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Spatial decay of Kubo’s canonical correlation functions

Yang, Bowen (2021) Spatial decay of Kubo’s canonical correlation functions. Letters in Mathematical Physics, 111 (4). Art. No. 97. ISSN 0377-9017. doi:10.1007/s11005-021-01441-x.

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Kubo’s canonical correlation functions (canonical correlators) describe the static response of a system in equilibrium to infinitesimal local perturbations. Knowing their decay properties with respect to spatial distance is important for many theoretical and experimental applications. For a thermal state of a system with short-range interactions, we prove that any knowledge of the decay rate of ordinary correlators readily translates into that of canonical correlators. As the former have been extensively studied, our result can lead to many new results on the latter. Throughout the paper, we use the framework of infinite-volume quantum lattice model. However, the method we use is adaptable for other physical scenarios not considered in this paper.

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Yang, Bowen0000-0003-4778-831X
Additional Information:© The Author(s), under exclusive licence to Springer Nature B.V. 2021. Received 07 March 2021; Revised 09 July 2021; Accepted 11 July 2021; Published 17 July 2021. I would like to express my gratitude toward Anton Kapustin for suggesting the problem and for his invaluable guidance and support. I also thank Nathaniel Sagman, Tamir Hemo and Alexandre Perozim de Faveri for discussions on decay rates.
Subject Keywords:KMS state; Quantum lattice model; Lieb–Robinson bounds; Approximate locality; Static linear response
Issue or Number:4
Classification Code:Mathematics Subject Classification: 82B10; 82B20
Record Number:CaltechAUTHORS:20210729-211951877
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110078
Deposited By: Tony Diaz
Deposited On:02 Aug 2021 18:38
Last Modified:02 Aug 2021 18:38

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