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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 |
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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.
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Received: 22 September 2020
Revised: 29 November 2020
Accepted manuscript online: 30 December 2020
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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05.45.Yv
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(Solitons)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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| Fund: 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). |
Corresponding Authors:
Ju-Kui Xue
E-mail: xuejk@nwnu.edu.cn
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Cite this article:
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 2021 Chin. Phys. B 30 060307
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