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- W4287685356 abstract "Dynamical symmetries are algebraic constraints on quantum dynamical systems, which are often responsible for persistent temporal periodicity of observables. In this work, we discuss how an extensive set of strictly local dynamical symmetries can exist in an interacting many-body quantum system. These strictly local dynamical symmetries lead to spontaneous breaking of continuous time-translation symmetry, i.e. the formation of extremely robust and persistent oscillations when an infinitesimal time-dependent perturbation is applied to an arbitrary initial (stationary) state. Observables which do not overlap with the local (dynamical) symmetry operators can relax, losing memory of their initial conditions. The remaining observables enter highly robust non-equilibrium limit cycles, signaling the emergence of a non-trivial emph{quantum many-body attractor}. We provide an explicit recipe for constructing Hamiltonians featuring local dynamical symmetries. As an example, we introduce the XYZ spin-lace model, which is a model of a quasi-1D quantum magnet." @default.
- W4287685356 created "2022-07-26" @default.
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- W4287685356 date "2020-08-25" @default.
- W4287685356 modified "2023-09-23" @default.
- W4287685356 title "Quantum many-body attractors" @default.
- W4287685356 doi "https://doi.org/10.48550/arxiv.2008.11166" @default.
- W4287685356 hasPublicationYear "2020" @default.
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