Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions

Abstract

While the recently realized dissipative time crystal in a laser-pumped atom-cavity system in the experiment of Keßler et al. [Phys. Rev. Lett. 127, 043602 (2021)] is qualitatively consistent with a theoretical description in an idealized limit, here, we investigate the stability of this dissipative time crystal in the presence of an inhomogeneous potential provided by a harmonic trap, and competing short- and infinite-range interactions. We note that these features are ubiquitous in any realization of atom-cavity systems. By mapping out the dynamical phase diagram and studying how it is modified by the harmonic trap and short-range interactions, we demonstrate the persistence of long-lived dissipative time crystals beyond the idealized limit. We show the emergence of metastable dissipative time crystals with and without prethermalization plateaus for tight harmonic confinement and strong contact interaction, respectively.

10 pages, 9 figures

References in corpus (11)

• Quantum fluids of light
• Cold atoms in cavity-generated dynamical optical potentials
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Dynamical phase transition in the open Dicke model
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
• Self-organization of a Bose-Einstein condensate in an optical cavity
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Realization of a periodically driven open three-level Dicke model
• Parametrically driven-dissipative three-level Dicke model

Cited by in corpus (22)

• Dissipative time crystal in a strongly interacting Rydberg gas
• Continuous sensing and parameter estimation with the boundary time-crystal
• Measurement Induced Continuous Time Crystals
• Quantum trajectories of dissipative time-crystals
• Mode softening in time-crystalline transitions of open quantum systems
• Dissipative prethermal discrete time crystal
• Nonequilibrium transition between dissipative time crystals
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• Realizing limit cycles in dissipative bosonic systems
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Condensate formation in a dark state of a driven atom-cavity system
• Non-equilibrium phases of Fermi gas inside a cavity with imbalanced pumping
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Discrete time crystal in an open optomechanical system
• Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
• The time crystal phase emerges from the qubit network under unitary random operations
• The role of atomic interactions in cavity-induced continuous time crystals
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
• Robustness of the Floquet-assisted superradiant phase and possible laser operation
• Metastable discrete time-crystal resonances in a dissipative central spin system