Quantum critical dynamics of the two-dimensional Bose gas

Details Quantum critical dynamics of the two-dimensional Bose gas Quantum critical dynamics of the two-dimensional Bose gas

2005-10-13

arxiv.org/abs/cond-mat/0510365v1

Physical Review B 73, 085116 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 10 figures

Scientific paper

10.1103/PhysRevB.73.085116

The dilute, two-dimensional Bose gas exhibits a novel regime of relaxational dynamics in the regime k_B T > |\mu| where T is the absolute temperature and \mu is the chemical potential. This may also be interpreted as the quantum criticality of the zero density quantum critical point at \mu=0. We present a theory for this dynamics, to leading order in 1/\ln (\Lambda/ (k_B T)), where \Lambda is a high energy cutoff. Although pairwise interactions between the bosons are weak at low energy scales, the collective dynamics are strongly coupled even when \ln (\Lambda/T) is large. We argue that the strong-coupling effects can be isolated in an effective classical model, which is then solved numerically. Applications to experiments on the gap-closing transition of spin gap antiferromagnets in an applied field are presented.

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