Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles

TL;DR

This paper explores how temperature and trapping potentials influence quantum critical behavior in one-dimensional bosonic lattice systems, providing numerical insights into density and correlation functions near phase transitions.

Contribution

It introduces a trap-size scaling framework for analyzing temperature effects in one-dimensional Bose-Hubbard models at quantum critical points.

Findings

Density and correlation functions exhibit specific scaling behaviors near Mott-insulator and superfluid transitions.

Numerical results confirm the applicability of trap-size scaling theory at low temperatures.

The interplay between temperature and trap effects significantly impacts quantum critical phenomena.

Abstract

We investigate the interplay of temperature and trap effects in cold particle systems at their quantum critical regime, such as cold bosonic atoms in optical lattices at the transitions between Mott-insulator and superfluid phases. The theoretical framework is provided by the one-dimensional Bose-Hubbard model in the presence of an external trapping potential, and the trap-size scaling theory describing the large trap-size behavior at a quantum critical point. We present numerical results for the low-temperature behavior of the particle density and the density-density correlation function at the Mott transitions, and within the gapless superfluid phase.