Discrete Time-Crystalline Order in Cavity and Circuit QED Systems

Abstract

Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic evolution of a local observable repeats itself at an integer multiple of the driving period. We address this issue in a driven-dissipative setup, focusing on the modulated open Dicke model, which can be implemented by cavity or circuit QED systems. In the thermodynamic limit, we employ semiclassical approaches and find rich dynamical phases on top of the discrete time-crystalline order. In a deep quantum regime with few qubits, we find clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart. We establish a phenomenology of dissipative discrete time crystals by generalizing the Landau theory of phase transitions to Floquet open systems.

6+13 pages, 4+8 figures, 0+1 table, accepted version

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Cited by in corpus (7)

• Constructing neural stationary states for open quantum many-body systems
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Lack of a genuine time crystal in a chiral soliton model
• Superradiant optomechanical phases of cold atomic gases in optical resonators
• Correspondence between dissipative phase transitions of light and time crystals
• Dynamical phase transition in Floquet optical bistable systems: An approach from finite-size quantum systems
• Discrete time-crystalline order in Bose-Hubbard model with dissipation