Thermodynamic Limit in Chern-Simons System of Particles with MB Statistics

TL;DR

This paper investigates the behavior of reduced density matrices in a Chern-Simons particle system with Maxwell-Boltzmann statistics, showing they are well-behaved after renormalization under neutrality in the thermodynamic limit.

Contribution

It provides a detailed analysis of the thermodynamic limit of RDMs in Chern-Simons systems with MB statistics, establishing conditions for their well-behaved nature.

Findings

RDMs are zero outside the diagonal

RDMs are well-behaved after renormalization

Behavior depends on an arbitrary real parameter under neutrality

Abstract

The reduced density matrices (RDMs) are calculated in the thermodynamic limit for the Chern-Simons non-relativistic particle system and Maxwell-Boltzmann (MB) statistics. It is established that they are zero outside of a diagonal and well-behaved after a renormalization, depending on an arbitrary real number, if the condition of neutrality holds.