Repository: Freie Universit├Ąt Berlin, Math Department

Scaling law for the size dependence of a finite-range quantum gas

Delle Site, Luigi and Hartmann, Carsten (2024) Scaling law for the size dependence of a finite-range quantum gas. Physical Review A, 109 (2).

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Official URL: https://doi.org/10.1103/PhysRevA.109.022209

Abstract

In a recent work [Reible et al., Phys. Rev. Res. 5, 023156 (2023)], it was shown that the mean particle-particle interaction across an ideal surface that divides a system into two parts can be employed to estimate the size dependence for the thermodynamic accuracy of the system. In this work we propose its application to systems with finite-range interactions that model dense quantum gases and derive an approximate size-dependence scaling law. In addition, we show that the application of the criterion is equivalent to the determination of a free-energy response to a perturbation. The latter result confirms the complementarity of the criterion to other estimates of finite-size effects based on direct simulations and empirical structure or energy convergence criteria.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3089
Deposited By: Lukas-Maximilian Jaeger
Deposited On:19 Feb 2024 08:43
Last Modified:19 Feb 2024 08:43

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