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Experimentally accessible witnesses of many-body localisation

by M. Goihl, M. Friesdorf, A. H. Werner, W. Brown, J. Eisert

Submission summary

As Contributors: Marcel Goihl
Arxiv Link: https://arxiv.org/abs/1601.02666v3
Date submitted: 2019-03-28
Submitted by: Goihl, Marcel
Submitted to: SciPost Physics
Domain(s): Exp. & Theor.
Subject area: Condensed Matter Physics - Theory

Abstract

The phenomenon of many-body localised (MBL) systems has attracted significant interest in recent years, for its intriguing implications from a perspective of both condensed-matter and statistical physics: they are insulators even at non-zero temperature and fail to thermalise, violating expectations from quantum statistical mechanics. What is more, recent seminal experimental developments with ultra-cold atoms in optical lattices constituting analog quantum simulators have pushed many-body localised systems into the realm of physical systems that can be measured with high accuracy. In this work, we introduce experimentally accessible witnesses that directly probe distinct features of MBL, distinguishing it from its Anderson counterpart. We insist on building our toolbox from techniques available in the laboratory, including on-site addressing, super-lattices, and time-of-flight measurements, identifying witnesses based on fluctuations, density-density correlators, densities, and entanglement. We build upon the theory of out of equilibrium quantum systems, in conjunction with tensor network and exact simulations, showing the effectiveness of the tools for realistic models.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1601.02666v3 on 28 March 2019

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