Finite temperature superfluid transition of strongly-correlated lattice bosons in various geometries

TL;DR

This paper investigates the finite-temperature superfluid transition of strongly-correlated lattice bosons across various three-dimensional lattice geometries using combined theoretical approaches, providing phase diagrams and critical point benchmarks.

Contribution

It introduces a combined Bogoliubov and quantum rotor method to analyze the Bose-Hubbard model on multiple lattice geometries, offering detailed phase boundary calculations.

Findings

Quantitative phase boundaries for superfluid transition identified.

Phase diagrams provided for simple cubic, body-centered, and face-centered lattices.

Results serve as benchmarks for experimental emulation of the Bose-Hubbard model.

Abstract

We study finite-temperature properties of the strongly interacting bosons in three-dimensional lattices by employing the combined Bogoliubov method and the quantum rotor approach. Based on the mapping of the Bose-Hubbard Hamiltonian of strongly interacting bosons onto U(1) phase action, we study their thermodynamic phase diagrams for several lattice geometries including; simple cubic, body- as well as face-centered lattices. The quantitative values for the phase boundaries obtained here may be used as a reference for emulation of the Bose-Hubbard model on a variety of optical lattice structures in order to demonstrate experimental-theoretical consistency for the numerical values regarding the location of the critical points.