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UID:dee1afba-2306-43a9-8dad-c65e1286d53f@nexttoyou
DTSTAMP:20261106T175934Z
DTSTART:20261106T204500Z
DTEND:20261106T214500Z
SUMMARY:CAM Colloquium November 6\, 2026 - Jason Kaye\, Flatiron Institute
LOCATION:Frank H. T. Rhodes Hall 655
DESCRIPTION:Title: The Green's function view of interacting quantum physic
 s\n\nAbstract: The central challenge in simulating the physics of many in
 teracting quantum particles is the exponential growth of the many-body st
 ate space dimension with respect to the number of possible states of a si
 ngle particle. In the special case of non-interacting particles\, the man
 y-body space factorizes and this scaling disappears\, but for the strongl
 y interacting systems of contemporary interest in condensed matter theory
  and experiment\, correctly treating interaction effects is critical. Gre
 en's function methods offer an alternative to the standard wavefunction-b
 ased picture of quantum physics\, suggesting systematic and computational
 ly tractable strategies to approximate the effects of particle interactio
 ns.\n\nThis talk will give a pedagogical introduction to some basic chara
 cters of quantum many-body theory\, including creation and annihilation o
 perators\, the Hubbard model\, the single-particle Green's function\, the
  self-energy\, and quantum embedding via dynamical mean-field theory (DMF
 T). We will see that the single-particle Green's function of many-body th
 eory naturally generalizes its more familiar classical counterpart\, and 
 that it provides a practical link with experiment via the spectral functi
 on. The Green's function framework leads to many interesting applied math
 ematics problems\, and we will focus in particular on the solution of the
  quantum impurity problem\, the bottleneck of DMFT. I will briefly \n\nht
 tp://next-to-u.app/events/dee1afba-2306-43a9-8dad-c65e1286d53f
URL:http://next-to-u.app/events/dee1afba-2306-43a9-8dad-c65e1286d53f
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