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(Seminar) Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations
06/06
2019
- Title (Seminar) Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations
- Speaker
- Date
- Venue
Abstract
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CAS Key Laboratory of Theoretical Physics | |||
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Institute of Theoretical Physics | |||
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Chinese Academy of Sciences | |||
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Seminar | |||
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Title 题目 |
Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations | ||
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Speaker 报告人 |
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Affiliation 所在单位 |
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Date 日期 |
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Venue 地点 |
Room6620,ITP South Building | ||
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Abstract 摘要 |
In this talk, I begin wtih the nonlinear Schroedinger/Gross-Pitaevskii equations (NLSE/GPE) for modeling Bose-Einstein condensation (BEC), nonlinear optics, quantum physics and chemistry, etc., and review some dynamical properties of NLSE/GPE including conserved quantities, dispersion relation, center-of-mass dynamics, soliton solutions and semiclassical limits. Different numerical methods will be presented including finite different time domain (FDTD) methods and time-splitting spectral method, and their error estimates and comparison will be discussed. Extensions to NLSE/GPE with an angular momentum rotation term and/or non-local dipole-dipole interaction as well as multi-component will be presented. Finally, applications to soliton interactions, collapse and explosion of BEC, quantum transport and quantized vortex interaction will be investigated. | ||
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Contact Person 所内联系人 |
易俗 | ||