Clustering of quantum correlations at low temperature

• URL: http://arxiv.org/abs/2508.15907v1
• Date: Thu, 21 Aug 2025 18:10:13 GMT
• Title: Clustering of quantum correlations at low temperature
• Authors: Arka Adhikari, Joscha Henheik, Marius Lemm, Tom Wessel,
• Abstract summary: Identifying conditions for clustering of correlations in thermal states is a central problem in quantum many-body physics.<n>We present a direct proof that the thermal state satisfies exponential decay of correlations at low temperature, with a correlation length that stays uniformly bounded as $Tto0$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Identifying conditions for the clustering of correlations in thermal states is a central problem in quantum many-body physics. In the low temperature regime, the problem is subtle, because it is intimately connected to phase transitions. Here we investigate quantum lattice Hamiltonians that are sums of on-site terms and relatively bounded perturbations. We present a direct proof that the thermal state satisfies exponential decay of correlations at low temperature, with a correlation length that stays uniformly bounded as $T\to0$. The proof develops a quantum many-body adaptation of a probabilistic swapping trick of the first author and Cao (Ann. Probab. 53, 2025) for lattice gauge theories.

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