Dissipative phase transitions in optomechanical systems

Abstract

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes optomechanical dynamics in strong and ultrastrong coupling regimes. As a consequence optomechanical systems possess a rich phase diagram consisting of periodic orbits, discontinuous, and continuous dissipative phase transitions with and without bifurcation. We also find a critical point where continuous and discontinuous dissipative phase transition lines meet. Our analysis demonstrates that optomechanical systems are valuable for understanding the rich physics of dissipative phase transitions and ultrastrong coupling regimes.

References in corpus (47)

• Cavity Optomechanics
• Peres-Horodecki separability criterion for continuous variable systems
• Quantum fluids of light
• Ultrastrong coupling regimes of light-matter interaction
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Open Quantum Systems. An Introduction
• Quantum phase transitions of light
• Chaos and the Quantum Phase Transition in the Dicke Model
• Extremal entanglement and mixedness in continuous variable systems
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Keldysh Field Theory for Driven Open Quantum Systems
• Spectral theory of Liouvillians for dissipative phase transitions
• Dynamical multistability in high-finesse micromechanical optical cavities
• Dissipative Phase Transition in Central Spin Systems
• Robust entanglement of a micromechanical resonator with output optical fields
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Probing a dissipative phase transition via dynamical optical hysteresis
• Quantum Simulation with Interacting Photons
• Dynamics of Nonequilibrium Dicke Models
• Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
• Geometry of quantum phase transitions
• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Critical dynamical properties of a first-order dissipative phase transition
• Signatures of a dissipative phase transition in photon correlation measurements
• Cavity cooling of a levitated nanosphere by coherent scattering
• Observation of the photon-blockade breakdown phase transition
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Quantum Optomechanics in the Bistable Regime
• Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime
• Ultrastrong parametric coupling between a superconducting cavity and a mechanical resonator
• Nonclassical mechanical states in an optomechanical micromaser analogue
• Driven-dissipative phase transition in a Kerr oscillator: From semiclassical $\mathcal{P}\mathcal{T}$ symmetry to quantum fluctuations
• Simulating Quantum Fields with Cavity QED
• Dissipative Topological Phase Transition with Strong System-Environment Coupling
• Nonlinear dynamics of weakly dissipative optomechanical systems
• Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
• Continuous Dissipative Phase Transitions without Symmetry Breaking
• Dissipation-driven quantum phase transitions in collective spin systems
• Dissipation-driven phase transition in 2D Josephson arrays

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• Exact steady state of quantum van der Pol oscillator: critical phenomena and enhanced metrology
• Quantum Metrology in the Ultrastrong Coupling Regime of Light-Matter Interactions: Leveraging Virtual Excitations without Extracting Them
• Macroscopic entanglement between localized domain walls inside a cavity