Critical Temperature of Interacting Bose Gases in Periodic Potentials

Abstract

The superfluid transition of a repulsive Bose gas in the presence of a sinusoidal potential which represents a simple-cubic optical lattice is investigate using quantum Monte Carlo simulations. At the average filling of one particle per well the critical temperature has a nonmonotonic dependence on the interaction strength, with an initial sharp increase and a rapid suppression at strong interactions in the vicinity of the Mott transition. In an optical lattice the positive shift of the transition is strongly enhanced compared to the homogenous gas. By varying the lattice filling we find a crossover from a regime where the optical lattice has the dominant effect to a regime where interactions dominate and the presence of the lattice potential becomes almost irrelevant.

arXiv comment4+epsilon pages, 5 figures and supplemental material: 1.5 pages

References in corpus (29)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Bose-Einstein condensation of atoms in a uniform potential
• Theory of the Weakly Interacting Bose Gas
• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations
• Critical behavior of the three-dimensional XY universality class
• Condensate fraction and critical temperature of a trapped interacting Bose gas
• The transition temperature of the dilute interacting Bose gas
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
• Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
• Cold neutrons trapped in external fields
• Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipole systems
• Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Critical temperature of interacting Bose gases in two and three dimensions
• Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length
• Bose-Einstein Condensation Temperature of a Homogeneous Weakly Interacting Bose Gas : PIMC study
• Dilute Bose gas with correlated disorder: A Path Integral Monte Carlo study
• Superfluid transition in a Bose gas with correlated disorder
• Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
• Condensed Fraction of an Atomic Bose Gas Induced by Critical Correlations
• Bosonic superfluid-insulator transition in continuous space
• Equation of state of an interacting Bose gas at finite temperature: a Path Integral Monte Carlo study
• Critical parameters from trap-size scaling in trapped particle systems
• Critical temperature of a Bose gas in an optical lattice

Cited by in corpus (7)

• One-dimensional Bose gas in optical lattices of arbitrary strength
• Bose-Einstein condensation temperature of weakly interacting atoms
• Minimizing nonadiabaticities in optical-lattice loading
• Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
• Large-$N$ properties of a non-ideal Bose gas
• $1/N$-expansion for the critical temperature of the Bose gas