Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices

Abstract

We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems with strong on site repulsive interactions, the rotor U(1) phase variable dual to the local boson density emerges as an important collective field. After establishing the connection between the rotor construction and the the on--site interaction in the BH model the robust effective action formalism is developed which allows us to study the superfluid phase transition in various temperature--interaction regimes.

References in corpus (14)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Boson Mott insulators at finite temperatures
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Bose-Hubbard phase diagram with arbitrary integer filling
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Quantum rotor description of the Mott-insulator transition in the Bose-Hubbard model
• Quantum critical point and scaling in a layered array of ultrasmall Josephson junctions
• Effects of finite temperature on the Mott insulator state
• Occupation number and fluctuations in the finite-temperature Bose-Hubbard model
• Phase diagram of ultracold atoms on optical lattice: Comparative study to slave fermion and slave boson for Bose Hubbard modelPhase diagram of ultracold atoms in optical lattices: Comparative study of slave fermion and slave boson approaches to Bose-Hubbard model

Cited by in corpus (14)

• Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
• Finite temperature study of bosons in a two dimensional optical lattice
• Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
• Atom-atom correlations in time-of-flight imaging of ultra-cold bosons in optical lattices
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
• The large coordination number expansion of a lattice Bose gas at finite temperature
• Scaling property of the critical hopping parameters for the Bose-Hubbard model
• Temperature-dependent excitation spectra of ultra-cold bosons in optical lattices
• Thermodynamics of the Bose-Hubbard model in a Bogoliubov+U theory
• Finite temperature superfluid transition of strongly-correlated lattice bosons in various geometries
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• Effects of finite temperature on the robustness of the Mott insulator phase in pseudo one-dimensional Bose-Hubbard Model
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background