Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
Abstract
We show how a large family of interacting nonequilibrium phases of matter can arise from the presence of multiple time-translation symmetries, which occur by quasiperiodically driving an isolated quantum many-body system with two or more incommensurate frequencies. These phases are fundamentally different from those realizable in time-independent or periodically-driven (Floquet) settings. Focusing on high-frequency drives with smooth time-dependence, we rigorously establish general conditions for which these phases are stable in a parametrically long-lived `preheating' regime. We develop a formalism to analyze the effect of the multiple time-translation symmetries on the dynamics of the system, which we use to classify and construct explicit examples of the emergent phases. In particular, we discuss time quasi-crystals which spontaneously break the time-translation symmetries, as well as time-translation symmetry protected topological phases.
Keywords
Cite
@article{arxiv.1910.03584,
title = {Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems},
author = {Dominic V. Else and Wen Wei Ho and Philipp T. Dumitrescu},
journal= {arXiv preprint arXiv:1910.03584},
year = {2020}
}
Comments
27 pages + 11 pages appendices. v3 Published version, with expanded discussion on a few points