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SUMMARY:Controlled results in quantum many-body physics: from a dream to r
 eality - Olga Goulko (Boise State)
DTSTART:20190314T141500Z
DTEND:20190314T151500Z
UID:TALK120946@talks.cam.ac.uk
CONTACT:Adrian Kent
DESCRIPTION:\nMany interesting systems in modern condensed matter physics\
 , such as\nstrongly correlated fermions\, are too complex to be dealt with
  by purely\nanalytical methods because of the lack of small parameters. In
  this\ntalk\, I will discuss the power of the diagrammatic technique\, whi
 ch\nallows us to address problems in many-body physics (and indeed many\no
 ther areas of physics!) without uncontrolled approximations. I will\nshow 
 how physical quantities can be obtained from the diagrammatic\nexpansion u
 sing numerical algorithms\, such as quantum Monte Carlo. In\nthis sense\, 
 simulations can be viewed as "numerical experiments" probing\nthe system a
 nd making quantitative predictions about its properties. In\ncombination w
 ith analytical methods they also offer an exciting new way\nto address fun
 damental questions. We can test previously uncontrolled\nassumptions and e
 xplicitly check which properties of a model are\nnecessary to produce cert
 ain features\, and which are irrelevant. I will\nillustrate the successes 
 and challenges of diagrammatic Quantum Monte\nCarlo on several examples fr
 om atomic physics.
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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