Stochastic Simulation of a finite-temperature one-dimensional Bose-Gas: from Bogoliubov to Tonks-Girardeau regime
arXiv:cond-mat/0411332 · doi:10.1103/PhysRevA.71.041601
Abstract
We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian, whose imaginary time evolution is made computationally accessible by stochastic factorization of the kinetic energy. To achieve convergence for low enough temperatures such that quantum fluctuations are essential, the stochastic factorization is generalized to blocks, and ideas from density-matrix renormalization are employed. We compare our numerical results for density and first-order correlations with analytic predictions.
arXiv comment5 pages, 3 figures;text added;accepted in Physical Review A
References in corpus (13)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Regimes of quantum degeneracy in trapped 1D gases
- Bosonizing one-dimensional cold atomic gases
- Stability and phase coherence of trapped 1D Bose gases
- Pair correlations in a finite-temperature 1D Bose gas
- Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
- Canonical Bose gas simulations with stochastic gauges
- Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid?
- Dynamic correlation functions in one-dimensional quasi-condensates
- Condensate statistics in interacting Bose gases: exact results
- Occupation number and fluctuations in the finite-temperature Bose-Hubbard model
- An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz
- Thermal Properties of Interacting Bose Fields and Imaginary-Time Stochastic Differential Equations
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- Discretized vs. continuous models of p-wave interacting fermions in 1D
- Quantum phase transition of Bose-Einstein condensates on a ring nonlinear lattice
- Dissipation-induced correlations in 1D bosonic systems
- Phase-space stochastic quantum hydrodynamics for interacting Bose gases