Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice

doi:10.1088/1674-1056/abd746

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60307-060307.doi: 10.1088/1674-1056/abd746

Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice

Ji-Li Ma(马吉利), Xiao-Xun Li(李晓旬), Rui-Jin Cheng(程瑞锦), Ai-Xia Zhang(张爱霞), and Ju-Kui Xue(薛具奎)^†

College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China

收稿日期:2020-09-22 修回日期:2020-11-29 接受日期:2020-12-30 出版日期:2021-05-18 发布日期:2021-05-18
通讯作者: Ju-Kui Xue E-mail:xuejk@nwnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice

Ji-Li Ma(马吉利), Xiao-Xun Li(李晓旬), Rui-Jin Cheng(程瑞锦), Ai-Xia Zhang(张爱霞), and Ju-Kui Xue(薛具奎)^†

College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China

Received:2020-09-22 Revised:2020-11-29 Accepted:2020-12-30 Online:2021-05-18 Published:2021-05-18
Contact: Ju-Kui Xue E-mail:xuejk@nwnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

摘要/Abstract

摘要： We study the stabilization properties of dipolar Bose-Einstein condensate in a deep one-dimensional optical lattice with an additional external parametrically modulated harmonic trap potential. Through both analytical and numerical methods, we solve a dimensionless nonlocal nonlinear discrete Gross-Pitaevskii equation with both the short-range contact interaction and the long-range dipole-dipole interaction. It is shown that, the stability of dipolar condensate in modulated deep optical lattice can be controled by coupled effects of the contact interaction, the dipolar interaction and the external modulation. The system can be stabilized when the dipolar interaction, the contact interaction, the average strength of potential and the ratio of amplitude to frequency of the modulation satisfy a critical condition. In addition, the breather state, the diffused state and the attractive-interaction-induced-trapped state are predicted. The dipolar interaction and the external modulation of the lattice play important roles in stabilizing the condensate.

关键词: Bose-Einstein condensate, optical lattice, dipole-dipole interaction, periodic modulation

Abstract: We study the stabilization properties of dipolar Bose-Einstein condensate in a deep one-dimensional optical lattice with an additional external parametrically modulated harmonic trap potential. Through both analytical and numerical methods, we solve a dimensionless nonlocal nonlinear discrete Gross-Pitaevskii equation with both the short-range contact interaction and the long-range dipole-dipole interaction. It is shown that, the stability of dipolar condensate in modulated deep optical lattice can be controled by coupled effects of the contact interaction, the dipolar interaction and the external modulation. The system can be stabilized when the dipolar interaction, the contact interaction, the average strength of potential and the ratio of amplitude to frequency of the modulation satisfy a critical condition. In addition, the breather state, the diffused state and the attractive-interaction-induced-trapped state are predicted. The dipolar interaction and the external modulation of the lattice play important roles in stabilizing the condensate.

Key words: Bose-Einstein condensate, optical lattice, dipole-dipole interaction, periodic modulation

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

03.75.Lm

05.45.Yv (Solitons) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

Ji-Li Ma(马吉利), Xiao-Xun Li(李晓旬), Rui-Jin Cheng(程瑞锦), Ai-Xia Zhang(张爱霞), and Ju-Kui Xue(薛具奎). Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice[J]. 中国物理B, 2021, 30(6): 60307-060307.

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Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice

Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice

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