BEGIN:VCALENDAR
VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Madison-Physics-Events
BEGIN:VEVENT
SEQUENCE:0
UID:UW-Physics-Event-1002
DTSTART:20080124T160000Z
DURATION:PT1H0M0S
DTSTAMP:20260423T072219Z
LAST-MODIFIED:19700101T060000Z
LOCATION:5310 Chamberlin Hall
SUMMARY:How Difficult is Quantum Many-Body Theory?\, R. G. Herb Conden
 sed Matter Seminar\, Matthew Hastings\, Physics\, Los Alamos National 
 Laboratory
DESCRIPTION:The basic problem of much of condensed matter and high ene
 rgy physics\, as well as quantum chemistry\, is to find the ground sta
 te properties of some Hamiltonian. Many algorithms have been invented 
 to deal with this problem\, each with different strengths and limitati
 ons. Ideas such as entanglement entropy from quantum information theor
 y and quantum computing enable us to understand the difficulty of vari
 ous problems. I will discuss recent results on area laws and use these
  to prove that we can use matrix product states to efficiently represe
 nt ground states for one-dimensional systems with a spectral gap\, whi
 le certain other one-dimensional problems\, without the gap assumption
 \, almost certainly have no efficient way for us to even represent the
  ground state on a classical computer. I will also discuss recent resu
 lts on higher-dimensional matrix product states\, in an attempt to ext
 end the remarkable success of matrix product algorithms beyond one dim
 ension.
URL:https://www.physics.wisc.edu/events/?id=1002
END:VEVENT
END:VCALENDAR