Limit-cycle phase in driven-dissipative spin systems

Ching Kit Chan, Tony E. Lee, Sarang Gopalakrishnan

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


We explore the phase diagram of interacting spin-1/2 systems in the presence of anisotropic interactions, spontaneous decay, and driving. We find a rich phase diagram featuring a limit-cycle phase in which the magnetization oscillates in time. We analyze the spatiotemporal fluctuations of this limit-cycle phase based on a Gaussian-Floquet analysis. Spatial fluctuations destroy long-range limit-cycle ordering for dimension d≤2, as a time-dependent generalization of the Mermin-Wagner theorem. This result can be interpreted in terms of a spatiotemporal Goldstone mode corresponding to phase fluctuations of the limit cycle. We also demonstrate that the limit-cycle phase exhibits an asymmetric power spectrum measurable in fluorescence experiments.

Original languageEnglish (US)
Article number051601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
StatePublished - May 11 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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