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arXiv:2201.02162 · Nature Physics

Critical prethermal discrete time crystal created by two-frequency driving

William Beatrez, Christoph Fleckenstein, Arjun Pillai, Erica de Leon Sanchez, Amala Akkiraju, Jesus Diaz Alcala, Sophie Conti, Paul Reshetikhin, Emanuel Druga, Marin Bukov, Ashok Ajoy

Published Jan 12, 2023• 49 citations
arXivHTMLPDF
DOI
10.1038/s41567-022-01891-7

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An ergodic system subjected to an external periodic drive will be generically heated to infinite temperature. However, if the applied frequency is larger than the typical energy scale of the local Hamiltonian, this heating stops during a prethermal period that extends exponentially with the frequency. During this prethermal period, the system may manifest an emergent symmetry that, if spontaneously broken, will produce subharmonic oscillation of the discrete time crystal (DTC). We study the role of dissipation on the survival time of the prethermal DTC. On one hand, a bath coupling increases the prethermal period by slowing down the accumulation of errors that eventually destroy prethermalization. On the other hand, the spontaneous symmetry breaking is destabilized by interaction with environment. The result of this competition is a nonmonotonic variation, i.e., the survival time of the prethermal DTC first increases and then decreases as the environment coupling gets stronger.