Metastable discrete time-crystal resonances in a dissipative central spin system

• URL: http://arxiv.org/abs/2205.11263v1
• Date: Mon, 23 May 2022 12:27:09 GMT
• Title: Metastable discrete time-crystal resonances in a dissipative central spin system
• Authors: Albert Cabot, Federico Carollo and Igor Lesanovsky
• Abstract summary: Generalizing the theory of metastability in open quantum systems, we develop an effective description for the evolution within a long-lived metastable subspace. Our study links to timely questions concerning emergent collective behavior in the 'prethermal' stage of a dissipative quantum many-body evolution.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the non-equilibrium behavior of a central spin system where the central spin is periodically reset to its ground state. The quantum mechanical evolution under this effectively dissipative dynamics is described by a discrete-time quantum map. Despite its simplicity this problem shows surprisingly complex dynamical features. In particular, we identify several metastable time-crystal resonances. Here the system does not relax rapidly to a stationary state but undergoes long-lived oscillations with a period that is an integer multiple of the reset period. At these resonances the evolution becomes restricted to a low-dimensional state space within which the system undergoes a periodic motion. Generalizing the theory of metastability in open quantum systems, we develop an effective description for the evolution within this long-lived metastable subspace and show that in the long-time limit a non-equilibrium stationary state is approached. Our study links to timely questions concerning emergent collective behavior in the 'prethermal' stage of a dissipative quantum many-body evolution and may establish an intriguing link to the phenomenon of quantum synchronization.

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