Bose statistics and classical fields

TL;DR

This paper explores how classical field models can replicate Bose gas statistics in traps, identifying an optimal cut-off that aligns classical and quantum distributions, with universal scaling laws derived.

Contribution

It introduces an optimal cut-off for classical fields to match Bose gas statistics and derives universal scaling laws based on temperature and dimensionality.

Findings

Optimal cut-off matches quantum distribution in classical fields.

Universal scaling laws for the cut-off with temperature and dimensionality.

Classical fields can effectively replicate Bose gas statistics with proper cut-off.

Abstract

Classical fields counterpart of the ideal Bose gas statistics in a trap is investigated by performing calculations in the canonical ensemble. There exists the optimal cut-off which allows to match the full probability distribution of the condensate population by its classical counterpart. Universal scaling of that cut-off with temperature and dimensionality is derived.