Non-perturbative method to compute thermal correlations in one-dimensional systems
arXiv:1802.06610 · doi:10.1103/PhysRevA.98.023613
Abstract
We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. The method is suitable for arbitrary local interactions as long as the system remains dynamically stable. We start by proving the equivalence of describing the systems through the transfer matrix formalism and a Fokker-Planck equation for a distribution evolving in space. The Fokker-Planck equation is known to be equivalent to a stochastic differential (Itō) equation. The latter is very suitable for computer simulations, allowing the calculation of any desired correlation function. As an illustration, we apply our method to the case of two tunnel-coupled quasi-condensates of bosonic atoms. The results are compared to the predictions of the sine-Gordon model for which we develop analytic expressions directly from the transfer matrix formalism.
arXiv commentVersion that was accepted by Phys. Rev. A. arXiv admin note: substantial text overlap with arXiv:1712.01190
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Cited by in corpus (12)
- Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Extracting the field theory description of a quantum many-body system from experimental data
- Decay and recurrence of non-Gaussian correlations in a quantum many-body system
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