Albert Cabot
Metastable discrete time-crystal resonances in a dissipative central spin system
Cabot, Albert; Carollo, Federico; Lesanovsky, Igor
Abstract
We consider the nonequilibrium 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 nonequilibrium 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.
Citation
Cabot, A., Carollo, F., & Lesanovsky, I. (2022). Metastable discrete time-crystal resonances in a dissipative central spin system. Physical Review B, 106(13), Article 134311. https://doi.org/10.1103/physrevb.106.134311
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 13, 2022 |
Online Publication Date | Oct 27, 2022 |
Publication Date | Oct 1, 2022 |
Deposit Date | Nov 1, 2022 |
Publicly Available Date | Dec 2, 2022 |
Journal | Physical Review B |
Print ISSN | 2469-9950 |
Electronic ISSN | 2469-9969 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 106 |
Issue | 13 |
Article Number | 134311 |
DOI | https://doi.org/10.1103/physrevb.106.134311 |
Public URL | https://nottingham-repository.worktribe.com/output/12902089 |
Publisher URL | https://journals.aps.org/prb/abstract/10.1103/PhysRevB.106.134311 |
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