Mechanical PT symmetry in coupled optomechanical systems

Abstract

We propose to realize mechanical parity-time PT symmetry in two coupled optomechanical systems. To provide gain to one mechanical resonator and the same amount of damping to the other, the two optical cavities should be driven by blue- and red-detuned laser fields, respectively. After adiabatically eliminating the degrees of freedom of the cavity modes, we derive a formula to describe the PT symmetry of two coupled mechanical resonators. Mechanical PT-symmetric phase transition is demonstrated by the dynamical behavior of the mechanical resonators. Moreover, we study the effect of the quantum noises on the dynamical behavior of the mechanical resonators when the system is in the quantum regime.

12 pages, 11 figures

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Cited by in corpus (64)

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• Nonreciprocal conversion between microwave and optical photons in electro-optomechanical systems
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
• Phonon blockade in a nanomechanical resonator resonantly coupled to a qubit
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Parity-time symmetry in optical microcavity systems
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Selective optomechanically-induced amplification with driven oscillators
• Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system
• Multimode optomechanical cooling via general dark-mode control
• Tunable elastic Parity-Time symmetric structure based on the shunted piezoelectric materials
• Delayed sudden death of entanglement at exceptional points
• Frequency locking and controllable chaos through exceptional point in optomechanics
• Anomalous energy transport in laminates with exceptional points
• Observation of optomechanical coupling in a microbottle resonator
• Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system
• Distant entanglement enhanced in $\mathcal{P}\mathcal{T}$-symmetric optomechanics
• Realization and application of parity-time-symmetric oscillators in quantum regime
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Nonreciprocal single-photon frequency converter via multiple semi-infinite coupled-resonator waveguides
• PT-symmetric feedback induced linewidth narrowing
• Optomechanical dynamics in the $\mathcal{P}\mathcal{T}$- and broken-$\mathcal{P}\mathcal{T}$-symmetric regimes
• Multiple quantum wells for PT-symmetric phononic crystals
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
• Thermal noise cancellation for optomechanically induced nonreciprocity in a whispering-gallery-mode microresonator
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• Dynamical Gaussian quantum steering in optomechanics
• Virtual exceptional points in an electromechanical system
• Hidden PT Symmetry and quantization of coupled-oscillators model of QASER
• Generation of single entangled photon-phonon pairs via an atom-photon-phonon interaction
• $\mathcal{P}\mathcal{T}$-symmetric effects in measurement-based quantum thermal machines
• Phase-dependent double optomechanically induced transparency in a hybrid optomechanical cavity system with coherently mechanical driving
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• PT Symmetry, induced mechanical lasing and tunable force sensing in a coupled-mode optically levitated nanoparticle
• Low-power phonon lasing through position-modulated Kerr-type nonlinearity
• Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
• Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme
• Phononic Josephson oscillation and self-trapping with two-phonon exchange interaction
• Surface-acoustic-wave-controlled optomechanically induced transparency in a hybrid piezo-optomechanical planar distributed Bragg-reflector-cavity system
• Solitons in a chain of charge-parity-symmetric dimers
• Optomechanical amplification driven by interference of phonon-exciton and phonon-photon couplings
• Exceptional point enhanced optical gyroscope in mechanical PT-symmetric system
• Localizing EP sets in dissipative systems and the self-stability of bicycles
• A controllable anti-P-pseudo-Hermitian mechanical system and its application
• Full dynamics of two-membrane cavity optomechanics
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• Nonreciprocity of intense light field and weak quantum signal in optomechanical systems with three-mode parametric interactions
• Making the PT symmetry unbreakable
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Entanglement between uncoupled modes with time-dependent complex frequencies
• Improved coherence time of a non-Hermitian qubit in a $\mathcal{P}\mathcal{T}$-symmetric Environment
• Atom-driven multistability in an optomechanical cavity under broken PT-symmetry
• PT-symmetric and antisymmetric nonlinear states in a split potential box
• Enhanced sensing of non-Newtonian effects at ultrashort range with exceptional points in optomechanical systems
• All-optical photon transmission switching in a passive-active optomechanical system
• Gravitational waves detection with exceptional points in micro cavities
• Optical coupling control of isolated mechanical resonators
• Generalized Parity-Time Symmetry Condition for Enhanced Sensor Telemetry