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Collapses and revivals of matter waves
Hagar Veksler , Shmuel Fishman
Technion
Quantum collapses and revivals are fascinating manifestations of coherence. Of particular interest in recent years are macroscopic quantum interference effects in Bose-Einstein condensates. We studied such effects for the two site Bose-Hubbard model, and found an analytic expression for the difference in the occupation of the two sites. The result is valid for large number of particles and weak inter-particle interactions. This expression predicts the time scales of the dynamics and enables one to evaluate the shape of the revival peaks in absence of dissipation.
[1] Hagar Veksler and Shmuel Fishman, arXiv:1408.6492
[2]Hagar Veksler and Shmuel Fishman, arXiv:1409.5115