Random Matrix Spectral Fluctuations in Quantum Lattice Systems

Tomaž Prosen (University of Ljubljana)

Tue Oct 26, 14:00-15:00 (4 days from now)
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Abstract: I will discuss the problem of unreasonable effectiveness of random matrix theory for description of spectral fluctuations in extended quantum lattice systems. A class of interacting spin systems has been recently identified - specifically, the so-called dual unitary circuits - where the spectral form factor is proven to match with circular ensembles of random matrix theory. The key ideas of novel methodology needed in the proofs will be discussed which are very different than the standard periodic-orbit based methods in quantum chaos of few body semiclassical systems.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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Organizers: Jan Dereziński, Marcello Porta*, Kasia Rejzner*, Daniel Ueltschi*
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