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Models And Methods For Quantum Condensation And Fluids [Hardback]

Edited by (Universite De Rouen Normandie, France), Edited by (Beijing Normal University, China), Edited by (King Abdullah University Of Science And Technology, Saudi Arabia), Edited by (Nus, S'pore)
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The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.
Foreword vii
Preface ix
Multidimensional Self-Trapping in Linear and Nonlinear Potentials
1(96)
Boris A. Malomed
Dipolar Bose-Einstein Condensates --- Droplets and Supersolids Arising from Beyond Meanfield Effects
97(50)
P. Blair Blakie
Mathematical Theory and Numerical Methods for Bose-Einstein Condensation with Higher-Order Interaction
147(36)
Yongyong Cai
Xinran Ruan
Synthetic Gauge Field and Spin-Orbit Coupling in Ultracold Atomic Condensate
183(20)
Li Chen
Han Pu
From Classical to Quantum Turbulence: Basic Concepts and Models
203(68)
Ionut Danaila
Luminita Danaila
Numerical Methods for Solving the Time-Dependent Schrodinger Equation for a Molecular Dynamics Process
271
Hailin Zhao
Zhigang Sun