Related papers: Measuring out quasi-local integrals of motion from entanglement

Measuring out quasi-local integrals of motion from entanglement

URL: http://arxiv.org/abs/2301.01787v4
Date: Tue, 21 Nov 2023 17:44:36 GMT
Title: Measuring out quasi-local integrals of motion from entanglement
Authors: B. Lu, C. Bertoni, S. J. Thomson, J. Eisert
Abstract summary: We show how to extract the real-space properties of quasi-local integrals of motion based on a spatially-resolved entanglement probe. We show that the entanglement gives rise to a well-defined length scale that can be measured in experiments.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Quasi-local integrals of motion are a key concept underpinning the modern understanding of many-body localisation, an intriguing phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to compute them - and astoundingly in the light of the observation that much of the phenomenology of many properties can be derived from them - it is not obvious how to directly measure aspects of them in real quantum simulations; in fact, the smoking gun of their experimental observation is arguably still missing. In this work, we propose a way to extract the real-space properties of such quasi-local integrals of motion based on a spatially-resolved entanglement probe able to distinguish Anderson from many-body localisation from non-equilibrium dynamics. We complement these findings with a new rigorous entanglement bound and compute the relevant quantities using tensor networks. We demonstrate that the entanglement gives rise to a well-defined length scale that can be measured in experiments.

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