Vortex in Generalized Gross-Pitaevskii Theory

DUAN Yi-shi; ΖHANG Peng-ming

doi:10.11804/NuclPhysRev.18.04.225

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Article Navigation > Nuclear Physics Review > 2001 > 18(4): 225-231

DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. doi: 10.11804/NuclPhysRev.18.04.225

Citation:

DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. doi: 10.11804/NuclPhysRev.18.04.225

Vortex in Generalized Gross-Pitaevskii Theory

doi: 10.11804/NuclPhysRev.18.04.225

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2001-12-20

Abstract

We studied the topological structure of vortex in the Bose-Einstein condensation with a generalized Gross-Pitaevskii equation in (2+1)-dimensional space-time and 3-dimensional space, respectively. Such equation can be used in discussing Bose-Einstein condensates in heterogeneous and highly nonlinear systems. An explicit expression for the vortex velocity field as a function of the order parameter field is derived in terms of the Φ -mapping theory, and the topological structure of ...
- Gross-Pitaevskii equation,
- topological current theory of Φ -mapping,
- bifurcation
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Vortex in Generalized Gross-Pitaevskii Theory

doi: 10.11804/NuclPhysRev.18.04.225

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2001-12-20

Key words:

Gross-Pitaevskii equation /
topological current theory of Φ -mapping /
bifurcation

Abstract: We studied the topological structure of vortex in the Bose-Einstein condensation with a generalized Gross-Pitaevskii equation in (2+1)-dimensional space-time and 3-dimensional space, respectively. Such equation can be used in discussing Bose-Einstein condensates in heterogeneous and highly nonlinear systems. An explicit expression for the vortex velocity field as a function of the order parameter field is derived in terms of the Φ -mapping theory, and the topological structure of ...

DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. doi: 10.11804/NuclPhysRev.18.04.225

Citation:

DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. doi: 10.11804/NuclPhysRev.18.04.225