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SUMMARY:Complexity and the Hilbert space dimension of 3D gravity
DTSTART:20260604T121500Z
DTEND:20260604T134500Z
DTSTAMP:20260608T075300Z
UID:indico-event-521@indico.tpi.uni-jena.de
DESCRIPTION:Speakers: Jonathan Karl (University of Würzburg)\n\nIn this t
 alk we determine the size and structure of the Hilbert space for near-e
 xtremal black holes in three spacetime dimensions\, using a quantum dynami
 cal Krylov complexity approach. In particular\, we compute the spread of
  an evolving thermofield double state over the accessible part of the Hil
 bert space. For early times\, the dynamics of the system coincide with tho
 se of a quantum particle moving on the SL(2\,R) group manifold. The late-
 time behavior of the black hole receives large quantum corrections\, induc
 ed by wormhole effects in the semiclassical path integral\, leading to the
  saturation of spread complexity. The saturation value determines the Hilb
 ert space dimension\, which we find to be exponential in the Bekenstein–
 Hawking entropy. Our results introduce a new way to compute the Hilbert s
 pace dimension of complex interacting systems from the saturating value of
  spread complexity.\n\nhttps://indico.tpi.uni-jena.de/event/521/
LOCATION:Abbeanum/1-HS2 - Straubel-HS (TPI\, FSU Jena)
URL:https://indico.tpi.uni-jena.de/event/521/
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