A self-consistent Hartree-Fock approach for interacting bosons in optical lattices

Abstract

A theoretical study of interacting bosons in a periodic optical lattice is presented. Instead of the commonly used tight-binding approach (applicable near the Mott insulating regime of the phase diagram), the present work starts from the exact single-particle states of bosons in a cubic optical lattice, satisfying the Mathieu equation, an approach that can be particularly useful at large boson fillings. The effects of short-range interactions are incorporated using a self-consistent Hartree-Fock approximation, and predictions for experimental observables such as the superfluid transition temperature, condensate fraction, and boson momentum distribution are presented.

arXiv comment12 pages, 15 figure files

References in corpus (17)

• 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
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Bose-Einstein condensation of atoms in a uniform potential
• Theory of the Weakly Interacting Bose Gas
• The Mott insulator transition in two dimensions
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• The transition temperature of the dilute interacting Bose gas
• Ultracold quantum gases in triangular optical lattices
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
• Phase diagram for a Bose-Einstein condensate moving in an optical lattice
• Superfluid to Mott insulator transition in one, two, and three dimensions
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Lattice Thermodynamics for Ultra-Cold Atoms
• Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope