On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems

Fuente: arXiv
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Main Authors: Roon, Eric B., Sims, Robert
Format: Preprint
Published: 2024
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author Roon, Eric B.
Sims, Robert
author_facet Roon, Eric B.
Sims, Robert
contents We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to quantum systems in [27], naturally extend to this setting. Given these bounds, we provide two applications. First, we use these results to obtain estimates on a strictly local approximation of these finite-volume, irreversible dynamics. Next, we show how these bounds can be used to estimate correlation decay in various states.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17577
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
Roon, Eric B.
Sims, Robert
Mathematical Physics
We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to quantum systems in [27], naturally extend to this setting. Given these bounds, we provide two applications. First, we use these results to obtain estimates on a strictly local approximation of these finite-volume, irreversible dynamics. Next, we show how these bounds can be used to estimate correlation decay in various states.
title On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
topic Mathematical Physics
url https://arxiv.org/abs/2404.17577