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(Seminar) Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations |
2019-06-06
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CAS Key Laboratory of Theoretical Physics | Institute of Theoretical Physics | Chinese Academy of Sciences | Seminar | Title 题目 | Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations | Speaker 报告人 | | Affiliation 所在单位 | Department of Mathematics National University of Singapore | | Date 日期 | | Venue 地点 | Room6620,ITP South Building | 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. | Contact Person 所内联系人 | 易俗 |
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