Dissipative prethermal discrete time crystal

Abstract

An ergodic system subjected to an external periodic drive will be generically heated to infinite temperature. However, if the applied frequency is larger than the typical energy scale of the local Hamiltonian, this heating stops during a prethermal period that extends exponentially with the frequency. During this prethermal period, the system may manifest an emergent symmetry that, if spontaneously broken, will produce sub-harmonic oscillation of the discrete time crystal (DTC). We study the role of dissipation on the survival time of the prethermal DTC. On one hand, a bath coupling increases the prethermal period by slowing down the accumulation of errors that eventually destroy prethermalization. On the other hand, the spontaneous symmetry breaking is destabilized by interaction with environment. The result of this competition is a non-monotonic variation, i.e. the survival time of the prethermal DTC first increases and then decreases as the environment coupling gets stronger.

5+8 pages, 4+2 figures

References in corpus (12)

• Many body localization and thermalization in quantum statistical mechanics
• Quantum trajectories and open many-body quantum systems
• Absence of Quantum Time Crystals
• Time Dependent Variational Principle with Ancillary Krylov Subspace
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
• Avalanche stability transition in interacting quasiperiodic systems
• Lack of a genuine time crystal in a chiral soliton model
• Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?
• Dephasing-induced growth of discrete crystalline order in spin networks
• Discrete time-crystalline order in Bose-Hubbard model with dissipation

Cited by in corpus (13)

• Experimental Realization of Discrete Time Quasi-Crystals
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Stable measurement-induced Floquet enriched topological order
• Observation of multiple steady states with engineered dissipation
• Many-body nonequilibrium dynamics in a self-induced Floquet system
• Theory for dissipative time crystals in coupled parametric oscillators
• Prolonging a discrete time crystal by quantum-classical feedback
• Symmetry-induced fragmentation and dissipative time crystal
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Nonperturbative decay of bipartite discrete time crystals
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain