Dephasing-induced growth of discrete crystalline order in spin networks
arXiv:2106.02765 · doi:10.1103/PhysRevB.104.054304
Abstract
A quantum phase of matter can be understood from the symmetry of the system's Hamiltonian. The system symmetry along the time axis has been proposed to show a new phase of matter referred as discrete-time crystals (DTCs). A DTC is a quantum phase of matter in non-equilibrium systems, and it is also intimately related to the symmetry of the initial state. DTCs that are stable in isolated systems are not necessarily resilient to the influence from the external reservoir. In this paper, we discuss the dynamics of the DTCs under the influence of an environment. Specifically, we consider a non-trivial situation in which the initial state is prepared to partly preserve the symmetry of the Liouvillian. Our analysis shows that the entire system evolves towards a DTC phase and is stabilised by the effect of dephasing. Our results provide a new understanding of quantum phases emerging from the competition between the coherent and incoherent dynamics in dissipative non-equilibrium quantum systems.
arXiv comment9 pages, 6 Figures. Comments are welcom
References in corpus (47)
- A computable measure of entanglement
- Nonequilibrium dynamics of closed interacting quantum systems
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- A short introduction to the Lindblad Master Equation
- Universal digital quantum simulation with trapped ions
- Time crystals: a review
- Symmetries and conserved quantities in Lindblad master equations
- Spectral theory of Liouvillians for dissipative phase transitions
- Dissipative Phase Transition in Central Spin Systems
- Modeling spontaneous breaking of time-translation symmetry
- Pre-thermal phases of matter protected by time-translation symmetry
- Observation of a dissipative time crystal
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Relaxation times of dissipative many-body quantum systems
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Critical Time Crystals in Dipolar Systems
- Dicke time crystals in driven-dissipative quantum many-body systems
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- Dissipative spin chain as a non-Hermitian Kitaev ladder
- Floquet time crystals in clock models
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- Period- discrete time crystals and quasicrystals with ultracold bosons
- On time crystallinity in dissipative Floquet systems
- The fate of a discrete time crystal in an open system
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Discrete time crystal in globally driven interacting quantum systems without disorder
- Time crystallinity in open quantum systems
- Condensed Matter Physics in Time Crystals
- On Quantum Operations as Quantum States
- Replica resummation of the Baker-Campbell-Hausdorff series
- Floquet theorem for open systems and its applications
- Simulating complex quantum networks with time crystals
- Discrete time crystal in a finite chain of Rydberg atoms without disorder
- To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
- Lindblad-Floquet description of finite-time quantum heat engines
- Synthesizing Lattice Structure in Phase Space
- Bistability and time crystals in long-ranged directed percolation
- Chimera Time-Crystalline order in quantum spin networks
- Strong-Disorder Renormalization Group for Periodically Driven Systems
- Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
- Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
- Quantum metamorphism