2019
DOI: 10.1103/physrevresearch.1.033204
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Interacting symmetry-protected topological phases out of equilibrium

Abstract: We show that the dynamics of generic isolated quantum systems admits a topological classification which captures universal features of many-body wavefunctions far from equilibrium. Specifically, we consider two short-ranged entangled wavefunctions to be topologically equivalent if they can be interconverted via finite-time unitary evolution governed by a symmetry-respecting Hamiltonian. By analogy to the classification of symmetry-protected topological phases, we consider the projective action of the symmetry … Show more

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Cited by 24 publications
(17 citation statements)
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References 67 publications
(148 reference statements)
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“…When the system in question features a combination of unitary and antiunitary symmetries, one can determine whether the coherence will remain protected by consulting the classification tables in Refs. [23,24], which enumerate those phases that are stable once antiunitary symmetries are removed.…”
Section: Coherence Time Of Topological Bound Statesmentioning
confidence: 99%
See 1 more Smart Citation
“…When the system in question features a combination of unitary and antiunitary symmetries, one can determine whether the coherence will remain protected by consulting the classification tables in Refs. [23,24], which enumerate those phases that are stable once antiunitary symmetries are removed.…”
Section: Coherence Time Of Topological Bound Statesmentioning
confidence: 99%
“…Our newfound intuition suggests that if the SPT is protected by (anti-)unitary symmetries, then the topological bound state will (not) remain coherent upon coupling to an environment. More precisely, those phases that can be trivialized by explicitly breaking all antiunitary symmetries will exhibit decoherence; this particular class of SPTs has been classified in a different context [23,24].…”
mentioning
confidence: 99%
“…To complete the comparison of S D to a topological invariant, it would be interesting to investigate the evolution of S D when the protecting symmetry is explicitly broken and the maximal entanglement of the edge state is no more set topologically, such as in the Rice-Mele model [79]. It would also be interesting to use entanglement topological invariants to characterize the real-time dynamics of other instances of topological insulators in the presence of a bath [66].…”
Section: Discussionmentioning
confidence: 99%
“…Thus, β i,r (t) = o(1/r) on all sites and for all times: although the range of H fic (t) increases with time, the Hamiltonian is short range. H i and H fic (t) are thus connected unitarily, continuously, locally and without closing the gap, as if by an adiabatic connection [64][65][66] (no extra hypothesis of adiabaticity was imposed in the reasoning). Therefore, unless the system experiences a dynamical phase transition, H i and H fic (t) are in the same topological phase relative to the PHS, and if one has robust edge states, so does the other.…”
Section: Invariance Of S D During Unitary Evolution: the Role Of Partmentioning
confidence: 99%
“…Introduction.-Classification of topological phases of matter is a central issue in modern condensed matter physics [1]. Particular recent interest is attracted by the classification of topological systems far from thermal equilibrium [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. This tendency is largely driven by the remarkable experimental developments in atomic, molecular and optical physics, which have opened up unprecedented flexibility for controlling and probing quantum many-body dynamics [16][17][18][19][20][21].…”
mentioning
confidence: 99%