Quantum Corrections to Dilute Bose Liquids

Details Quantum Corrections to Dilute Bose Liquids Quantum Corrections to Dilute Bose Liquids

2002-09-11

arxiv.org/abs/cond-mat/0209274v3

Phys.Rev. A68 (2003) 033606

Physics

Condensed Matter

Statistical Mechanics

final published version, typos corrected, updated references and added one reference

Scientific paper

10.1103/PhysRevA.68.033606

It was recently shown (A. Bulgac. Phys. Rev. Lett. {\bf 89}, 050402 (2002)) that an entirely new class of quantum liquids with widely tunable properties could be manufactured from bosons (boselets), fermions (fermilets) and their mixtures (ferbolets) by controlling their interaction properties by the means of a Feshbach resonance. We extend the previous mean--field analysis of these quantum liquids by computing the lowest order quantum corrections to the ground state energy and the depletion of the Bose--Einstein condensate and by estimating higher order corrections as well. We show that the quantum corrections are relatively small and controlled by the diluteness parameter $\sqrt{n|a|^3} \ll 1$, even though strictly speaking in this case there is no low density expansion.

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