Oscillation bands of BoseEinstein condensates on a ring: Beyond the meanfield theory
Abstract
The Hamiltonian of an N boson system confined on a ring with zero spin and repulsive interaction is diagonalized. The excitation of a pair of p wave particles rotating reversely appears to be a basic mode. The fluctuation of many of these excited pairs provides a mechanism of oscillation; the states can be thereby classified as oscillation bands. The particle correlation is studied intuitively via the twobody densities. Bose clustering originating from the symmetrization of wave functions is found, which leads to the appearance of one, two, and threecluster structures. The motion is divided into being collective and relative; this leads to the establishment of a relation between the very high vortex states and the lowlying states.
 Publication:

Physical Review A
 Pub Date:
 June 2007
 DOI:
 10.1103/PhysRevA.75.063626
 arXiv:
 arXiv:0704.0842
 Bibcode:
 2007PhRvA..75f3626B
 Keywords:

 03.75.b;
 Matter waves;
 Condensed Matter  Other Condensed Matter
 EPrint:
 7 pages, 8 figures