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Dissipation-induced topological insulators: A no-go theorem and a recipe

by Moshe Goldstein

Submission summary

As Contributors: Moshe Goldstein
Preprint link: scipost_201908_00003v1
Date submitted: 2019-08-01
Submitted by: Goldstein, Moshe
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

Dissipation has recently been recognized as means to generate, rather than destroy, nontrivial quantum states. Could these be topological? Here I give a general answer for Gaussian states and Lindblad evolution. I prove a no-go theorem stating that a finite-range Lindbladian cannot induce finite-rate exponential decay towards a unique topological pure state above 1D. I construct a recipe for creating such state by exponentially-local dynamics, or a mixed state arbitrarily close to the desired pure one via finite-range dynamics. I also discuss the cold-atom realization, classification, and detection of these states.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201908_00003v1 on 1 August 2019

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