理论物理所

Talks

Location: Home>Activities>Talks

(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

    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

    Professor Weizhu Bao

    Affiliation

    所在单位
    Department of Mathematics
    National University of Singapore

    Date

    日期
    6月6日下午15:00
     

    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