Quantized gravitational responses and the sign problem in quantum Monte Carlo

by Zohar Ringel

at Condensed Matter Seminar

Mon, 08 Jan 2018, 11:30
Physics building (#54) room 207

Abstract

It is believed that many quantum systems cannot be simulated efficiently using classical computational resources This notion is supported by the fact that in quantum Monte Carlo QMC simulations for a large number of important problems it is not known how to express the partition function in a sign free manner The answer to the question whether there is an fundamental obstruction to such a sign free representation in generic quantum systems remains unclear In this talk I ll describe how gravitational anomalies act as obstructions to local sign free QMC In condensed matter physics gravitational anomalies are intimately related to quantized thermal Hall responses a phenomena which occurs in various fractional quantum Hall effects I ll also briefly discuss the connection between gravitational effects and sign problems in frustrated antiferromagnets and in certain critical two dimensional vertex models Ref: http: advances sciencemag org content 3 9 e1701758 Popular science Ref: https: www sciencealert com quantum complexity rules out our universe as a computer simulation

Created on 05-11-2017 by Bar Lev, Yevgeny (ybarlev)
Updaded on 05-11-2017 by Bar Lev, Yevgeny (ybarlev)