A dissipative time crystal in an asymmetric non-linear photonic dimer
arXiv:1910.03499 · doi:10.1103/PhysRevA.101.033839
Abstract
We investigate the behavior of two coupled non-linear photonic cavities, in presence of inhomogeneous coherent driving and local dissipations. By solving numerically the quantum master equation, either by diagonalizing the Liouvillian superoperator or by using the approximated truncated Wigner approach, we extrapolate the properties of the system in a thermodynamic limit of large photon occupation. When the mean field Gross-Pitaevskii equation predicts a unique parametrically unstable steady-state solution, the open quantum many-body system presents highly non-classical properties and its dynamics exhibits the long lived Josephson-like oscillations typical of dissipative time crystals, as indicated by the presence of purely imaginary eigenvalues in the spectrum of the Liouvillian superoperator in the thermodynamic limit.
References in corpus (63)
- Many-Body Physics with Ultracold Gases
- Cavity Optomechanics
- Topological Photonics
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Quantum fluids of light
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Lasing in topological edge states of a 1D lattice
- Exciton-polariton topological insulator
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Time crystals: a review
- Symmetries and conserved quantities in Lindblad master equations
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- Spectral theory of Liouvillians for dissipative phase transitions
- Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Non-stationary coherent quantum many-body dynamics through dissipation
- Dynamical Critical Phenomena in Driven-Dissipative Systems
- Boundary time crystals
- Quantum simulations and many-body physics with light
- Coherent Oscillations in an Exciton-Polariton Josephson Junction
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Quantum Simulation with Interacting Photons
- Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
- Fractional quantum Hall states of photons in an array of dissipative coupled cavities
- Unconventional magnetism via optical pumping of interacting spin systems
- Polariton condensation in photonic molecules
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
- Quantum limited amplification and entanglement in coupled nonlinear resonators
- Critical dynamical properties of a first-order dissipative phase transition
- Quantum critical states and phase transitions in the presence of non equilibrium noise
- Nonequilibrium many-body steady states via Keldysh formalism
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Observation of the photon-blockade breakdown phase transition
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
- Emergent equilibrium in many-body optical bistability
- Geometry and response of Lindbladians
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
- Driven Markovian Quantum Criticality
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Dissipation Induced Nonstationarity in a Quantum Gas
- Interaction-induced hopping phase in driven-dissipative coupled photonic microcavities
- Heating-Induced Long-Range -Pairing in the Hubbard Model
- Power-laws in the dynamic hysteresis of quantum nonlinear photonic resonators
- Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
- Dynamics and universality in noise driven dissipative systems
- Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Critical behavior of dissipative two-dimensional spin lattices
- Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
- Observation of a phononic Mollow triplet in a hybrid spin-nanomechanical system
- Phase diagram of incoherently driven strongly correlated photonic lattices
- Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
- Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal
- Period-doubling in period- steady states
- Dynamical properties of dissipative XYZ Heisenberg lattices
- Functional Wigner representation of BEC quantum dynamics
- Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
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- Colloquium: Quantum and Classical Discrete Time Crystals
- All-Optical Dissipative Discrete Time Crystals
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Continuous sensing and parameter estimation with the boundary time-crystal
- Symmetries and conserved quantities of boundary time crystals in generalized spin models
- Boundary time crystals in collective -level systems
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Measurement Induced Continuous Time Crystals
- Dissipative time crystals with long-range Lindbladians
- Mesoscopic limit cycles in coupled nanolasers
- Quantum trajectories of dissipative time-crystals
- A dissipative time crystal with or without symmetry breaking
- Dissipative phase transitions in the fully-connected Ising model with -spin interaction
- Parametric instability in coupled nonlinear microcavities
- Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
- Out-of-Time-Ordered Crystals and Fragmentation
- Genuine Multipartite Correlations in a Boundary Time Crystal
- Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
- Nonequilibrium transition between dissipative time crystals
- Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
- Exotic synchronization in continuous time crystals outside the symmetric subspace
- Time Crystal in a Single-mode Nonlinear Cavity
- Autonomous chaos of exciton-polariton condensates
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
- Quantum dynamics of Dissipative Kerr solitons
- Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
- Signatures of Self-Trapping in the Driven-Dissipative Bose-Hubbard Dimer
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Dynamic renormalization group theory for open Floquet systems
- Chaotic and quantum dynamics in driven-dissipative bosonic chains
- Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction
- Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
- Interplay between polarization and quantum correlations of confined polaritons
- Generation of entanglement and non-stationary states via competing coherent and incoherent bosonic hopping
- Correspondence between dissipative phase transitions of light and time crystals
- Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
- Torus bifurcation of a dissipative time crystal
- Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
- Thermodynamics of coupled time crystals with an application to energy storage
- Exact steady state of quantum van der Pol oscillator: critical phenomena and enhanced metrology
- Nonlinearity-induced symmetry breaking in a system of two parametrically driven Kerr-Duffing oscillators
- Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
- Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
- Nonperturbative decay of bipartite discrete time crystals
- Chaos in Time: A Dissipative Continuous Quasi Time Crystals
- Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
- Quantum Dynamical Signatures of Topological Flow Transitions in Limit Cycle Phases
- Seeding crystallization in time
- Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
- Parameter estimation with one- and two-time measurements on the emission field of the boundary time crystal
- Path-Integral Formulation of Bosonic Markovian Open Quantum Dynamics with Monte Carlo stochastic trajectories using the Glauber-Sudarshan P, Wigner, and Husimi Q Functions and Hybrids