A list of theoretical publications exploring various phenomena in quantum optomechanics
W. Thomson, On the Mechanical action of Radiant Heat or Light: On the Power of Animated Creatures over Matter: On the Sources available to Man for the production of Mechanical Effect, Proc. R. Soc. Edinb. B 3, 108 (1857)
A. Einstein, On the Development of our Understanding of the Nature and Composition of Radiation, Physik. Z. 10, 817 (1909)
A. Einstein, B. Podolsky and N. Rosen, Can Quantum-mechanical Description of Physical Reality be Considered Complete?, Phys. Rev. 47, 777 (1935)
J. Williamson, On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems, Am. J. Phys. 58, 141 (1936)
R. J. Glauber, Coherent and Incoherent States of the Radiation Field, Phys. Rev. 131, 2766 (1963)
J. S. Bell, On the Einstein Podolsky Rosen Paradox, Phys. Phys. Fiz. 1, 195 (1964)
J. S. Bell, On the Problem of Hidden Variables in Quantum Mechanics, Rev. Mod. Phys. 38, 447 (1966)
V. B. Braginskii and A. B. Manukin, Ponderomotive Effects of Electromagnetic Radiation, Sov. Phys. JEPT 25, 653 (1967)
S. J. Freedman and J. F. Clauser, Experimental Test of Loacal Hidden-Variable Theories, Phys. Rev. Lett. 28, 938 (1972)
C. M. Caves, Quantum-Mechanical Radiation-Pressure Fluctuations in an Interferometer, Phys. Rev. Lett. 45, 75 (1980)
R. Benguria and M. Kac, Quantum Langevin Equations, Phys. Rev. Lett. 46, 1 (1980)
A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes and H. Walther, Optical Bistability and Mirror Confinement Induced by Radiation Pressure, Phys. Rev. Lett. 51, 1550 (1983)
C. W. Gardiner and M. J. Collett, Input and Output in Damped Quantum Systems: Quantum Stochastic Differential Equations and the Master Equation, Phys. Rev. A 31, 3761 (1985)
R. Simon, E. C. G. Sudarshan and N. Mukunda, Gaussian-Wigner Distributions in Quantum Mechanics and Optics, Phys. Rev. A 36, 3868 (1987)
G. W. Ford, J. T. Lewis and R. F. O’Connell, Quantum Langevin Equation, Phys. Rev. A 37, 4419 (1988)
W. H. Zurek, Decoherence and the Transition from Quantum to Classical, Physics Today 44, 36 (1991)
H. M. Wiseman and G. J. Milburn, Quantum Theory of Optical Feedback via Homodyne Detection, Phys. Rev. Lett. 70, 548 (1993)
C. W. Gardiner, Driving a Quantum System with the Output Field From Another Driven Quantum System, Phys. Rev. Lett. 70, 2269 (1993)
H. J. Carmichael, Quantum Trajectory Theory for Cascaded Open Systems, Phys. Rev. Lett. 70, 2273 (1993)
H. M. Wiseman and G. J. Milburn, All-optical versus Electro-optical Quantum-limited Feedback, Phys. Rev. A 49, 4110 (1994)
L. Ruby, Applications of the Mathieu Equation, Am. J. Phys. 64, 39 (1996)
A. Peres, Separability Criterion for Density Matrices, Phys. Rev. Lett. 77, 1413 (1996)
P. Horodecki, Separability Criterion and Inseparable Mixed States with Positive Partial Transposition, Phys. Lett. A 232, 333 (1997)
X.-G. Wang and S.-H. Pan, Quantum Fluctuations of a Mesoscopic RLC Circuit in a Displaced Squeezed Fock State, Chin. Phys. Lett. 17, 171 (2000)
H.-Y. Fan and X.-T. Liang, Quantum Fluctuation in Thermal Vacuum State for Mesoscopic LC Electric Circuit, Chin. Phys. Lett. 17, 174 (2000)
L.-M. Duan, G. Giedke, J. I. Cirac and P. Zoller, Inseparability Criterion for Continuous Variable Systems, Phys. Rev. Lett. 84, 2722 (2000)
R. Simon, Peres-Horodecki Separability Criterion for Continuous Variable Systems, Phys. Rev. Lett. 84, 2726 (2000)
Y.-H. Ji and M.-S. Lei, Squeezing Effects of a Mesoscopic Dissipative Coupled Circuit, Int. J. Theor. Phys. 41, 1339 (2002)
G. Vidal and R. F. Werner, Computable Measure of Entanglement, Phys. Rev. A 65, 032314 (2002)
M. Bennett, M. F. Schatz, H. Rockwood and K. Wiesenfeld, Huygen’s Clocks, Proc. R. Soc. Lond. A 458, 563 (Mar, 2002)
S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos and Y. Fink, Perturbation Theory for Maxwell’s Equations with Shifting Material Boundaries, Phys. Rev. E 65, 066611 (Jun, 2002)
J. Zhang and Z. Lu, Similarity between Grover’s Quantum Search Algorithm and Classical Two-body Collisions, Am. J. Phys. 71, 83 (2003)
F. Sivrikaya and B. Yener, Time Synchronization in Sensor Networks: A Survey, IEEE Network 18, 45 (2004)
G. Adesso, A. Serafini and F. Illuminati, Determination of Continuous Variable Entanglement by Purity Measurements, Phys. Rev. Lett. 92, 087901 (2004)
G. Adesso, A. Serafini and F. Illuminati, Extremal Entanglement and Mixedness in Continuous Variable Systems, Phys. Rev. A 70, 022318 (2004)
V. Giovannetti, S. Lloyd and L. Maccone, Quantum-enhanced Measurements: Beating the Standard Quantum Limit, Science 306, 1330 (2004)
E. Gerjuoy, Shor’s Factoring Algorithm and Modern Cryptography. An Illustration of the Capabilities Inherent in Quantum Computers, Am. J. Phys. 73, 521 (2005)
M. F. Sacchi, Entanglement can Enhance the Distuinguishability of Entanglement-breaking Channels, Phys. Rev. A 72, 014305 (2005)
S. L. Braunstein and P. van Loock, Quantum Information with Continuous Variables, Rev. Mod. Phys. 77, 513 (2005)
G. Adesso and F. Illuminati, Entanglement in Continuous-variable Systems: Recent Advances and Current Perspectives, J. Phys. A: Math. Theor. 40, 7821 (2007)
F. Marquardt, J. P. Chen, A. A. Clerk and S. M. Girvin, Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion, Phys. Rev. Lett. 99, 093902 (2007)
M. Ludwig, B. Kubala and F. Marquardt, The Optomechanical Instability in the Quantum Regime, New J. Phys. 10, 095013 (2008)
S.-H. Tan, B. I. Erkmen, V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, S. Pirandola and J. H. Shapiro, Quantum Illumination with Gaussian States, Phys. Rev. Lett. 101, 253601 (2008)
J. Gough and M. R. James, The Series Product and Its Application to Quantum Feedforward and Feedback Networks, IEEE Trans. Automat. Contr. 54, 2530 (2009)
C. A. Regal and K. W. Lehnert, From Cavity Electromechanics to Cavity Optomechanics, J. Phys.: Conf. Ser. 264, 012025 (Jul, 2010)
M. R. Vanner, I. Pikovski, G. D. Cole, M. S. Kim, C. Brukner, K. Hammerer, G. J. Milburn, M. Aspelmeyer, Pulsed Quantum Optomechanics, PNAS 39, 16182 (2011)
M. Poot, H. S. J. van der Zant, Mechanical Systems in the Quantum Regime, Phys. Rep. 511, 273 (2012)
S. Olivares, Quantum Optics in Phase Space, Eur. Phys. J. Spec. Top. 203, 3 (2012)
C. Weedbrook, S. Pirandola, R. Garcia-Patron, N. J. Cerf, T. C. Ralph, J. H. Shapiro and S. Lloyd, Gaussian Quantum Information, Rev. Mod. Phys. 84, 621 (2012)
M. Aspelmeyer, P. Meystre and K. Schwab, Quantum Optomechanics, Physics Today 65, 29 (2012)
N. Lorch, J. Qian, A. Clerk, F. Marquardt and K. Hammerer, Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime, Phys. Rev. X 4, 011015 (2014)
M. Metcalfe, Applications of Cavity Optomechanics, Appl. Phys. Rev. 1, 031105 (2014)
M. Aspelmeyer, T. J. Kippenberg, F. Marquardt, Cavity Optomechanics, Rev. Mod. Phys. 86, 1391 (Dec, 2014)
H. M. Oliveria and L. V. Melo, Huygens Synchronizatioin of Two Clocks, Sci. Rep. 5, 11548 (2015)
B. D. Hauer, J. Maciejko and J. P. Davis, Nonlinear Power Spectral Densities for the Harmonic Oscillator, Ann. Phys. (N. Y.) 361, 148 (2015)
R. Bhatia and T. Jain, On Symplectic Eigenvalues of Positive Definitive Matrices, J. Math. Phys. 56, 112201 (2015)
B. Sarma and A. K. Sarma, Controllable Optical Bistability in a Hybrid Optimechanical System, J. Opt. Soc. Am. B 33, 1335 (2016)
H. Shi and M. Bhattacharya, Optomechanics based on Angular Momentum Exchange between Light and Matter, J. Phys. B: At. Mol. Opt. Phys. 49, 153001 (2016)
J. Pena Ramirez, L. A. Olvera, H. Nijmeijer and J. Alvarez, The Sympathy of Two Pendulum Clocks: Beyond Huygens’ Observations, Sci. Rep. 6, 23580 (2016)
J. Combes, J. Kerckhoff and M. Sarovar, The SLH Framework for Modeling Quantum Input-output Networks, Adv. Phys. X 2, 784 (2017)
S. Khorasani, Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity, Photonics 4, 48 (2017)
I. Kovacic, R. Rand and S. M. Sah, Mathieu’s Equation and its Generalizations: Overview of Stability Charts and their Features, Appl. Mech. Rev. 70, 020802 (2018)
P. Rakich and F. Marquardt, Quantum Theory of Continuum Optomechanics, New J. Phys. 20, 045005 (2018)
E. Zeuthen, A. Schliesser, J. M. Taylor, A. S. Sorensen, Electrooptomechanical Equivalent Circuits for Quantum Transduction, Phys. Rev. Applied 10, 044036 (2018)
M. Huber, L. Lami, C. Lancien and A. Muller-Hermes, High-dimensional Entanglement in States with Positive Partial Transposition, Phys. Rev. Lett. 121, 200503 (2018)
S. Khorasani, Higher-order Interactions in Quantum Optomechanics: Analysis of Quadratic Terms, Sci. Rep. 8, 16676 (2018)
M. M. Cunha, A. Fonseca and E. O. Silva, Tripartite Entanglement: Foundations and Applications, Universe 5, 209 (2019)
Y.-P. Wang and C.-M. Hu, Dissipative Couplings in Cavity Magnonics, J. Appl. Phys. 127, 130901 (2020)
Y. Tang, J. Kurths, W. Lin, E. Ott and L. Kocarev, Introduction to Focus Issue: When Machine Learning meets Complex Systems: Networks, Chaos, and Nonlinear Dynamics, Chaos 30, 063151 (2020)
A. K. Sarma, S. Chakraborty and S. Kalita, Continuous Variable Quantum Entanglement in Optomechanical Systems: A Short Review, AVS Quantum Sci. 3, 015901 (2021)
X. Zhou, D. Cattiaux, D. Theron and E. Collin, Electric Circuit Model of Microwave Optomechanics, J. Appl. Phys. 129, 114502 (Mar, 2021)
A. Blais, A. L. Grimsmo, S. M. Girvin, A. Wallraff, Circuit Quantum Electrodynamics, Rev. Mod. Phys. 93, 025005 (May, 2021)
P. Kumar, T. Biswas, K. Feliz, R. Kanamoto, M.-S. Chang, A. K. Jha and M. Bhattacharya, Cavity Optomechanical Sensing and Manipulation of an Atomic Persistent Current, Phys. Rev. Lett. 127, 113601 (Sep, 2021)
S. Borah, B. Sarma, M. Kewming, G. J. Milburn and J. Twamley, Measurement-Based Feedback Quantum Control with Deep Reinforcement Learning for a Double-Well Nonlinear Potential, Phys. Rev. Lett. 127, 190403 (Nov, 2021)
A. K. Sarma and S. Kalita, Tutorial: Cavity Quantum Optomechanics, Indian J. Pure Appl. Phys. 61, 622 (July, 2023)
E. X. DeJesus and C. Kaufman, Routh-Hurwitz Criterion in the Examination of Eigenvalues of a system of Nonlinear Ordinary Differential Equations, Phys. Rev. A 35, 5288 (1987)
A. S. Hodel, B. Tenison and K. R. Poolla, Numerical Solution to the Lyapunov Equation by Approximate Power Iteration, Linear Algebra Its Appl. 236, 205 (1996)
L. F. Shampine and S. Thomson, Solving DDEs in MATLAB, Appl. Numer. Math. 37, 441 (2001)
T. A. Brun, A Simple Model of Quantum Trajectories, Am. J. Phys. 70, 719 (Jun, 2002)
S. Sedaghat, Y. Ordokhani and M. Dehghan, Numerical Solution of the Delay Differential Equations of Pantograph Type via Chebyshev Polynomials, Commun. Nonlinear Sci. Numer. Simulat. 17, 4815 (2012)
J. R. Johansson, P. D. Nation and F. Nori, QuTiP: An Open-source Python Framework for the Dynamics of Open Quantum Systems, Comput. Phys. Commun. 183, 1760 (2012)
J. R. Johansson, P. D. Nation and F. Nori, QuTiP: A Python Framework for the Dynamics of Open Quantum Systems, Comput. Phys. Commun. 184, 1234 (2013)
N. Killoran, J. Izzac, N. Quesada, V. Bergholm, A. Matthew and C. Weedbrook, Strawberry Fields: A Software Platform for Photonic Quantum Computing, Quantum 3, 129 (2019)
M. J. S. Beach, I. D. Vlugt, A. Golubeva, P. Huembeli, B. Kulchytskyy, X. Luo, R. G. Melko, E. Merali and G. Torlai, QuCumber: Wavefunction Reconstruction with Neural Networks, Sci. Post. Phys. 7, 009 (2019)
J.-Q. Liao and F. Nori, Photon Blockade in Quadratically Coupled Optomechanical Systems, Phys. Rev. A 88, 023853 (2013)
B. Sarma and A. K. Sarma, Unconventional Photon Blockade in Three-mode Optomechanics, Phys. Rev. A 98, 013826 (2018)
B. Sarma and A. K. Sarma, Tunable Phonon Blockade in Weakly Nonlinear Coupled Mechanical Resonators via Coulomb Interaction, Sci. Rep. 8, 14583 (2018)
D.-Y. Wang, C.-H. Bai, S. Liu, S. Zhang, H.-F. Wang, Distinguishing Photon Blockade in a PT-symmetric Optomechical System, Phys. Rev. A 99, 043818 (2019)
L. Bakemeier, A. Alvermann and H. Fehske, Route to Chaos in Optomechanics, Phys. Rev. Lett. 114, 013601 (2015)
X.-Y. Lu, H. Jing, J.-Y. Ma and Y. Wu, PT-Symmetry-Breaking Chaos in Optomechanics, Phys. Rev. Lett. 114, 253601 (2015)
T. F. Roque, F. Marquardt and O. M. Yevtushenko, Nonlinear Dynamics of Weakly Dissipative Optomechanical Systems, New J. Phys. 22, 013049 (2020)
Y. A. Kharkov, V. E. Sotskov, A. A. Karazeev, E. O. Kiktenko and A. K. Fedorov, Revealing Quantum Chaos with Machine Learning, Phys. Rev. B 101, 064406 (2020)
B. Bandyopadhyay and T. Banerjee, Revival of Oscillation and Symmetry Breaking in Coupled Quantum Oscillators, Chaos 31, 063109 (2021)
T. Z. Jiahao, M. A. Hsieh and E. Forgoston, Knowledge-based Learning of Nonlinear Dynamics and Chaos, Chaos 31, 111101 (2021)
Y.-P. Gao, X.-C. Liu, K. Wang, Y. Zhang, Dissipation Assisted Frequency Comb and Chaos Generation in the Optomechanics, IEEE Photon. J., 14, 1 (2022)
I. Martin, A. Shnirman, L. Tian and P. Zoller, Ground-state Cooling of Mechanical Resonators, Phys. Rev. B 69, 125339 (Mar, 2004)
I. Wilson-Rae, N. nooshi, W. Zwerger and T. J. Kippenberg, Theory of Ground State Cooling of a Mechanical Oscillator Using Dynamical Backaction, Phys. Rev. Lett. 99, 093901 (Aug, 2007)
C. Genes, D. Vitali, P. Tombesi, S. Gigan and M. Aspelmeyer, Ground-state Cooling of a Micromechanical Oscillator: Comparing Cold Damping and Cavity-assisted Cooling Schemes, Phys. Rev. A 77, 033804 (Mar, 2008)
J. Hauss, A. Fedorov, S. Andre, V. Brosco, C. Hutter, R. Kothari, S. Yeshwanth, A. Shnirman and G. Schon, Dissipation in Circuit Quantum Electrodynamics: Lasing and Cooling of a Low-frequency Oscillator, New J. Phys. 10, 085018 (Sep, 2008)
K. Jaehne, K. Hammerer and M. Wallquist, Ground-state Cooling of a Nanomechanical Resonator via a Cooper-pair Box Qubit, New J. Phys. 10, 085019 (Sep, 2008)
B. Sarma and A. K. Sarma, Ground-state Cooling of Micromechanical Oscillators in the Unresolved-sideband Regime induced by a Quantum Well, Phys. Rev. A 93, 033845 (Mar, 2016)
K. V. Kepesidis, T. J. Milburn, J. Huber, K. G. Mais, S. Rotter and P. Rabl, PT-symmetry Breaking in the Steady State of Microscopic Gain-loss System, New J. Phys. 18, 095003 (Sep, 2016)
M. Mikkelsen, T. Fogarty, J. Twamley and Th. Busch, Optomechanics with a Position-modulated Kerr-type Nonlinear Coupling, Phys. Rev. A 96, 043832 (Oct, 2017)
M. Kounalakis, Y. M. Blanter and G. A. Steele, Flux-mediated Optomechanics with a Transmon Qubit in the Single-photon Ultrastrong-coupling Regime, Phys. Rev. Research 2, 023335 (Jun, 2020)
N. Malossi, P. Piergentili, J. Li, E. Serra, R. Natali, G. Di Giuseppe and D. Vitali, Sympathetic Cooling of a Radio-frequency LC Circuit to its Ground State in an Optoelectromechanical System, Phys. Rev. A 103, 033516 (Mar, 2021)
R. Nongthombam, A. Sahoo and A. K. Sarma, Ground-state Cooling of a Mechanical Oscillator via a Hybrid Electro-optomechanical System, Phys. Rev. A 104, 023509 (Aug, 2021)
S. Mancini, V. Giovannetti, D. Vitali and P. Tombesi, Entangling Macroscopic Oscillators Exploiting Radiation Pressure, Phys. Rev. Lett. 88, 120401 (2002)
D. Vitali, P. Tombesi, M. J. Woolley, A. C. Doherty and G. J. Milburn, Entangling a Nanomechanical Resonator and a Superconducting Microwave Cavity, Phys. Rev. A 76, 042336 (2007)
D. Vitali, S. Gigan, A. Ferreira, H. R. Bohm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger and M. Aspelmeyer, Optomechanical Entanglement between a Movable Mirror and a Cavity Field, Phys. Rev. Lett. 99, 030405 (2007)
M. Paternostro, D. Vitali, S. Gigan, M. S. Kim, C. Brukner, J. Eisert and M. Aspelmeyer, Creating and Probing Multipartite Macroscopic Entanglement with Light, Phys. Rev. Lett. 99, 250401 (2007)
A. Mari and J. Eisert, Gently Modulating Optomechanical Systems, Phys. Rev. Lett. 103, 213603 (2009)
S. Barzanjeh, D. Vitali, P. Tombesi and G. J. Milburn, Entangling Optical and Microwave Cavity Modes by means of a Nanomechanical Resonator, Phys. Rev. A 84, 042342 (Oct, 2011)
I. Pikovski, M. R. Vanner, M. Aspelmeyer, M. S. Kim and C. Brukner, Probing Planck-scale Physics with Quantum Optics, NatPhys 8, 393 (2012)
Sh. Barzanjeh, M. Abdi, G. J. Milburn, P. Tombsei and D. Vitali, Reversible Optical-to-Microwave Quantum Interface, Phys. Rev. Lett. 109, 130503 (Sep, 2012)
U. Akram, W. Munro, K. Nemoto and G. J. Milburn, Photon-phonon Entanglement in Coupled Optomechanical Arrays, Phys. Rev. A 86, 042306 (2012)
H. Tan, L. F. Buchmann, H. Seok and G. Li, Achieving Steady-state Entanglement of Remote Micromechanical Oscillators by Cascaded Cavity Coupling, Phys. Rev. A 87, 022318 (2012)
Y.-D. Wang and A. A. Clerk, Reservoir-engineered Entanglement in Optomechanical Systems, Phys. Rev. Lett. 110, 253601 (2013)
C. Joshi, U. Akram and G. J. Milburn, An All-optical Feedback Assisted Steady State of an Optomechanical Array, New J. Phys. 16, 023009 (2014)
R.-X. Chen, L.-T. Shen, Z.-B. Yang, H.-Z. Wu and S.-B. Zheng, Enhancement of Entanglement in Distant Mechanical Vibrations via Modulation in a Coupled Optomechanical System, Phys. Rev. A 89, 023843 (2014)
M. Asjad, P. Tombsei and D. Vitali, Enhancing the Entanglement by Negative Feedback, QIM 2014 QW5A, 1 (2014)
E. A. Sete, H. Eleuch and C. H. Raymond Ooi, Light-to-matter Entanglement Transfer in Optomechanics, J. Opt. Soc. Am. B 31, 2821 (2014)
S. Barzanjeh, S. Guha, C. Weedbrook, D. Vitali, J. H. Shapiro and S. Pirandola, Microwave Quantum Illumination, Phys. Rev. Lett. 114, 080503 (2015)
J. Li, I. M. Haghighi, N. Malossi, S. Zippilli and D. Vitali, Generation and Detection of Large and Robust Entanglement between Two Different Mechanical Resonators in Cavity Optomechanics, New J. Phys. 17, 103037 (2015)
M. Asjad, P. Tombesi and D. Vitali, Feedback Control of Two-Mode Output Entanglement and Steering in Cavity Optomechanics, Phys. Rev. A 94, 052312 (2016)
M. Wang, X.-Y. Lu, Y.-D. Wang, J. Q. You and Y. Wu, Macroscopic Quantum Entanglement in Modulated Optomechanics, Phys. Rev. A 94, 053807 (2016)
U. Vool and M. Devoret, Introduction to Quantum Electromagnetic Circuits, Int. J. Circuit Theory Appl. 45, 897 (2017)
J. Li, G. Li, S. Zippilli, D. Vitali and T. Zhang, Enhanced Entanglement of Two Different Mechanical Resonators via Coherent Feedback, Phys. Rev. A 95, 043819 (2017)
S. Chakraborty and A. K. Sarma, Enhancing Quantum Correlations in an Optomechanical System via Cross-Kerr Nonlinearity, J. Opt. Soc. Am. B 34, 1503 (2017)
S. Chakraborty and A. K. Sarma, Delayed Sudden Death of Entanglement at Exceptional Points, Phys. Rev. A 100, 063846 (2019)
C. Jiang, S. Tserkis, K. Collins, S. Onoe, Y. Li and L. Tian, Switchable Bipartite and Genuine Tripartite Entanglement via an Optoelectromechanical Interface, Phys. Rev. A 101, 042320 (2020)
J. Li and S. Groblacher, Stationary Quantum Entanglement between a Massive Mechanical Membrane and a Low Frequency LC Circuit, New J. Phys. 22, 063041 (2020)
A. Matsumura and K. Yamamoto, Gravity-induced Entanglement in Optomechanical Systems, Phys. Rev. D 102, 106021 (2020)
J.-H. Gan, H. Xiong, L.-G. Si, X.-Y. Lu and Y. Wu, Solitons in Optomechanical Arrays, Opt. Lett. 41, 2676 (2016)
H. Xiong, J. Gan and Y. Wu, Kuznetsov-Ma Soliton Dynamics Based on the Mechanical Effect of Light, Phys. Rev. Lett. 119, 153901 (2017)
H. Chen, H. Zhou, A. Zheng and G. Zhang, Discrete Ultra-slow Optical Solitons based on Optomechanical Effect, Opt. Express 27, 8578 (2019)
A. Sahoo and S. Roy, Stability and Variational Analysis of Cavity Solitons under Various Perturbations, Phys. Rev. A 100, 053814 (2019)
H.-Y. Fan and X.-Y. Pan, Quantization and Squeezed State of Two L-C Circuits with Mutual Inductance, Chin. Phys. Lett. 15, 625 (1998)
K. Jahne, C. Genes, K. Hammerer, M. Wallquist, E. S. Polzik and P. Zoller, Cavity-assisted Squeezing of a Mechanical Oscillator. Phys. Rev. A 79, 063819 (2009)
W.-J. Gu, G.-X. Li and Y.-P. Yang, Generation of Squeezed States in a Movable Mirror via Dissipative Optomechanical Coupling, Phys. Rev. A 88, 013835 (2013)
A. Kronwald, F. Marquardt and A. A. Clerk, Arbitrarily Large Steady-state Bosonic Squeezing via Dissipation, Phys. Rev. A 88, 063833 (2013)
M. Asjad et al, Robust Stationary Mechanical Squeezing in a Kicked Quadratic Optomechanical System, Phys. Rev. A 89, 023849 (2014)
X.-Y. Lu, J.-Q. Liao, L. Tian and F. Nori, Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity, Phys. Rev. A 91, 013834 (2015)
J.-S. Zhang, M.-C. Li and A.-X. Chen, Enhancing Quadratic Optomechanical Coupling via a Nonlinear Medium and Lasers, Phys. Rev. A 99, 013843 (2019)
R. Zhang, Y. Fang, Y.-Y. Wang, S. Chesi and Y.-D. Wang, Strong Mechanical Squeezing in an Unresolved-sideband Optomechanical System, Phys. Rev. A 99, 043805 (2019)
J.-S. Zhang and A.-X. Chen, Large Mechanical Squeezing beyond 3dB of Hybrid Atom-optomechanical Systems in a Highly Unresolved Sideband Regime, Opt. Express 28, 9 (2020)
C.-H. Bai, D.-Y. Wang, S. Zhang, S. Liu and H.-F. Wang, Strong Mechanical Squeezing in a Standard Optomechanical System by Pump Modulation, Phys. Rev. A 101, 053836 (2020)
W.-J. Zhang, Y. Zhang, Q. Guo, A-P. Liu, G. Li and T. Zhang, Strong Mechanical Squeezing and Optomechanical Entanglement in a Dissipative Double-cavity System via Pump Modulation, Phys. Rev. A 104, 053506 (2021)
W. Qin, A. Miranowicz and F. Nori, Beating the 3 dB Limit for Intracavity Squeezing and Its Application to Nondemolition Qubit Readout, Phys. Rev. Lett. 129, 123602 (2022)
S. Huang, Quantum State Transfer in Cavity Electro-optic Modulators, Phys. Rev. A 92, 043845 (Oct, 2015)
G. D. de Moraes Neto, F. M. Andrade, V. Montenegro and S. Bose, Quantum State Transfer in Optomechanical Arrays, Phys. Rev. A 93, 062339 (Jun, 2016)
J. Cao, W.-X. Cui, X. X. Yi, H.-F. Wang, Controllable Photon-phonon Convesion via a Topologically Protected Edge Channel in an Optomechanical Lattice, Phys. Rev. A 103, 023504 (Feb, 2021)
K. Wiesenfeld, P. Colet and S. H. Stogatz, Synchronization Transitions in a Disordered Josephson Series Array, Phys. Rev. Lett. 76, 404 (1996)
L. M. Pecora and T. L. Carroll, Master Stability Functions for Synchronized Coupled Systems, Phys. Rev. Lett. 80, 2109 (1998)
G. Heinrich, M. Ludwig, J. Qian, B. Kubala and F. Marquardt, Collective Dynamics in Optomechanical Arrays, Phys. Rev. Lett. 107, 043603 (2011)
H. Yin, P. G. Mehta, S. P. Meyn and U. V. Shanbhag, Synchronization of Coupled Oscillators is a Game, IEEE Trans. Automat. Contr. 57, 920 (2012)
C. A. Holmes, C. P. Meaney and G. J. Milburn, Synchronization of Many Nanomechanical Resonators Coupled via a Common Cavity Field, Phys. Rev. E 85, 066203 (2012)
M. Ludwig and F. Marquardt, Quantum Many-body Dynamics in Optomechanical Arrays, Phys. Rev. Lett. 111, 073603 (2013)
A. Mari, A. Farace, N. Didier, V. Giovannetti and R. Fazio, Measures of Quantum Synchronization in Continuous Variable Systems, Phys. Rev. Lett. 111, 103605 (2013)
T. E. Lee and H. R. Sadeghpour, Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions, Phys. Rev. Lett. 111, 234101 (Dec, 2013)
M. Xu, D. A. Tieri, E. C. Fine, J. K. Thompson and M. J. Holland, Synchronization of Two Ensembles of Atoms, Phys. Rev. Lett. 113, 154101 (2014)
V. Ameri, M. Eghbali-Arani, A. Mari, A. Farace, F. Kheirandish, V. Giovannetti and R. Fazio, Mutual Information as an Order Parameter for Quantum Synchronization, Phys. Rev. A 91, 012301 (2015)
M. R. Hush, W. Li, S. Genway, I. Lesanovsky and A. D. Armour, Spin Correlations as a Probe of Quantum Synchronization in Trapped-ion Phonon Lasers, Phys. Rev. A 91, 061401 (Jun, 2015)
S. Walter, A. Nunnenkamp and C. Bruder, Quantum Synchronization of Two Van der Pol Oscillators, Ann. Phys. (Berl.) 527, 131 (Aug, 2015)
T. Weiss, A. Kronwald and F. Marquardt, Noise-induced Transitions in Optomechanical Synchronization, New J. Phys. 18, 013043 (2016)
T. Li, T.-Y. Bao, Y.-L. Zhang, C.-L. Zou, X.-B. Zou and G.-C. Guo, Long-distance Synchronization of Unidirectionally Cascaded Optomechanical Systems, Opt. Express 24, 012336 (May, 2016)
N. Lorch, E. Amitai, A. Nunnenkamp and C. Bruder, Genuine Quantum Signatures in Synchronization of Anharmonic Self-Oscillators, Phys. Rev. Lett. 117, 073601 (Aug, 2016)
W. Li, F. Zhang, C. Li and H. Song, Quantum Synchronization in a Star-type Cavity QED Network, Commun. Nonlinear Sci. Numer. Simulat. 42, 121 (Jan, 2017)
T. Weiss, S. Walter and F. Marquardt, Quantum-coherent Phase Oscillations in Synchronization, Phys. Rev. A 95, 041802 (2017)
E. Amitai, N. Lorch, A. Nunnenkamp, S. Walter and C. Bruder, Synchronization of an Optomechanical System to an External Drive, Phys. Rev. A 95, 053858 (2017)
N. Lorch, S. E. Nigg, A. Nunnenkamp, R. P. Tiwari and C. Bruder, Quantum Synchronization Blockade: Energy Quantization Hinders Synchronization of Identical Oscillators, Phys. Rev. Lett. 118, 243602 (2017)
F. Bemani, A. Motazedifard, R. Roknizadeh, M. H. Naderi and D. Vitali, Synchronization Dynamics of two Nanomechanical Membranes within a Fabry-Perot Cavity, Phys. Rev. A 96, 023805 (2017)
S. E. Nigg, Observing Quantum Synchronization Blockade in Circuit Quantum Electrodynamics, Phys. Rev. A 97, 013811 (2018)
S. Sonar, M. Hajdusek, M. Mukherjee, R. Fazio, V. Vedral, S. Vinjanampathy and L.-C. Kwek, Squeezing Enhances Quantum Synchronization, Phys. Rev. Lett. 120, 163601 (2018)
G.-j. Qiao, H.-x. Gao, H.-d. Liu and X. X. Yi, Quantum Synchronization of Two Mechanical Oscillators in Coupled Optomechanical Systems with Kerr Nonlinearity, Sci. Rep. 8, 15614 (2018)
M. Koppenhofer and A. Roulet, Optimal Synchronization Deep in the Quantum Regime: Resource and Fundamental Limit, Phys. Rev. A. 99, 043804 (2019)
G. Karpat, I. Yalcinkaya and B. Cakmak, Quantum Synchronization in a Collision Model, Phys. Rev. A 100, 012133 (2019)
N. Yang, A. Miranowicz, Y.-C. Liu, K. Xia and F. Nori, Chaotic Synchronization of Two Optical Cavity Modes in Optomechanical Systems, Sci. Rep. 9, 15874 (2019)
Q. X. Meng, Z. J. Deng, Z. Zhu and L. Huang, Quantum Signatures of Transition from Stable Fixed Points to Limit Cycles in Optomechanical Systems, Phys. Rev. A. 101, 023838 (2020)
M. Koppenhofer, C. Bruder and A. Roulet, Quantum Synchronization on the IBM Q System, Phys. Rev. Research 2, 023026 (2020)
G. Karpat, I. Yalcinkaya and B. Cakmak, Quantum Synchronization of Few-body Systems under Collective Dissipation, Phys. Rev. A 101, 042121 (2020)
G. J. Qiao, X. Y. Liu, H. D. Liu, C. F. Sun and X. X. Yi, Quantum $\phi$ Synchronization in a Coupled Optomechanical System with Periodic Modulation, Phys. Rev. A 101, 053813 (2020)
W.-K. Mok, L.-C. Kwek and H. Heimonen, Synchronization Boost with Single-photon Dissipation in the Deep Quantum Regime, Phys. Rev. Research 2, 033422 (2020)
N. Jaseem, M. Hajdusek, P. Solanki, L.-C. Kwek, R. Fazio and S. Vinjanampathy, Generalized Measure of Quantum Synchronization, Phys. Rev. Research 2, 043287 (2020)
D. V. Skryabin, Z. Fan, A. Villois and D. N. Puzyrev, Threshold of Complexity and Arnold Tongues in Kerr-ring Resonators, Phys. Rev. A 103, L011502 (2021)
Y. Kato and H. Nakao, Enhancement of Quantum Synchronization via Continuous Measurement and Feedback Control, New J. Phys. 23, 013007 (2021)
S. Kalita, S. Chakraborty and A. K. Sarma, Switching of Quantum Synchronization in Coupled Optomechanical Oscillators, J. Phys. Commun. 5, 115006 (2021)
R. Nongthombam, S. Kalita and A. K. Sarma, Synchronization of a Superconducting Qubit to an Optical Field mediated by a Mechanical Resonator, Phys. Rev. A 107, 013528 (2023)
G. S. Agarwal and S. Huang, Electromagnetically Induced Transparency in Mechanical Effects of Light, Phys. Rev. A. 81, 041803 (2010)
X.-G. Zhan, L.-G. Si, A.-N. Zheng and X. Yang, Tunable Slow Light in a Quadratically Coupled Optomechanical System, J. Phys. B: At. Mol. Opt. Phys. 46, 025501 (2013)
A. Kronwald and F. Marquardt, Optomechanically Induced Transparency in the Nonlinear Quantum Regime, Phys. Rev. Lett. 111, 133601 (2013)
C. Dong, J. Zhang, V. Fiore and H. Wang, Optomechanically Induced Transparency and Self-induced Oscillations with Bogoluibov Mechanical Modes, Optica 1, 425 (2014)
H. Xiong, L.-G. Si, X. Yang and Y. Wu, Asymmetric Optical Transmission in an Optomechanical Array, Appl. Phys. Lett. 107, 091116 (2015)
Z. Duan, B. Fan, T. M. Stace, G. J. Milburn and C. A. Holmes, Induced Transparency in Optomechanically Coupled Resonators, Phys. Rev. A 93, 023802 (2016)
H. Lu, Y. Jiang, Y.-Z. Wang and H. Jing, Optomechanically Induced Transparency in a Spinning Resonator, Photon. Res. 5, 367 (2017)
H. Xiong and Y. Wu, Fundamentals and Applications of Optomechanically Induced Transparency, Appl. Phys. Rev. 5, 031305 (2018)
Y.-F. Jiao, T.-X. Lu and H. Jing, Optomechanical Second-order Sidebands and Group Delays in a Kerr Resonator, Phys. Rev. A. 97, 013843 (2018)
K. Yan, Y. Zhang, Y. Cui and C. Jiang, Controllable Optical Response in a Quadratically Coupled Optomechanical System with Mechanical Driving, Opt. Commun. 475, 126249 (2020)
J.-X. Peng, Z. Chen, Q.-Z. Yuan and X.-L. Feng, Double Optomechanically Induced Transparency in a Laguerre-Gaussian Rovibrational Cavity, Phys. Lett. A 384, 126153 (2020)
X.-B. Yan, Optomechanically Induced Transparency and Gain, Phys. Rev. A 101, 043820 (2020)
D.-G. Lai, X. Wang, W. Qin, B.-P. Hou, F. Nori and J.-Q. Liao, Tunable Optomechanically Induced Transparency by Controlling the Dark-mode Effect, Phys. Rev. A. 102, 023707 (2020)
Y.-N. Zhao, T. Wang, D.-Y. Wang, X. Han, S. Zhang and H.-F. Wang, Optical Amplification and Fast-Slow Light in a Three-Mode Cavity Optomechanical System without Rotating Wave Approximation, Photonics 8, 384 (2021)
S. Jalil, M. Abbas, A. Y. Tahir and Ziauddin, Optomechanically Induced Transparency and Fano Resonance in a Four-mirror Cavity, Phys. Scr. 96, 125112 (2021)
S. Kalita, P. Kumar, R. Kanamoto, M. Bhattacharya and A. K. Sarma, Pump-probe Cavity Optomechanics with a Rotating Atomic Superfluid in a Ring, Phys. Rev. A 107, 013525 (Jan, 2023)
J. I. Cirac, P. Zoller, H. J. Kimble and. Mabuchi, Quantum State Transfer and Entanglement Distribution among Distant Nodes in a Quantum Network, Phys. Rev. Lett. 78, 3221 (1997)
O. V. Zhirov and D. L. Shepelyansky, Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator, Phys. Rev. Lett. 100, 014101 (2008)
S. Huang and G. S. Agarwal, Normal-mode Splitting and Antibunching in Stokes and Anti-Stokes Processes in Cavity Optomechanics- Radiation-pressure-induced Four-wave-mixing Cavity Optomechanics, Phys. Rev. A. 81, 033830 (2010)
A. Nunnenkamp, K. Borkje, J. G. E. Harris and S. M. Girvin, Cooling and Squeezing via Quadratic Optomechanical Coupling, Phys. Rev. A 82, 021806 (2010)
C. P. Meaney, R. H. McKenxie and G. J. Milburn, Quantum Entanglement Between a Nonlinear Nanomechanical Resonator and a Microwave Field, Phys. Rev. E 83, 056202 (2011)
G. L. Giorgi, F. Galve, G. Manzano, P. Colet and R. Zambrini, Quantum Correlation and Mutual Synchronization, Phys. Rev. A 85, 052101 (2012)
A. Farace and V. Giovannetti, Enhancing Quantum Effects via Periodic Modulations in Optomechanical Systems, Phys. Rev. A 86, 013820 (2012)
G. Manzano, F. Galve, G. L. Giorgi, E. Hernandez-Garcia and R. Zambrini, Synchronization, Quantum Correlations and Entanglement in Oscillator Networks, Sci. Rep. 3, 01439 (2013)
T. E. Lee, C.-K. Chan and S. Wang, Entanglement Tongue and Quantum Synchronization of Disordered Oscillators, Phys. Rev. E 89, 022913 (2014)
G. Wang, L. Huang, Y.-C. Lai and C. Grebogi, Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems, Phys. Rev. Lett. 112, 110406 (2014)
S. Shahidani, M. H. Naderi, M. Soltanolkotabi and S. Barzanjeh, Steady-state Entanglement, Cooling, and Tristability in a Nonlinear Optomechanical Cavity, J. Opt. Soc. Am. B 31, 1087 (2014)
T. Ojanen and K. Borkje, Ground-state Cooling of Mechanical Motion in the Unresolved Sideband Regime by use of Optomechanically Induced Transparency, Phys. Rev. A 90, 013824 (2014)
L. Ying, Y.-C. Lai and C. Grebogi, Quantum Manifestation of a Synchronization Transition in Optomechanical Systems, Phys. Rev. A 90, 053810 (2014)
W. Li, C..i and H. Song, Quantum Synchronization and Quantum State Sharing in an Irregular Complex Network, Phys. Rev. E 95, 022204 (2017)
D. Witthaut, S. Wimberger, R. Burioni and M. Timme, Classical Synchronization indicates Persistent Entanglement in Isolated Quantum Systems, Nat. Commun. 8, 14829 (2017)
X. Yang, Z. Yin and M. Xiao, Optomechanically Induced Entanglement, Phys. Rev. A. 99, 013811 (2018)
A. Roulet and C. Bruder, Quantum Synchronization and Entanglement Generation, Phys. Rev. Lett. 121, 063601 (2018)
C.-G. LLo, R.-X. Chen, H. Xie, M.-Y. He and X.-M. Lin, Quantum Synchronization and Correlations of Two Mechanical Resonators in a Dissipative Optomechanical System, Phys. Rev. A. 99, 033818 (2019)
I. I. Arkhipov, T. H. Yoon and A. Miranowicz, Enhancing Entanglement Detection of Quantum Optical Frequency Combs via Stimulated Emission, Sci. Rep. 9, 5090 (2019)
H.-X. Zhang, C.-H. Fan and J.-H. Wu, In-phase and Anti-phase Entanglement Dynamics of Rydberg Atomic Pairs, Opt. Express 38, 35350 (2020)
Z.-Q. Liu, C.-S. Hu, Y.-K. Jiang, W.-J. Su, H. Wu, Y. Li and S.-B. Zheng, Engineering Optomechanical Entanglement via Dual-mode Cooling with a Single Reservoir, Phys. Rev. A 103, 023525 (2021)
M. Cattaneo, G. L. Giorgi, S. Maniscalco, G. S. Paraoanu and R. Zambrini, Bath-Induced Collective Phenomena on Superconducting Qubits: Synchronization, Subradiance, and Entanglement Generation, Ann. Phys. 533, 2100038 (2021)
D.-G. Lai, W. Qin, B.-P. Hou, A. Miranowicz and F. Nori, Significant Enhancement in Refrigeration and Entanglement in Auxiliary-cavity-assisted Optomechanical Systems, Phys. Rev. A 104, 043521 (2021)
S. Kalita, S. Shah and A. K. Sarma, Significant Optoelectrical Entanglement and Mechanical Squeezing in a Multimodulated Optoelectromechanical System, Phys. Rev. A 106, 043501 (2022)
P. Banerjee, S. Kalita and A. K. Sarma, Robust Mechanical Squeezing beyond 3 dB in a Quadratically Coupled Optomechanical System, J. Opt. Soc. Am. B 40, 1398 (2023)
J. Nash, Equilibrium Points in N-person Games, PNAS 36, 48 (1949)
J. Nash, Non-cooperative Games, Ann. Math. 54, 286 (1951)
H. P. Lin and H. E. Stovall, Self-synchronizing Communication Protocols, IEEE Trans. Comput. 38, 609 (1989)
V. Scarani, Quantum Computing, Am. J. Phys. 66, 956 (1998)
L. K. Grover, From Schrodinger’s Equation to the Quantum Search Algorithm, Am. J. Phys. 69, 769 (2001)
E. Knill, R. Laflamme, G. J. Milburn, A Scheme for Efficient Quantum Computation with Linear Optics, Nature 409, 46 (2001)
A. G. Litvak and M. D. Tokman, Electromagnetically Induced Transparency in Ensembles of Classical Oscillators, Phys. Rev. Lett. 88, 095003 (2002)
C. L. G. Alzar, M. A. G. Martinez and P. Nussenzveig, Classical Analog of Electromechanically Induced Transparency, Am. J. Phys. 70, 37 (2002)
N. D. Mermin, From Cbits to Qbits: Teaching Computer Scientists Quantum Mechanics, Am. J. Phys. 71, 23 (2003)
M. Morelli, C.-C. J. Kuo and M.-O. Pun, Synchronization Techniques for Orthogonal Frequency Division Multiple Access (OFDMA): A Tutorial Review, Proc. IEEE 95, 1394 (2007)
T. J. Kippenberg, R. Holzwarth and S. A. Diddams, Microresonator-based Optical Frequency Combs, Science 332, 555 (2011)
S. Huang, Double Electromagnetically Induced Transparency and Narrowing of Probe Absorption in a Ring Cavity with Nanomechanical Mirrors, J. Phys. B: At. Mol. Opt. Phys. 47, 055504 (2014)
P. Kumar and S. Dasgupta, Sharply Tunable Group Velocity in Alkali Vapors using a Single Low-power Control Field, J. Phys. B: At. Mol. Opt. Phys. 47, 175501 (2014)
V. Torres-Company, A. M. Weiner, Optical Frequency Comb Technology for Ultra-broadband Radio-frequency Photonics, Laser Photonics Rev. 8, 368 (2014)
I. Goodfellow et al, Generative Adversarial Nets, NIPS 27 2, 2672
P.-C. Ma, J.-Q. Zhang, Y. Xiao, M. Feng and Z.-M. Zhang, Tunable Double Optomechanically Induced Transparency in an Optomechanical System, Phys. Rev. A 90, 043825 (2014)
Y. LeCun, Y. Bengio and G. Hinton, Deep Learning, Nature 521, 436 (2015)
J. A. Souza, L. Cabral, R. R. Oliveira an C. J. Villas-Boas, EElectromagnetically-induced-transparency-related Phenomena and their Mechanical Analogs, Phys. Rev. A 92, 023818 (2015)
D. Silver et al, Mastering the Game of Go with Deep Neural Networks and Tree Search, Nature 529, 484 (2016)
M. Aspelmeyer, C. Brukner, D. Giulini and G. J. Milburn, Focus on Gravitational Quantum Physics, New J. Phys. 19, 050401 (2017)
M. Sumetsky, Optical Frequency Combs generated Mechanically, Opt. Lett. 42, 3197 (2017)
M. Zhao, T. Li, M. A. Alsheikh, Y. Tian, H. Zhao, A. Torralba and D. Katabi, Through-Wall Human Pose Estimation Using Radio Signals, CVPR 2018, 7356 (2018)
M.-A. Miri, G. D’Aguanno and A. Alu, Optomechanical Frequency Combs, New J. Phys. 20, 043013 (2018)
P. Mehta, M. Bukov, C.-H. Wang, A. Day, C. Richardson, C. Fisher and D. Schwab, A High-bias, Low-variance Introduction to Machine Learning for Physicists, Phys. Rep. 810, 1 (2018)
V. Dunjko and H. J. Briegel, Machine Learning & Artificial Intelligence in the Quantum Domain: a Review of Recent Progress, Rep. Prog. Phys. 81, 074001 (2018)
C. Chan, S. Ginosar, T. Zhou and A. A. Efros, Everybody Dance Now, ICCV 2019, 5933 (2019)
O. Pfister, Continuous-variable Quantum Computing in the Quantum Optical Frequency Comb, J. Phys. B: At. Mol. Opt. Phys. 53, 012001 (2019)
D. Rajan and M. Visser, Quantum Blockchain using Entanglement in Time, Quantum Rep. 1, 3 (2019)
K. Bharti, T. Haug, V. Vedral and L.-C. Kwek, Machine Learning Meets Quantum Foundations: A Brief Survey, AVS Quantum Sci. 2, 034101 (2020)
P. Chowdhury, A. K. Pati and J.-L. Chen, Wave and Particle Properties can be Spatially Separated in a Quantum Entity, Photon. Res. 9, 1379 (2021)
V. Ansari et al, Achieving the Ultimate Quantum Timing Resolution, PRX Quantum 2, 010301 (2021)
E. Altman et al, Quantum Simulators: Architectures and Opportunities, PRX Quantum 2, 017003 (2021)
Y. Ban, X. Chen, E. Torrontegui, E. Solano and J. Casanova, Speed-up Quantum Perceptron via Shortcuts to Adiabaticity, Sci. Rep. 11, 5783 (2021)