TY - JOUR
T1 - Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates
AU - Kevrekidis, P. G.
AU - Wang, Wenlong
AU - Carretero-González, R.
AU - Frantzeskakis, D. J.
AU - Xie, Shuangquan
N1 - Funding Information:
We thank A. Esposito, R. Krichevsky, and A. Nicolis for bringing up their related work on vortex precession in trapped superfluids from effective-field theory [39] and for subsequent stimulating discussions. W.W. acknowledges support from Grant No. NSF-DMR-1151387. P.G.K. gratefully acknowledges the support of Grants No. NSF-DMS-1312856 and No. NSF-PHY-1602994, as well as from the ERC under FP7, Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-605096) and the Greek Diaspora Fellowship Program. P.G.K. also acknowledges useful discussions with Prof. T. Kolokolnikov. R.C.-G. acknowledges support from Grants No. NSF-DMS-1309035 and No. PHY-1603058. The work of W.W. is supported in part by the Office of the Director of National Intelligence (ODNI), Intelligence Advanced Research Projects Activity (IARPA), via MIT Lincoln Laboratory Air Force Contract No. FA8721-05-C-0002. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of ODNI, IARPA, or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purpose notwithstanding any copyright annotation thereon. We thank Texas A&M University for access to their Ada and Curie clusters.
PY - 2017/10/13
Y1 - 2017/10/13
N2 - We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency ω on the chemical potential μ, this is no longer true for a general potential V(r)rp. Our calculations suggest that for p>2, the precession frequency scales with μ as ω∼μ-2/p. This theoretical prediction is corroborated by numerical computations, not only at the level of spectral (Bogolyubov-de Gennes) stability analysis by identifying the relevant precession mode dependence on μ but also through direct numerical computations of the vortex evolution in the large-μ, so-called Thomas-Fermi, limit. Additionally, the dependence of the precession frequency on the distance to the trap center of an initially displaced vortex is examined, and the corresponding predictions are tested against numerical results.
AB - We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency ω on the chemical potential μ, this is no longer true for a general potential V(r)rp. Our calculations suggest that for p>2, the precession frequency scales with μ as ω∼μ-2/p. This theoretical prediction is corroborated by numerical computations, not only at the level of spectral (Bogolyubov-de Gennes) stability analysis by identifying the relevant precession mode dependence on μ but also through direct numerical computations of the vortex evolution in the large-μ, so-called Thomas-Fermi, limit. Additionally, the dependence of the precession frequency on the distance to the trap center of an initially displaced vortex is examined, and the corresponding predictions are tested against numerical results.
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U2 - 10.1103/PhysRevA.96.043612
DO - 10.1103/PhysRevA.96.043612
M3 - Article
AN - SCOPUS:85031737777
VL - 96
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 4
M1 - 043612
ER -