Finitesize 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 ultracold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitarywave solution of the corresponding meanfield problem, we identify significant differences in the time evolution of the density distribution of the atoms when it instead is evaluated with the manybody 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 ultracold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitarywave solution of the corresponding meanfield problem, we identify significant differences in the time evolution of the density distribution of the atoms when it instead is evaluated with the manybody 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 meanfield approximation. These findings are based on the assumption of the initial state being a meanfield state. We confirm this behavior by comparison to the exact solutions for a fewbody 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
 20180116
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 exact diagonalization, fewbody systems, quantum rings, time evolution
 in
 Journal of Physics B: Atomic, Molecular and Optical Physics
 volume
 51
 issue
 3
 publisher
 IOP Publishing
 external identifiers

 scopus:85040718989
 ISSN
 09534075
 DOI
 10.1088/13616455/aaa05c
 language
 English
 LU publication?
 yes
 id
 53a78e6ad4324787912a563af0a9fa91
 date added to LUP
 20180130 11:56:15
 date last changed
 20190220 11:06:11
@article{53a78e6ad4324787912a563af0a9fa91, abstract = {<p>We study the temporal evolution of a small number N of ultracold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitarywave solution of the corresponding meanfield problem, we identify significant differences in the time evolution of the density distribution of the atoms when it instead is evaluated with the manybody 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 meanfield approximation. These findings are based on the assumption of the initial state being a meanfield state. We confirm this behavior by comparison to the exact solutions for a fewbody system stirred by an external potential. We find that the exact solutions of the driven system exhibit similar dynamical features.</p>}, articleno = {035504}, author = {Eriksson, G. and Bengtsson, J. and Karabulut, E. and Kavoulakis, G. M. and Reimann, S. M.}, issn = {09534075}, keyword = {exact diagonalization,fewbody 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 = {Finitesize effects in the dynamics of few bosons in a ring potential}, url = {http://dx.doi.org/10.1088/13616455/aaa05c}, volume = {51}, year = {2018}, }