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SUMMARY:Michael Kaicher\, "Mean-Field Theory for Real- and Imaginary-Time 
 Evolution in Interacting Spin-½ Systems"
DTSTART:20250611T100000Z
DTEND:20250611T110000Z
DTSTAMP:20260827T095200Z
UID:indico-event-1017@indico.hiskp.uni-bonn.de
DESCRIPTION:Abstract:  With the increasing size and controllability of mo
 dern quantum simulators\, benchmarking experimental results against numeri
 cal simulations becomes increasingly challenging. In this work\, we presen
 t two efficient mean-field approaches based on bosonic and fermionic Gauss
 ian states. These methods enable the real- and imaginary-time evolution of
  large spin-½ systems with arbitrary geometries and interactions\, extend
 ing conventional spin mean-field theory by incorporating quantum fluctuati
 ons within the Gaussian approximation. We derive numerically stable equat
 ions of motion for the bosonic variational parameters and extend the fermi
 onic Gaussian mean-field formulation beyond fermionic parity-conservation.
  This advancement allows\, for the first time\, fermionic Gaussian states 
 to represent general spin-½ Hamiltonians. As a case study\, we examine th
 e limitations of Gaussian mean-field methods in simulating a quantum quenc
 h of the transverse-field Ising model (TFIM) in two dimensions\, comparing
  our results with state-of-the-art techniques.\n\nhttps://indico.hiskp.uni
 -bonn.de/event/1017/
URL:https://indico.hiskp.uni-bonn.de/event/1017/
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