Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers

We consider possibilities to grasp and drag one-dimensional solitons in two-component Bose–Einstein condensates (BECs), under the action of gravity, by tweezers induced by spatially confined spin–orbit (SO) coupling applied to the BEC, with the help of focused laser illumination. Solitons of two typ...

Full description

Bibliographic Details
Main Authors: Bin Liu, Rongxuan Zhong, Zhaopin Chen, Xizhou Qin, Honghua Zhong, Yongyao Li, Boris A Malomed
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ab7cb1
_version_ 1827872908262768640
author Bin Liu
Rongxuan Zhong
Zhaopin Chen
Xizhou Qin
Honghua Zhong
Yongyao Li
Boris A Malomed
author_facet Bin Liu
Rongxuan Zhong
Zhaopin Chen
Xizhou Qin
Honghua Zhong
Yongyao Li
Boris A Malomed
author_sort Bin Liu
collection DOAJ
description We consider possibilities to grasp and drag one-dimensional solitons in two-component Bose–Einstein condensates (BECs), under the action of gravity, by tweezers induced by spatially confined spin–orbit (SO) coupling applied to the BEC, with the help of focused laser illumination. Solitons of two types are considered, semi-dipoles and mixed modes. We find critical values of the gravity force, up to which the solitons may be held or transferred by the tweezers. The dependence of the critical force on the magnitude and spatial extension of the localized SO interaction, as well as on the soliton’s norm and speed (in the transfer regime), are systematically studied by means of numerical methods, and analytically with the help of a quasi-particle approximation for the soliton. In particular, a noteworthy finding is that the critical gravity force increases with the increase of the transfer speed (i.e., moving solitons are more robust than quiescent ones). Nonstationary regimes are addressed too, by considering abrupt application of gravity to solitons created in the weightless setting. In that case, solitons feature damped shuttle motion, provided that the gravity force does not exceed a dynamical critical value, which is smaller than its static counterpart. The results may help to design gravimeters based on ultracold atoms.
first_indexed 2024-03-12T16:30:10Z
format Article
id doaj.art-164cae1fc5f047d08444ec2439077dbd
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:30:10Z
publishDate 2020-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-164cae1fc5f047d08444ec2439077dbd2023-08-08T15:29:54ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122404300410.1088/1367-2630/ab7cb1Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezersBin Liu0Rongxuan Zhong1Zhaopin Chen2Xizhou Qin3Honghua Zhong4Yongyao Li5Boris A Malomed6School of Physics and Optoelectronic Engineering, Foshan University , Foshan 528000, People’s Republic of ChinaSchool of Physics and Optoelectronic Engineering, Foshan University , Foshan 528000, People’s Republic of ChinaDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University , P.O.B. 39040, Tel Aviv, IsraelSchool of Physics and Optoelectronic Engineering, Foshan University , Foshan 528000, People’s Republic of ChinaInstitute of Mathematics and Physics, Central South University of Forestry and Technology , Changsha 410004, People’s Republic of ChinaSchool of Physics and Optoelectronic Engineering, Foshan University , Foshan 528000, People’s Republic of China; Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University , P.O.B. 39040, Tel Aviv, IsraelSchool of Physics and Optoelectronic Engineering, Foshan University , Foshan 528000, People’s Republic of China; Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University , P.O.B. 39040, Tel Aviv, IsraelWe consider possibilities to grasp and drag one-dimensional solitons in two-component Bose–Einstein condensates (BECs), under the action of gravity, by tweezers induced by spatially confined spin–orbit (SO) coupling applied to the BEC, with the help of focused laser illumination. Solitons of two types are considered, semi-dipoles and mixed modes. We find critical values of the gravity force, up to which the solitons may be held or transferred by the tweezers. The dependence of the critical force on the magnitude and spatial extension of the localized SO interaction, as well as on the soliton’s norm and speed (in the transfer regime), are systematically studied by means of numerical methods, and analytically with the help of a quasi-particle approximation for the soliton. In particular, a noteworthy finding is that the critical gravity force increases with the increase of the transfer speed (i.e., moving solitons are more robust than quiescent ones). Nonstationary regimes are addressed too, by considering abrupt application of gravity to solitons created in the weightless setting. In that case, solitons feature damped shuttle motion, provided that the gravity force does not exceed a dynamical critical value, which is smaller than its static counterpart. The results may help to design gravimeters based on ultracold atoms.https://doi.org/10.1088/1367-2630/ab7cb1Gross–Pitaevskii equationdynamicsmatter-wave solitonsspin–orbit-coupling
spellingShingle Bin Liu
Rongxuan Zhong
Zhaopin Chen
Xizhou Qin
Honghua Zhong
Yongyao Li
Boris A Malomed
Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
New Journal of Physics
Gross–Pitaevskii equation
dynamics
matter-wave solitons
spin–orbit-coupling
title Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
title_full Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
title_fullStr Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
title_full_unstemmed Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
title_short Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers
title_sort holding and transferring matter wave solitons against gravity by spin orbit coupling tweezers
topic Gross–Pitaevskii equation
dynamics
matter-wave solitons
spin–orbit-coupling
url https://doi.org/10.1088/1367-2630/ab7cb1
work_keys_str_mv AT binliu holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT rongxuanzhong holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT zhaopinchen holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT xizhouqin holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT honghuazhong holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT yongyaoli holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers
AT borisamalomed holdingandtransferringmatterwavesolitonsagainstgravitybyspinorbitcouplingtweezers