# Condensation of a Hard-Core Bose Gas

Source: [Condensation of a Hard-Core Bose Gas](<https://www.sota2.com/research/paper/68fa24f32c2a3760193aaf52>)

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

Data updated: 2025-10-24T09:40:52.177Z

Authors: K. Ziegler

Published: 2000-01-07T16:35:10.000Z

## Abstract

A grand canonical system of hard-core bosons, subject to thermal fluctuations, is studied on a lattice. Starting from the slave-boson representation with fields for occupied and unoccupied sites, an effective field theory is derived in which a complex field corresponds with the order parameter of the condensate and a real field with the total density of bosons. Near the boundary between the normal and the superfluid phase we obtain the Ginzburg-Landau functional for the superfluid order parameter. A mean-field calculation shows that the critical temperature $T\_c$ increases with increasing density up to a maximum and decreases with further increasing density.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0001074>)

[PDF](<https://arxiv.org/pdf/cond-mat/0001074.pdf>)