Repository: Freie Universit├Ąt Berlin, Math Department

Two-sided Bogoliubov inequality for quantum systems.

Reible, Benedikt and Hartmann, Carsten and Delle Site, Luigi (2021) Two-sided Bogoliubov inequality for quantum systems. arXiv . pp. 1-15.

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Official URL: https://arxiv.org/pdf/2111.10282.pdf

Abstract

Abstract: We generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J. Stat. Mech. Th. Exp. 083201 (2017)] to systems of quantum particles. As in the classical set-up, the inequality leads to upper and lower bounds for the free energy difference associated with the partitioning of a large system into smaller, independent subsystems. From a thermodynamic modelling point of view, the free energy difference determines the finite size correction needed to consistently treat a small system as a representation of a large system. Applications of the bounds to quantify finite size effects are ubiquitous in physics, chemistry, material science, or biology, to name just a few; in particular it is relevant for molecular dynamics simulations in which a small portion of a system is usually taken as representative of the idealized large system.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2797
Deposited By: Monika Drueck
Deposited On:14 Mar 2022 14:13
Last Modified:18 Mar 2022 10:44

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