University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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). ISSN 1050-2947

[img]
Preview
PDF
fulltext.pdf

Download (256kB)

Abstract

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
Additional Information: Published in <i>Physical Review A,</i> Vol. 75, Iss. 6. Copyright 2007 American Physical Society. Click <a href=http://pra.aps.org/>here</a> to access the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:08
Last Modified: 23 Sep 2013 18:27
URI: http://epubs.surrey.ac.uk/id/eprint/356

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800