# Phase transitions of a Bose gas in an optical lattice

Source: [Phase transitions of a Bose gas in an optical lattice](<https://www.sota2.com/research/paper/68fa1e427a2b558e293213d3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:34:19.135Z

Authors: K. Ziegler

Published: 2003-03-27T20:42:40.000Z

## Abstract

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott insulator) and a symmetry-broken phase (Bose-Einstein condensate). An exact solution was found by introducing $N$ colors and taking the limit $N\\to\\infty$.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0303593>)

[PDF](<https://arxiv.org/pdf/cond-mat/0303593.pdf>)