Statistical measure of complexity and correlated behavior of Fermi systems

TL;DR

This paper explores the application of the LMC statistical complexity measure to uniform Fermi systems, examining its relation to correlations, experimental quantities, and thermal effects, revealing that complexity mirrors specific heat behavior.

Contribution

It introduces the use of LMC complexity as an index for correlations in Fermi systems and analyzes thermal effects on complexity.

Findings

Complexity correlates with strongly correlated behavior.

Complexity behaves similarly to specific heat at various temperatures.

LMC complexity can potentially quantify correlations in Fermi systems.

Abstract

We apply the statistical measure of complexity, introduced by L\'{o}pez-Ruiz, Mancini and Calbet (LMC), to uniform Fermi systems. We investigate the connection between information and complexity measures with the strongly correlated behavior of various Fermi systems as nuclear matter, electron gas and liquid helium. We examine the possibility that LMC complexity can serve as an index quantifying correlations in the specific system and to which extent could be related with experimental quantities. Moreover, we concentrate on thermal effects on the complexity of ideal Fermi systems. We find that complexity behaves, both at low and high values of temperature, in a similar way as the specific heat.