Information and thermodynamic properties of a non-Hermitian particle ensemble

TL;DR

This paper explores how Shannon's entropy and thermodynamic properties of a non-Hermitian particle ensemble are affected by a magnetic field, revealing modifications due to the system's non-Hermitian nature and magnetic interactions.

Contribution

It introduces a study of Shannon's entropy and thermodynamics in a non-Hermitian quantum system under magnetic fields, highlighting novel modifications in these properties.

Findings

Shannon's entropy is altered by the magnetic field in non-Hermitian systems.

Thermodynamic properties show significant dependence on the magnetic field.

The study provides insights into non-Hermitian quantum thermodynamics.

Abstract

In the context of non-relativistic quantum mechanics, we investigated Shannon's entropy of a non-Hermitian system to understand how this quantity is modified with the cyclotron frequency. Subsequently, we turn our attention to the construction of an ensemble of these spinless particles in the presence of a uniform magnetic field. Then, we study the thermodynamic properties of the model. Finally, we show how Shannon's entropy and thermodynamic properties are modified with the action of the magnetic field.