Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature

TL;DR

This paper investigates how trapped bosonic particles in a two-dimensional Bose-Hubbard model behave at finite temperatures, focusing on scaling properties, particle density, and correlations near phase transitions.

Contribution

It provides a detailed analysis of the trap-size scaling behavior and compares numerical results with Local Density Approximation predictions for the first time.

Findings

Particle density and correlator scaling at Mott transitions and superfluid phase

Numerical results agree with Local Density Approximation in certain regimes

Insights into finite-temperature effects on trapped bosonic systems

Abstract

In the framework of the trap-size scaling theory, we study the scaling properties of the Bose-Hubbard model in two dimensions in the presence of a trapping potential at finite temperature. In particular, we provide results for the particle density and the density-density correlator at the Mott transitions and within the superfluid phase. For the former quantity, numerical outcomes are also extensively compared to Local Density Approximation predictions.