Time correlation functions and Fisher zeros for q-deformed Bose gas

TL;DR

This paper investigates the relationship between time-dependent correlation functions and Fisher zeros in a q-deformed Bose gas, revealing how q-deformation introduces complex temperature and affects system zeros.

Contribution

It establishes a connection between correlation function zeros and Fisher zeros in q-deformed Bose gases, including analysis of a two-level system.

Findings

Zeros of correlation functions relate to Fisher zeros of the partition function.

q-deformation introduces complex temperature into the system.

Analysis of a two-level q-deformed Bose system demonstrates these relationships.

Abstract

The time-dependent correlation functions of q-deformed Bose gas are studied. We find relation of zeros of the correlation functions with the Fisher zeros of partition function of the system. Complex temperature appears as a result of q-deformation and evolution of correlation function. A particular case of q-deformed Bose particles on two levels is examined and zeros of correlation functions and Fisher zeros of partition function are analyzed.