Photonic Josephson effect, phase transitions, and chaos in optomechanical systems

Abstract

A photonic analog of the Josephson effect is analyzed for a system formed by a partly transparent mechanical membrane dividing an optical cavity into two halves. Photons tunneling between the two sub-cavities constitute the coherent Jospehson current. The force acting upon the membrane due to the light pressure induces a nonlinearity which results in a rich dynamical structure. For example, contrary to standard bosonic Josephson systems, we encounter chaos. By means of a mean-field approach we identify the various regimes and corresponding phase diagram. At the short time scale, chaos is demonstrated to prevent regular self-trapping, while for longer times a dissipation induced self-trapping effect is possible.

4 pages, 2 figures

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Cited by in corpus (27)

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• Dynamics of Nonequilibrium Dicke Models
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• Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity
• Manifestation of classical nonlinear dynamics in optomechanical entanglement with a parametric amplifier
• The effect of Landau-Zener dynamics on phonon lasing
• Criterion of quantum synchronization and controllable quantum synchronization based on an optomechanical system
• Quantum $\phi$-synchronization in coupled optomechanical system with periodic modulation
• Impurity in a bosonic Josephson junction: swallowtail loops, chaos, self-trapping and the poor man's Dicke model
• Symmetry-breaking oscillations in membrane optomechanics
• Phonon Josephson Junction with Nanomechanical Resonators
• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
• Catastrophes in non-equilibrium many-particle wave functions: universality and critical scaling
• Dicke-type phase transition in a multimode optomechanical system
• Intermittency in an Optomechanical Cavity Near a Subcritical Hopf Bifurcation
• Mechanical cooling in the bistable regime of a dissipative optomechanical cavity with a Kerr medium
• Phononic Josephson oscillation and self-trapping with two-phonon exchange interaction
• Chaos in Optomechanical Systems coupled to a Non-Markovian environment
• Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
• Photon-phonon parametric oscillation induced by the quadratic coupling in an optomechanical resonator
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Non-Markovian environment induced chaos in optomechanical system
• A Floquet analysis perspective of driven light-matter interaction models
• Highly sensitive temperature sensing via quadratic optomechanical coupling
• Classical route to quantum chaotic motions