Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas

TL;DR

This paper explores the relationship between two-time correlation functions and Lee-Yang zeros in an interacting Bose gas, proposing a method to experimentally observe Lee-Yang zeros through correlation measurements.

Contribution

It establishes a direct relation between zeros of correlation functions and Lee-Yang zeros, enabling experimental detection of phase transition signatures in Bose systems.

Findings

Relation between correlation function zeros and Lee-Yang zeros derived

Analysis of two-level Bose system illustrating the connection

Potential experimental approach for observing Lee-Yang zeros

Abstract

Two-time correlation functions of a system of Bose particles are studied. We find relation of zeros of the correlation functions with the Lee-Yang zeros of partition function of the system. Obtained relation gives the possibility to observe the Lee-Yang zeros experimentally. A particular case of Bose particles on two levels is examined and zeros of two-time correlation functions and Lee-Yang zeros of partition function of the system are analyzed.