Quantum Corrections to Dilute Bose Liquids

Abstract

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.

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

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Cited by in corpus (7)

• Few-body physics in resonantly interacting ultracold quantum gases
• Scattering hypervolume for ultracold bosons from weak to strong interactions
• Three-body Physics in Strongly Correlated Spinor Condensates
• Three-Body Scattering Hypervolume of Particles with Unequal Masses
• Strongly interacting matter in extreme magnetic fields
• Quantum Liquid in Lower Dimensions: From the perspective of Surface Tension
• Bose-Einstein Condensate Dark Matter That Involves Composites