Research output per year
Research output per year
G. Eriksson, J. Bengtsson, E. Karabulut, G. M. Kavoulakis, S. M. Reimann
Research output: Contribution to journal › Article › peer-review
We study the temporal evolution of a small number N of ultra-cold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitary-wave solution of the corresponding mean-field problem, we identify significant differences in the time evolution of the density distribution of the atoms when it instead is evaluated with the many-body Schrödinger equation. Three characteristic timescales are derived: the first is the period of rotation of the wave around the ring, the second is associated with a 'decay' of the density variation, and the third is associated with periodic 'collapses' and 'revivals' of the density variations, with a factor of separating each of them. The last two timescales tend to infinity in the appropriate limit of large N, in agreement with the mean-field approximation. These findings are based on the assumption of the initial state being a mean-field state. We confirm this behavior by comparison to the exact solutions for a few-body system stirred by an external potential. We find that the exact solutions of the driven system exhibit similar dynamical features.
Original language | English |
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Article number | 035504 |
Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |
Volume | 51 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2018 Jan 16 |
Research output: Thesis › Doctoral Thesis (compilation)