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Title: Matter-wave solitons in heteronuclear atomic Bose-Einstein condensates with synchronously controllable interactions and potentials

Abstract

We investigate exact matter-wave soliton pairs of two-component heteronuclear atomic Bose-Einstein condensates with tunable interactions and harmonic potentials by using a combination of the homogeneous balance principle and the F-expansion technique. Our results show that exact matter-wave soliton pairs are asymmetric where their existence requires some restrictive conditions corresponding to experimentally controllable interactions and harmonic potential parameters. In contrast to homonuclear systems, the potentials for two components in heteronuclear systems are different, which is due to the mass of two components being unequal. Considering two explicit situations of the interaction parameters, we further explore the collision dynamics of the soliton pairs with opposite velocities by synchronously controlling the interaction and potential parameters. The collision dynamics occur during and after the simultaneous evaporative cooling of two condensates. The results show that collisions are elastic and that the solitons after the collision can keep their identities. In addition, we find that the amplitudes of the soliton pairs periodically grow with time during the cooling process and, for the same initial conditions, the collision time of the soliton pair without gain is delayed compared with that with gain. We also discuss how to observe these new phenomena in future experiments.

Authors:
 [1]; ;  [2];  [1];  [1]
  1. Center for Interdisciplinary Studies and Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou 730000 (China)
  2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, CAS, Beijing 100190 (China)
Publication Date:
OSTI Identifier:
22095432
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 5; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; AMPLITUDES; ASYMMETRY; ATOMS; BOSE-EINSTEIN CONDENSATION; COLLISIONS; EVAPORATIVE COOLING; GAIN; HARMONIC POTENTIAL; MASS; PERIODICITY; SOLITONS; VELOCITY

Citation Formats

Ding, Cai-Ying, Zhang, Xiao-Fei, Liu, W. M., Zhao, Dun, School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Luo, Hong-Gang, and Beijing Computational Science Research Center, Beijing 100084. Matter-wave solitons in heteronuclear atomic Bose-Einstein condensates with synchronously controllable interactions and potentials. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.053631.
Ding, Cai-Ying, Zhang, Xiao-Fei, Liu, W. M., Zhao, Dun, School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Luo, Hong-Gang, & Beijing Computational Science Research Center, Beijing 100084. Matter-wave solitons in heteronuclear atomic Bose-Einstein condensates with synchronously controllable interactions and potentials. United States. https://doi.org/10.1103/PHYSREVA.84.053631
Ding, Cai-Ying, Zhang, Xiao-Fei, Liu, W. M., Zhao, Dun, School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Luo, Hong-Gang, and Beijing Computational Science Research Center, Beijing 100084. 2011. "Matter-wave solitons in heteronuclear atomic Bose-Einstein condensates with synchronously controllable interactions and potentials". United States. https://doi.org/10.1103/PHYSREVA.84.053631.
@article{osti_22095432,
title = {Matter-wave solitons in heteronuclear atomic Bose-Einstein condensates with synchronously controllable interactions and potentials},
author = {Ding, Cai-Ying and Zhang, Xiao-Fei and Liu, W. M. and Zhao, Dun and School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000 and Luo, Hong-Gang and Beijing Computational Science Research Center, Beijing 100084},
abstractNote = {We investigate exact matter-wave soliton pairs of two-component heteronuclear atomic Bose-Einstein condensates with tunable interactions and harmonic potentials by using a combination of the homogeneous balance principle and the F-expansion technique. Our results show that exact matter-wave soliton pairs are asymmetric where their existence requires some restrictive conditions corresponding to experimentally controllable interactions and harmonic potential parameters. In contrast to homonuclear systems, the potentials for two components in heteronuclear systems are different, which is due to the mass of two components being unequal. Considering two explicit situations of the interaction parameters, we further explore the collision dynamics of the soliton pairs with opposite velocities by synchronously controlling the interaction and potential parameters. The collision dynamics occur during and after the simultaneous evaporative cooling of two condensates. The results show that collisions are elastic and that the solitons after the collision can keep their identities. In addition, we find that the amplitudes of the soliton pairs periodically grow with time during the cooling process and, for the same initial conditions, the collision time of the soliton pair without gain is delayed compared with that with gain. We also discuss how to observe these new phenomena in future experiments.},
doi = {10.1103/PHYSREVA.84.053631},
url = {https://www.osti.gov/biblio/22095432}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 84,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2011},
month = {Tue Nov 15 00:00:00 EST 2011}
}