Classical field techniques for condensates in one-dimensional rings at finite temperatures

TL;DR

This paper compares three classical field techniques—stochastic dynamics, microcanonical molecular dynamics, and the classical field method—for studying condensates in one-dimensional rings at finite temperatures, demonstrating their agreement with exact high-temperature results.

Contribution

It systematically evaluates and validates different classical field methods for finite-temperature condensates, establishing their effectiveness as non-perturbative tools.

Findings

All three methods reach steady states matching the exact high-temperature partition function.

The methods produce consistent distribution and correlation functions.

Classical field techniques are confirmed as powerful tools for finite-temperature systems.

Abstract

For a condensate in a one-dimensional ring geometry, we compare the thermodynamic properties of three conceptually different classical field techniques: stochastic dynamics, microcanonical molecular dynamics, and the classical field method. Starting from non-equilibrium initial conditions, all three methods approach steady states whose distribution and correlation functions are in excellent agreement with an exact evaluation of the partition function in the high-temperature limit. Our study helps to establish these various classical field techniques as powerful non-perturbative tools for systems at finite temperatures.