Discrete time-crystalline order in Bose-Hubbard model with dissipation

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase of matter, called discrete time crystal (DTC). For open quant...

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Bibliographic Details
Published in:New journal of physics 2020-02, Vol.22 (2), p.23026
Main Authors: Dai, C M, Gu, Z C, Yi, X X
Format: Article
Language:English
Subjects:
discrete time crystal
Dissipation
Floquet systems
Metastable state
open quantum systems
Phases (state of matter)
Physics
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Summary:Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase of matter, called discrete time crystal (DTC). For open quantum systems, previous studies showed that DTC can be found only when there exists a meta-stable state in the undriven system. However, by investigating the simplest Bose-Hubbard model with dissipation and time periodically tunneling, we find in this paper that a 2T DTC can appear even when the meta-stable state is absent in the undriven system. This observation extends the understanding of DTC and shed more light on the physics behind the DTC. Besides, by the detailed analysis of simplest two-sites model, we show further that the two-sites model can be used as basic building blocks to construct large rings in which a nT DTC might appear. These results might find applications into engineering exotic phases in driven open quantum systems.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ab6ead