Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-07-19
Physics
Condensed Matter
Quantum Gases
11 pages, 7 figures
Scientific paper
We discuss the equilibrium properties of dilute Bose gases using a non-perturbative formalism based on auxiliary fields related to the normal and anomalous densities. We show analytically that for a dilute Bose gas of weakly-interacting particles at zero temperature, the leading-order auxiliary field (LOAF) approximation leads to well-known analytical results. Close to the critical point the LOAF predictions are the same as those obtained using an effective field theory in the large-N approximation. We also report analytical approximations for the LOAF results in the unitarity limit, which compare favorably with our numerical results. LOAF predicts that the equation of state for the Bose gas in the unitarity limit is E / (p V) = 1, unlike the case of the Fermi gas when E / (p V) = 3/2.
Chien Chih-Chun
Cooper Fred
Dawson John F.
Mihaila Bogdan
Timmermans Eddy
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