Non-perturbative method to compute thermal correlations in one-dimensional systems: A brief overview

Stefan Beck; Igor E. Mazets; Thomas Schweigler

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arXiv · 1712.01190

Non-perturbative method to compute thermal correlations in one-dimensional systems: A brief overview

Stefan Beck·Igor E. Mazets·Thomas Schweigler

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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.

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BibTeX RIS

Stefan Beck, Igor E. Mazets, Thomas Schweigler. 2017-12-04. Non-perturbative method to compute thermal correlations in one-dimensional systems: A brief overview. https://arxiv.org/abs/1712.01190

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