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SUMMARY: Anomalous fluctuations in stochastic cellular automata - Takato 
 Yoshimura\, Oxford
DTSTART:20250214T140000Z
DTEND:20250214T153000Z
UID:TALK228187@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:Anomalous fluctuations are phenomena where hydrodynamic fluctu
 ations in the system behave in a way that violates usual expectations\, e.
 g. typical fluctuations that are Gaussian. It was discovered recently that
  certain many-body systems exhibit such fluctuations\, and one of the most
  notable examples is the isotropic spin-1/2 Heisenberg chain whose spin tr
 ansport shows a surprising "partial" Kardar-Parisi-Zhang (KPZ) physics. Su
 ch partial KPZ behaviour has been also experimentally confirmed using supe
 rconducting qubits\, where it was observed that the higher spin cumulants 
 behave in a way that is not controlled by any known KPZ sub universality c
 lass (e.g. GUE or Baik-Rains). In this talk\, I will introduce a hydrodyna
 mic framework based the ballistic macroscopic fluctuation theory to descri
 be anomalous fluctuations and apply it to a class of stochastic cellular a
 utomata. The cellular automata\, which have been solved microscopically\, 
 conserve a charge and it has been demonstrated that the charge fluctuation
 s in these systems and the spin fluctuations in the easy-axis Heisenberg c
 hain are both anomalous with the same non-Gaussian probability distributio
 n function. I will show how our approach successfully reproduces the known
  typical and large charge fluctuations in the systems and explain how one 
 can understand the phenomena hydrodynamically in systems with a Z_2 charge
 .\n\n
LOCATION:TCM Seminar Room
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