Non-perturbative method to compute thermal correlations in one-dimensional systems: A brief overview
Quantum Gases
2020-04-20 v2 Statistical Mechanics
Abstract
We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. We start by noticing the equivalence of their description through the transfer matrix formalism and a Fokker-Planck equation for a distribution evolving in space. The corresponding stochastic differential (It\={o}) equation is very suitable for computer simulations, allowing the calculation of arbitrary correlation functions. As an illustration, we apply our method to the case of two tunnel-coupled quasicondensates of bosonic atoms.
Cite
@article{arxiv.1712.01190,
title = {Non-perturbative method to compute thermal correlations in one-dimensional systems: A brief overview},
author = {Stefan Beck and Igor E. Mazets and Thomas Schweigler},
journal= {arXiv preprint arXiv:1712.01190},
year = {2020}
}
Comments
For a more extensive discussion of the method and results see arXiv:1802.06610 or Phys. Rev. A 98, 023613 (2018)