Discrete time crystals in the presence of non-Markovian dynamics
arXiv:2404.06890 · doi:10.1103/PhysRevA.110.012208
Abstract
We study discrete time crystals (DTCs) in periodically driven quantum systems, in the presence of non-Markovian dissipation. In contrast to DTCs observed in earlier works in the presence of Markovian dynamics, using the open Dicke model in presence of Jaynes-Cummings-like dissipation, we show that non-Markovian regime can be highly beneficial for stabilizing DTCs over a wide range of parameter values. This may be attributed to periodically varying dissipation rates even at long times in the case of non-Markovian dynamics. Further the Markovian and non-Markovian regimes show sharp distinctions for intermediate strengths of the dissipator coefficient, with a time-independent steady-state in the Markovian regime being replaced by varied dynamical phases, including DTC order, in the non-Markovian regime. We also verify the robustness of the DTC phase in the non-Markovian regime by introducing errors both in the Hamiltonian as well as in the dissipation. Our study shows the possibility of using DTC as a probe for non-Markovian dynamics in periodically modulated open quantum systems, at long times.
arXiv comment6 pages, 4 figures
References in corpus (40)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Observation of a Discrete Time Crystal
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Dynamics of a Quantum Phase Transition
- Discrete time crystals: rigidity, criticality, and realizations
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Universal adiabatic dynamics across a quantum critical point
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Modeling spontaneous breaking of time-translation symmetry
- Boundary time crystals
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Non-Markovian quantum dynamics: local versus non-local
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Observation of a continuous time crystal
- Colloquium: Quantum and Classical Discrete Time Crystals
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Dicke time crystals in driven-dissipative quantum many-body systems
- Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
- The isolated Heisenberg magnet as a quantum time crystal
- Time crystals in periodically driven systems
- Photonic Metamaterial Analogue of a Continuous Time Crystal
- On time crystallinity in dissipative Floquet systems
- The fate of a discrete time crystal in an open system
- Quantum metrology with boundary time crystals
- Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking
- Measurement Induced Continuous Time Crystals
- Minimal quantum heat manager boosted by bath spectral filtering
- The fate of dynamical many-body localization in the presence of disorder
- Efficiency of quantum controlled non-Markovian thermalization
- Out-of-Time-Ordered Crystals and Fragmentation
- Non-Markovianity, information backflow and system-environment correlation for open-quantum-system processes
- Floquet-induced localization in long-range many-body systems
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
- Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
- The promises and challenges of many-body quantum technologies: a focus on quantum engines