【數學學院】“21世紀學科前沿”Weizhu Bao教授學術報告預告
發布日期：2015-12-14
題目: Mathematical Models and Numerical Simulation for Bose-Einstein Condensation
報告人: Prof Weizhu Bao
Department of Mathematics
National University of Singapore
報告時間：2015年12月22日，15：00-16：00.
報告地點：北京理工大學良鄉校區，理學樓A305會議室
摘要: The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and optical lattices.In this talk, I will present a short survey on mathematical models and theories as well as numerical methods for BEC based on the mean field theory.We start with the Gross-Pitaevskii equation (GPE) in three dimensions (3D) for modeling one-component BEC of the weakly interacting bosons,scale it to obtain a three-parameter model and show how to reduce it to two dimensions (2D) and one dimension (1D) GPEs in certain limiting regimes. Mathematical theories and numerical methods for ground states and dynamics of BEC are provided.Extensions to GPE with an angular momentum rotation term for a rotating BEC,to GPE with long-range anisotropic dipole-dipole interaction for a dipolar BEC and to coupled GPEs for spin-orbit coupled BECs are discussed.Finally, some conclusions are drawn and future research perspectives are discussed.
報告人簡介:
Professor Weizhu BAO is currently the Provost's Chair Professor at Department of Mathematics, National University of Singapore (NUS).He got his PhD from Tsinghua Univeristy in 1995 and afterwards he had postdoc and faculty positions at Tsinghua University, Imperial College in UK, Georgia Institute of Technologyand University of Wisconsin at Madison in USA. He joined NUS as an Assistant Professor in 2000 and was promoted to Professor in 2009.His research interests include numerical methods for partial differential equations, scientific computing/numerical analysis, analysis and computation for problems from physics, chemistry, biology and engineering sciences. He was on the Editorial Board of SIAM Journal on Scientific Computing during 2009--2014. He was awarded the Feng Kang Prize (馮康獎) in Scientific Computing by theChinese Computational Mathematics Society in 2013. He has been invited to give plenary and/or invited talks in many international conferences including the Invited Speaker at the International Congress of Mathematicians (ICM) in 2014.
報告人: Prof Weizhu Bao
Department of Mathematics
National University of Singapore
報告時間：2015年12月22日，15：00-16：00.
報告地點：北京理工大學良鄉校區，理學樓A305會議室
摘要: The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and optical lattices.In this talk, I will present a short survey on mathematical models and theories as well as numerical methods for BEC based on the mean field theory.We start with the Gross-Pitaevskii equation (GPE) in three dimensions (3D) for modeling one-component BEC of the weakly interacting bosons,scale it to obtain a three-parameter model and show how to reduce it to two dimensions (2D) and one dimension (1D) GPEs in certain limiting regimes. Mathematical theories and numerical methods for ground states and dynamics of BEC are provided.Extensions to GPE with an angular momentum rotation term for a rotating BEC,to GPE with long-range anisotropic dipole-dipole interaction for a dipolar BEC and to coupled GPEs for spin-orbit coupled BECs are discussed.Finally, some conclusions are drawn and future research perspectives are discussed.
報告人簡介:
Professor Weizhu BAO is currently the Provost's Chair Professor at Department of Mathematics, National University of Singapore (NUS).He got his PhD from Tsinghua Univeristy in 1995 and afterwards he had postdoc and faculty positions at Tsinghua University, Imperial College in UK, Georgia Institute of Technologyand University of Wisconsin at Madison in USA. He joined NUS as an Assistant Professor in 2000 and was promoted to Professor in 2009.His research interests include numerical methods for partial differential equations, scientific computing/numerical analysis, analysis and computation for problems from physics, chemistry, biology and engineering sciences. He was on the Editorial Board of SIAM Journal on Scientific Computing during 2009--2014. He was awarded the Feng Kang Prize (馮康獎) in Scientific Computing by theChinese Computational Mathematics Society in 2013. He has been invited to give plenary and/or invited talks in many international conferences including the Invited Speaker at the International Congress of Mathematicians (ICM) in 2014.