Multicritical crossovers near the dilute Bose gas quantum critical point

TL;DR

This paper investigates multicritical crossovers near the dilute Bose gas quantum critical point, analyzing symmetry-breaking perturbations and deriving exact crossover functions in one dimension through integrable models.

Contribution

It provides new insights into symmetry-breaking effects at quantum critical points and derives exact finite-temperature crossover functions in one dimension.

Findings

Exact crossover functions for $d=1$, $N=2$ case obtained

Symmetry-breaking perturbations influence quantum critical behavior

Mapping to integrable models enables precise analysis

Abstract

Many zero temperature transitions, involving the deviation in the value of a $U(1)$ conserved charge from a quantized value, are described by the dilute Bose gas quantum critical point. On such transitions, we study the consequences of perturbations which break the symmetry down to $Z_N$ in $d$ spatial dimensions. For the case $d=1$, $N=2$, we obtain exact, finite temperature, multicritical crossover functions by a mapping to an integrable lattice model.