Two-dimensional weakly interacting Bose gas: equation of state

Details Two-dimensional weakly interacting Bose gas: equation of state Two-dimensional weakly interacting Bose gas: equation of state

2008-12-19

arxiv.org/abs/0812.3844v2

Phys. Rev. A 79, 051602(R) (2009)

Physics

Quantum Physics

New data points added at smaller densities. Correspondingly Table I, Figs. 1 and 2 are updated. Results by L. Pricoupenko (Ref

Scientific paper

The equation of state of a weakly interacting two-dimensional Bose gas is studied at zero temperature by means of quantum Monte Carlo methods. Going down to as low densities as na^2 ~ 10^{-100} permits us for the first time to obtain agreement on beyond mean-field level between predictions of perturbative methods and direct many-body numerical simulation, thus providing an answer to the fundamental question of the equation of state of a two-dimensional dilute Bose gas in the universal regime (i.e. entirely described by the gas parameter na^2). We also show that the measure of the frequency of a breathing collective oscillation in a trap at very low densities can be used to test the universal equation of state of a two-dimensional Bose gas.

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