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Physical Review A

Collapse and revival of excitations in Bose-Einstein condensates (8 pages)

Mikko Möttönen, Suvi Mirjami Virtanen

Published Jan 1, 2005• 0 citations
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We study the energies and decay of elementary excitations in weakly interacting Bose-Einstein condensates within a finite-temperature gapless second-order theory. The energy shifts for the high-lying collective modes turn out to be systematically negative compared with the Hartree-Fock-Bogoliubov-Popov approximation and the decay of the low-lying modes is found to exhibit collapse and revival effects. In addition, perturbation theory is used to qualitatively explain the experimentally observed Beliaev decay process of the scissors mode.
An approximate analytic solution is present for a system of two Bose-Einstein condensates (BECs) with a Josephson-like coupling. By the use of this approximate solution, it is shown that the existence of quantum collapses and revivals (QCRs) in the interferencing intensity of two BECs. It is found that QCRs are seriously affected not only by interatomic collisions and the atomic tunneling between two BECs but also by initial states of the two BECs, so that one can manipulate QCRs through changing scattering lengths of atoms, atomic tunneling and initial states of BECs.