arXiv:1910.03584cond-mat.str-el
Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
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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.
nature article is paywalled, but looks like this arxiv from last year is the same? https://arxiv.org/abs/2107.09676 Dumitrescu et al not my area, but I think they're working with 'floquet systems' (the same platform used to build a time crystal) and 'mbl systems' (a kind of…
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