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arXiv · 0705.0196

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

Nobukuni Hamamoto·Makito Oi·Naoki Onishi
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Abstract

A rotating bosonic many-body system in a harmonic trap is studied with the 3D-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 the 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, does not correspond to the Bose-Einstein condensate, except a few special cases. One of such cases is a vortex state, which appears when the total angular momentum $L$ is twice the particle number $N$ (i.e., $L=2N$).

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Nobukuni Hamamoto, Makito Oi, Naoki Onishi. 2007-05-02. Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates. https://doi.org/10.1103/physreva.75.063614

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