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Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates

Hamamoto, N, Oi, M and Onishi, N (2007) Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates Physical Review A, 75 (6).


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A rotating bosonic many-body system in a harmonic trap is studied with the three-dimensional cranked Hartree-Fock-Bogoliubov method at zero temperature, which has been applied to nuclear many-body systems at high spin. This method is a variational method extended from Hartree-Fock theory, which can treat the pairing correlations in a self-consistent manner. An advantage of this method is that a finite-range interaction between constituent particles can be used in the calculation, unlike the original Gross-Pitaevskii approach. To demonstrate the validity of our method, we present a calculation for a toy model-that is, a rotating system of ten bosonic particles interacting through the repulsive quadrupole-quadrupole interaction in a harmonic trap. It is found that the yrast states, the lowest-energy states for the given total angular momentum, do not correspond to the Bose-Einstein condensate, except for a few special cases. One such case is a vortex state, which appears when the total angular momentum L is twice the particle number N (i.e., L=2N).

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Hamamoto, N
Oi, M
Onishi, N
Date : 1 January 2007
DOI : 10.1103/PhysRevA.75.063614
Additional Information : Published in <i>Physical Review A,</i> Vol. 75, Iss. 6. Copyright 2007 American Physical Society. Click <a href=>here</a> to access the journal's website.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:08
Last Modified : 31 Oct 2017 13:57

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