Finite-size effects in the dynamics of few bosons in a ring potential
(2018) In Journal of Physics B: Atomic, Molecular and Optical Physics 51(3).- Abstract
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... (More)
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.
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- author
- Eriksson, G. LU ; Bengtsson, J. LU ; Karabulut, E. LU ; Kavoulakis, G. M. LU and Reimann, S. M. LU
- organization
- publishing date
- 2018-01-16
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- exact diagonalization, few-body systems, quantum rings, time evolution
- in
- Journal of Physics B: Atomic, Molecular and Optical Physics
- volume
- 51
- issue
- 3
- article number
- 035504
- publisher
- IOP Publishing
- external identifiers
-
- scopus:85040718989
- ISSN
- 0953-4075
- DOI
- 10.1088/1361-6455/aaa05c
- language
- English
- LU publication?
- yes
- id
- 53a78e6a-d432-4787-912a-563af0a9fa91
- date added to LUP
- 2018-01-30 11:56:15
- date last changed
- 2023-09-21 20:55:25
@article{53a78e6a-d432-4787-912a-563af0a9fa91, abstract = {{<p>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.</p>}}, author = {{Eriksson, G. and Bengtsson, J. and Karabulut, E. and Kavoulakis, G. M. and Reimann, S. M.}}, issn = {{0953-4075}}, keywords = {{exact diagonalization; few-body systems; quantum rings; time evolution}}, language = {{eng}}, month = {{01}}, number = {{3}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics B: Atomic, Molecular and Optical Physics}}, title = {{Finite-size effects in the dynamics of few bosons in a ring potential}}, url = {{http://dx.doi.org/10.1088/1361-6455/aaa05c}}, doi = {{10.1088/1361-6455/aaa05c}}, volume = {{51}}, year = {{2018}}, }