Weak-ergodicity-breaking via lattice supersymmetry

• URL: http://arxiv.org/abs/2003.11073v3
• Date: Mon, 5 Oct 2020 17:00:03 GMT
• Title: Weak-ergodicity-breaking via lattice supersymmetry
• Authors: Federica Maria Surace, Giuliano Giudici, Marcello Dalmonte
• Abstract summary: We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. Our work suggests a generic mechanism to stabilize quantum many-body scars in lattice models in arbitrary dimensions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets, also referred to as many-body scars, that we construct analytically. These states are stable against arbitrary SUSY-preserving perturbations, including inhomogeneous couplings. For the specific case of two-leg ladders, we provide extensive numerical evidence that shows how those states are the only ones violating the ETH, and discuss their robustness to SUSY-violating perturbations. Our work suggests a generic mechanism to stabilize quantum many-body scars in lattice models in arbitrary dimensions.

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