讲座题目：Universal distribution of topological defects and adiabatic quantum computation

主讲人：Prof..Adolfo del Campo

主持人：武海斌教授

讲座时间：2019.4.15上午09:30

讲座地点：理科大楼A814室

报告摘要：

When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a universal power-law predicted by the Kibble-Zurek mechanism. We analyze the full counting statistics of kinks and report the exact kink number distribution in the transverse field quantum Ising model. Kink statistics is described by the Poisson binomial distribution with all cumulants exhibiting a universal power-law scaling with the quench rate. In the absence of finite-size effects, the distribution approaches a normal one, a feature that is expected to apply broadly in systems described by the Kibble-Zurek mechanism. We shall discuss the implications of such universal signatures on the dynamics of quantum annealing and the performance of adiabatic quantum computers.

Refs.:

Adolfo del Campo, Universal Statistics of Topological Defects Formed in a Quantum Phase Transition, Phys. Rev. Lett. 121, 200601 (2018)

Jin-Ming Cui, Fernando Javier Gómez-Ruiz, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Adolfo del Campo,Testing quantum critical dynamics beyond the Kibble-Zurek mechanism with a trapped-ion simulator, arXiv:1903.02145

Zhenyu Xu, Adolfo del Campo, Probing the full distribution of many-body observables by single-qubit interferometry, arXiv:1812.06983

报告人简介：

Positions

19-University of Basque Country and Donostia International Physics Center

kerbasque research professor

18-Los Alamos National Laboratory, Theoretical division,T-4

faculty guest scientist

18-University of Massachusetts Boston, Department of Physics

tenured associate professor

14-University of Massachusetts Boston, Department of Physics

tenure-track associate professor

11-14 Los Alamos National Laboratory, Theoretical division,T-4&Center for Non-Linear Studies

J. Robert Oppenheimer fellow

11-11Leibniz Universität Hannover, Institut für Theoretische Physik

research associate

09-11  Universität Ulm,Institut für Theoretische Physik

research associate

08-09 Imperial College London, Blackett Laboratory&Institute for Mathematical Sciences

research associate

07-08 Basque Country University, QUINST, Department of Physical Chemistry

research associate

Education

04-08 PhD,University of Basque Country(Bilbao, Spain)

99-04 Bachelor’s degree,University of Basque Country(Bilbao, Spain)