Dissipative time crystals originating from parity-time symmetry

Abstract

The authors provide evidence for the emergence of a class of dissipative time crystals when parity-time ($\mathcal{P}\phantom{\rule{0}{0ex}}\mathcal{T}$) symmetry is restored in collective spin systems with Lindblad dynamics. They show that a standard model of boundary time crystals satisfies Liouvillian $\mathcal{P}\phantom{\rule{0}{0ex}}\mathcal{T}$ symmetry, and prove that boundary time crystals exist only when the stationary state is $\mathcal{P}\phantom{\rule{0}{0ex}}\mathcal{T}$ symmetric in the large-spin limit.

Topics & Concepts