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SUMMARY:Beyond 1D: An Introduction to Tensor Networks in Two Dimensions
DTSTART:20260716T060000Z
DTEND:20260716T070000Z
DTSTAMP:20260727T221600Z
UID:indico-event-9387@scitalks.tifr.res.in
DESCRIPTION:Speakers: Nisa Ara (TIFR)\n\nWe discuss the key ideas that mak
 e two-dimensional tensor-network methods practical. We begin with infinite
  Projected Entangled Pair States (iPEPS)\, the natural two-dimensional gen
 eralization of MPS\, and the optimization schemes used to variationally de
 termine their ground states. We then address the central computational cha
 llenge of the method: the contraction of an infinite two-dimensional tenso
 r network to evaluate physical observables. Two complementary approaches a
 re presented. The first is the Corner Transfer Matrix Renormalization Grou
 p (CTMRG)\, which approximates the infinite environment surrounding a loca
 l tensor by iteratively renormalizing its boundary. The second is the Levi
 n–Nave Tensor Renormalization Group (TRG)\, which instead coarse-grains 
 the entire tensor network through successive local singular value decompos
 itions. Together\, these methods provide the essential computational machi
 nery for studying strongly correlated quantum systems directly in the ther
 modynamic limit.\n\nhttps://scitalks.tifr.res.in/event/9387/
LOCATION:A304 and on zoom
URL:https://scitalks.tifr.res.in/event/9387/
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