Institute for Mathematical Sciences

Workshop 1: Recent Progress and Challenge in Quantum and Kinetic Problems

(30 September - 4 October 2019)

Partially supported by Centre for Advanced 2D Materials (CA2DM)
Venue: IMS Auditorium
PDF Abstracts

Monday, 30 Sep 2019

09:00am - 09:10amRegistration
09:10am - 09:15amOpening Remarks
09:15amChair: Weizhu Bao, National University of Singapore, Singapore
09:15am - 10:00am

Nonlinear dissipative photonics with spin-orbit coupling



Boris Malomed
Tel Aviv University, Israel
10:00am - 10:45am

Nonequilibrium dynamical mean-field theory and hidden phases of quantum matter



Martin Eckstein
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
10:45am - 11:15amCoffee Break
11:15am - 12:00pm

Correlated topological states with interfaces and disorder



Walter Hofstetter
Goethe University Frankfurt AM Main, Germany
12:00pm - 01:30pmLunch Break
01:30pmChair: Chao Yang, Berkeley Lab Computing Sciences, University of California, USA
01:30pm - 02:15pm

Random batch methods for interacting particle systems and its applications in consensus-based high dimensional global optimization in machine learning

(Video)



Shi Jin
Shanghai Jiao Tong University, China
02:15pm - 03:00pm

A bi-fidelity method for multiscale kinetic equations with random parameters: computation and error analysis



Liu Liu
The University of Texas at Austin, USA
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Some properties and numerical aspects of fractional Schrödinger equations



Xavier Antoine
Université de Lorraine, France
04:15pm - 05:00pm

Fast convolution-type nonlocal potential solvers in nonlinear Schrödinger equation and lightning simulation



Yong Zhang
Tianjin University, China

Tuesday, 01 Oct 2019

09:00am - 09:15amRegistration
09:15amChair: Boris Malomed, Tel Aviv University, Israel
09:15am - 10:00am

Deriving order parameter from the reduced density matrix

(PDF) (Video)



Hai-Qing Lin
Beijing Computational Science Research Center, China
10:00am - 10:45am

Polynomial and rational approximation for electronic structure theory

(PDF)



Simon Tobias Etter
National University of Singapore, Singapore
10:45am - 11:15amGroup Photo & Coffee Break
11:15am - 12:00pm

Algorithms for computing eigenvalues of quantum spin chains



Chao Yang
Berkeley Lab Computing Sciences, University of California, USA
12:00pm - 01:30pmLunch Break
01:30pmChair: Xavier Antoine, Université de Lorraine, France
01:30pm - 02:15pm

Analysis of convergence of Schwarz waveform relaxation methods for the Schroedinger equation

(PDF) (Video)



Emmanuel Lorin
Carleton University, Canada
02:15pm - 03:00pm

Computational quantum mechanics in phase space

(PDF)



Sihong Shao
Peking University, China
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Highly-oscillatory evolution equations with time-varying vanishing frequency: asymptotics and numerics



Mohammed Lemou
Université de Rennes 1, France
04:15pm - 05:00pm

Multiscale methods and analysis for the Dirac/nonlinear Dirac equation

(PDF)



Jia Yin
National University of Singapore, Singapore

Wednesday, 02 Oct 2019

09:00am - 09:15amRegistration
09:15amChair: Shi Jin, Shanghai Jiao Tong University, China
09:15am - 10:00am

High friction limits from Euler flows to gradient flows

(PDF)



Athanasios Tzavaras
King Abdullah University of Science and Technology, Saudi Arabia
10:00am - 10:45am

On hyperbolicity and convergence of Grad's moment method

(PDF)



Zhenning Cai
National University of Singapore, Singapore
10:45am - 11:15amCoffee Break
11:15am - 12:00pm

Averaging for Vlasov and Vlasov-Poisson equations

(PDF) (Video)



Florian Méhats
Université de Rennes 1, France
12:00pm - 01:30pmLunch Reception at IMS

Thursday, 03 Oct 2019

09:00am - 09:15amRegistration
09:15amChair: Athanasios Tzavaras, King Abdullah University of Science and Technology, Saudi Arabia
09:15am - 10:00am

Fermi's Golden Rule and H^1 Scattering for Nonlinear Klein-Gordon Equations with Metastable States

(PDF)



Xinliang An
National University of Singapore, Singapore
10:00am - 10:45am

The Cauchy problem for the quantum hydrodynamics system and the stability of weak solutions

(PDF)



Paolo Antonelli
Gran Sasso Science Institute, Italy
10:45am - 11:15amCoffee Break
11:15am - 12:00pm

On a kinetic Elo rating model for players with dynamical strength

(PDF)



Bertram Düring
University of Sussex, UK
12:00pm - 01:30pmLunch Break
01:30pmChair: Hai-Qing Lin, Beijing Computational Science Research Center, China
01:30pm - 02:15pm

Trapped Bose-Einstein condensates with attractive s-wave interaction



Su Yi
Chinese Academy of Sciences, China
02:15pm - 03:00pm

Gibbs equilibrium for Gross-Pitaevskii equation

(PDF)



Reika Fukuizumi
Tohoku University, Japan
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Angular momentum radiation by a benzene molecule

(PDF) (Video)



Jian-Sheng Wang
National University of Singapore, Singapore
04:15pm - 05:00pm

On-demand topological matter by periodic driving



Jiangbin Gong
National University of Singapore, Singapore
05:45pm - 09:00pmConference Dinner
Venue: Prive Grill, The University Club, Shaw Foundation Alumni House, #04-02, 11 Kent Ridge Drive, Singapore 119244

Friday, 04 Oct 2019

09:00am - 09:15amRegistration
09:15amChair: Weizhu Bao, National University of Singapore, Singapore
09:15am - 10:00am

Ground states of spinor Bose-Einstein condensates

(PDF)



Yongyong Cai
Beijing Computational Science Research Center, China
10:00am - 10:45am

Emergent behaviors of the Schrödinger-Lohe model for quantum synchronization



Dohyun Kim
National Institute for Mathematical Sciences, Korea
10:45am - 11:15amCoffee Break
11:15am - 12:00pm

Quantized vortex stability and dynamics in superfluidity and superconductivity

(PDF) (Video)



Weizhu Bao
National University of Singapore, Singapore
12:00pm - 12:05pmClosing Remarks