Zero-temperature phase transitions in dilute bosonic superfluids on a lattice

TL;DR

This paper investigates zero-temperature phase transitions in dilute bosonic superfluids on a lattice, focusing on how kinetic energy and various hopping terms influence phase behavior, condensate wavefunctions, and inhomogeneities.

Contribution

It maps the phase space of superfluid states considering specific hopping terms and introduces a new phase, analyzing the effects of additional repulsive interactions.

Findings

Identification of critical hopping parameters for phase transitions

Discovery of a new superfluid phase with altered wave vector

Effects of additional hopping terms on condensate inhomogeneities

Abstract

Kinetic energy driven phase transitions in Bose superfluids occur at low values of the repulsion when the values of the next-to-nearest and next-to-next-to-nearest hopping term attain certain critical values, resulting in alterations in the wave vector of the condensate. We map out the space of possible phases allowed by particular forms of the single-particle energy dispersion in the superfluid state, noting the appearance of a new phase, and examine in more detail the effects of additional repulsive terms on the form of the condensate wavefunction. We also examine the effect of these additional hopping terms on the formation of inhomogeneities in the condensate.