Work

Boson-Gutzwiller quantum liquids on a lattice

Year: 2025

Type: article

Abstract: We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive onsite two-body interactions, we include a three-body repulsive term such that the competition between these two forces allows the formation of self-bound liquid states. We investigate the properties of this system using the Gutzwiller approximation, showing that, indeed, this mean-field approach also supports liquid states. We find that for densities lower than the equilibrium density, the Gutzwiller method and other mean-field approaches—such as the Gross-Pitaevskii theory—feature a sharp transition to the vacuum state. This, however, is avoided by considering local minima of the functional in the standard manner. We also study the excitation spectrum, and calculate the speed of sound, in full agreement with the usual expression obtained from the thermodynamic equation of state. We study their corresponding quantum droplets variationally and find that the results behave in accordance with the one-dimensional liquid-drop model.

Source: Physical Review Research

DOI: 10.1103/lvqx-g5l2

Authors: Daniel Pérez-Cruz, Manuel Valiente

Institutions: Universidad de La Laguna, Universidad de Murcia

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: European Regional Development Fund, Agencia Estatal de Investigación