Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements

doi:10.1088/1674-1056/22/3/030315

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30315-030315.doi: 10.1088/1674-1056/22/3/030315

Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements

王莹, 宗丰德, 李峰波

Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2012-07-06 修回日期:2012-09-06 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672147 and 11072219) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1080959).

Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements

Wang Ying (王莹), Zong Feng-De (宗丰德), Li Feng-Bo (李峰波)

Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2012-07-06 Revised:2012-09-06 Online:2013-02-01 Published:2013-02-01
Contact: Zong Feng-De E-mail:fdzong@zjnu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672147 and 11072219) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1080959).

摘要/Abstract

摘要： We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis direction. The vortex solitons are built in the form of layer-chain structure made up of several fundamental vortices along the optical-lattice direction, which were not reported before in the three-dimensional Bose-Einstein condensate. By using the combination of the energy density functional method with the direct numerical simulation, we find three-dimensional vortex solitons with topological charge χ=1, χ=2, and χ=3. Moreover, the macroscopic quantum tunneling and the chirp phenomena of the vortex solitons are shown in the evolution. Thereinto, the occurrence of the macroscopic quantum tunneling provides a possibility for the realization of the quantum tunneling in experiment. Specifically, we manipulate the vortex solitons along the optical lattice direction successfully. The stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.

关键词: Bose-Einstein condensates, Gross-Pitaevskii equation, vortex soliton, manipulation

Abstract: We predict three-dimensional vortex solitons in a Bose–Einstein condensate under a complex potential which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis direction. The vortex solitons are built in the form of layer-chain structure made up of several fundamental vortices along the optical-lattice direction, which were not reported before in the three-dimensional Bose–Einstein condensate. By using the combination of the energy density functional method with the direct numerical simulation, we find three-dimensional vortex solitons with topological charge χ=1, χ=2, and χ=3. Moreover, the macroscopic quantum tunneling and the chirp phenomena of the vortex solitons are shown in the evolution. Thereinto, the occurrence of the macroscopic quantum tunneling provides a possibility for the realization of the quantum tunneling in experiment. Specifically, we manipulate the vortex solitons along the optical lattice direction successfully. The stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.

Key words: Bose–Einstein condensates, Gross-Pitaevskii equation, vortex soliton, manipulation

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow) 05.45.Yv (Solitons)

王莹, 宗丰德, 李峰波. Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements[J]. 中国物理B, 2013, 22(3): 30315-030315.

Wang Ying (王莹), Zong Feng-De (宗丰德), Li Feng-Bo (李峰波). Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements[J]. Chin. Phys. B, 2013, 22(3): 30315-030315.

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Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements

Three-dimensional Bose–Einstein condensate vortex soliton sunder optical lattice and harmonic confinements

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