Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
arXiv:2209.12949 · doi:10.1103/PhysRevLett.130.180401
Abstract
We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems and permutationally invariant systems. The condition relates a nonzero macroscopic cumulant correlation in the steady state to the presence of gapless modes in the Lindbladian. In phases arising from competing coherent and dissipative Lindbladian terms, we argue that such gapless modes, concomitant with angular momentum conservation, can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals. We study different models within this perspective, from Lindbladians with Hermitian jump operators, to non-Hermitian ones composed by collective spins and Floquet spin-boson systems. We also provide a simple analytical proof for the exactness of mean-field semiclassical approach in such systems based on a cumulant expansion.
arXiv comment18 pages, 7 figures
References in corpus (39)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Many-body localization, thermalization, and entanglement
- Quantum Time Crystals
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Time crystals: a review
- Symmetries and conserved quantities in Lindblad master equations
- Spectral theory of Liouvillians for dissipative phase transitions
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Non-stationary coherent quantum many-body dynamics through dissipation
- Discrete Time Crystals
- Boundary time crystals
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Quantum Synchronization of Two Ensembles of Atoms
- Observation of a continuous time crystal
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Quantum Interface of an Electron and a Nuclear Ensemble
- Floquet time crystals in clock models
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Symmetries and conserved quantities of boundary time crystals in generalized spin models
- Yang-Baxter integrable Lindblad equations
- Boundary time crystals in collective -level systems
- Integrable quantum dynamics of open collective spin models
- Exact solutions of interacting dissipative systems via weak symmetries
- Emergent parametric resonances and time-crystal phases in driven BCS systems
- Dissipative time crystals with long-range Lindbladians
- Collective effects on the performance and stability of quantum heat engines
- Quantum spin chain dissipative mean-field dynamics
- Steady-state spin synchronization through the collective motion of trapped ions
- Genuine Multipartite Correlations in a Boundary Time Crystal
- Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems
- Dissipative time crystals originating from parity-time symmetry
- Quantum Physics in Connected Worlds
Cited by in corpus (17)
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
- Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
- Boundary Time Crystals as AC sensors: enhancements and constraints
- Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
- Time Crystal in a Single-mode Nonlinear Cavity
- An exactly solvable dissipative spin liquid
- Nonstabilizerness of a Boundary Time Crystal
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
- Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
- Dissipative phase transition: from qubits to qudits
- Dissipative chaos and steady state of open Tavis-Cummings dimer
- Transient and steady-state chaos in dissipative quantum systems
- Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach