2010/02/25 by Saeed Ghanbari, Ghanbari, Saeed, J. F. Corney +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum chaos and dynamical systems #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1002.4735
openalex publication_date 2010/02/25 · openalex created_date 2022/09/16 · openalex updated_date 2026/07/28
We study ultracold Bose gases in periodic potentials as described by the\nBose-Hubbard model. In 1D and at finite temperature, we simulate ultracold Bose\ngases in imaginary time with the gauge P representation. We study various\nquantities including the Luttinger parameter K, which is important for\nlocating the boundaries of the Mott insulator lobes, and find a simple relation\nfor the kinetic energy part of the Bose-Hubbard Hamiltonian.\n We show that for J=0, the stepwise pattern of the average number of particles\nper lattice site versus the chemical potential vanishes at temperatures above\nT \≈ 0.1 U. Also, at chemical potential \μ=0.5 U and temperature\nT=0.5 U by increasing J, the relative value of the number fluctuation\ndecreases and approaches that of a coherent state.\n