Dynamical signatures of symmetry protected topology following symmetry breaking

• URL: http://arxiv.org/abs/2101.12405v1
• Date: Fri, 29 Jan 2021 04:55:28 GMT
• Title: Dynamical signatures of symmetry protected topology following symmetry breaking
• Authors: Jacob A. Marks, Michael Sch\"uler, Thomas P. Devereaux
• Abstract summary: We investigate topological signatures in the short-time non-equilibrium dynamics of symmetry protected topological (SPT) systems. We show numerically that both the pure state and ensemble signatures are remarkably robust.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate topological signatures in the short-time non-equilibrium dynamics of symmetry protected topological (SPT) systems starting from initial states which break the protecting symmetry. Na\"ively, one might expect that topology loses meaning when a protecting symmetry is broken. Defying this intuition, we illustrate, in an interacting Su-Schrieffer-Heeger (SSH) model, how this combination of symmetry breaking and quench dynamics can give rise to both single-particle and many-body signatures of topology. From the dynamics of the symmetry broken state, we find that we are able to dynamically probe the equilibrium topological phase diagram of a symmetry respecting projection of the post-quench Hamiltonian. In the ensemble dynamics, we demonstrate how spontaneous symmetry breaking (SSB) of the protecting symmetry can result in a quantized many-body topological `invariant' which is not pinned under unitary time evolution. We dub this `dynamical many-body topology' (DMBT). We show numerically that both the pure state and ensemble signatures are remarkably robust, and argue that these non-equilibrium signatures should be quite generic in SPT systems, regardless of protecting symmetries or spatial dimension.

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