A dissipative time crystal with or without ${\mathbb{Z}}_2$ symmetry breaking

Abstract

We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete ${\mathbb{Z}}_2$ spatial symmetry which, depending on the strength of the drive, can be broken in the time-crystalline phase or it cannot. An exact semiclassical mean-field analysis, numerical simulations in the quantum regime, and the spectral analysis of the Liouvillian are combined to show the emergence of the time crystal and to prove the robustness of the oscillation period against quantum fluctuations.

arXiv commentFinal version accepted in NJP

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• Quantum trajectories of dissipative time-crystals
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• Realization of an inherent time crystal in a dissipative many-body system
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• Conductance transition with interacting bosons in an Aharonov-Bohm cage
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Correspondence between dissipative phase transitions of light and time crystals
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• Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer
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• Unpolarized prethermal discrete time crystal