Quantica Computing, LLC, California

欧洲杯赛事Abstract：

This talk t欧洲杯买球网ouches upon the rudiments of differential topology that are related to the quantum physics 欧洲杯竞猜of fermionic systems, specifically, the wavefunction nodal structure of a many-fermion gr欧洲杯竞猜ound state. Theoretically, it is an interesting problem in mathematics to determine the nodal topology of the solution t欧洲杯比分o a given differential operator. Practically in computational physics, knowledge of the wa欧洲杯冠亚军vefunction nodal structure bears great importance for fixed-node or constrained path quan tum Monte Carlo, as a trial wa欧洲杯决赛vefunction must get the topology right in order to approximate a true ground state.

A well-known conjecture by Ceperley p欧洲杯预测osits that the ground state of any single-species fermionic system has just one positive nodal cell. Its truth has been 欧洲杯投注proved rigorously for fermionic systems without interactions. However, it remains open in 欧洲杯冠亚军the presence of interactions among identical fermions. We will outline a physics-inspired 欧洲杯赛事proof for Ceperley's conjecture using the mathematical tools of homotopy and set-valued an欧洲杯投注alytic curves, which strongly reminisce familiar processes and phenomena in physics, inclu欧洲杯预测ding the adiabatic evolution of a quantum system under a slow-varying Hamiltonian, and avo欧洲杯赛事ided crossing of energy levels by a perturbation to remove degeneracy.

Brief CV of Dr. Haiqing Wei:

Haiqing Wei holds B.Sc欧洲杯买球网. from Peking University and Ph.D. from McGill University. He has been an industrial physicist, worked in various areas 欧洲杯决赛of technology, and become a leading expert in the fields of large-scale software developme欧洲杯赛事nt, systems engineering, modeling and simulations, mathematical optimization, image proces欧洲杯赛事sing, convolutional nonlinear networks, and quantum computing. He is currently a co-founder and CTO of a company special欧洲杯赛事izing in research and development of industrial software. Dr. Wei is also an avid citizen scientist in his spare time, w欧洲杯冠亚军orking on fundamental as well as applied physics and mathematics.

报告地点：M楼 253会议室

主  持  人：胡江平  研究员

联  系  人：傅琦（82649469）