Tomaz Prosen seminar, next Friday 1/31, 11am
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Sarang Gopalakrishnan
Jan 24, 2020, 9:36:12 AM1/24/20
to condmatcunyGC
Hi all,
Title: Exact Results on Quantum Many-Body Chaos
kicked Ising spin 1/2 chain, we can prove rigorously that the spectral form factor in thermodynamic limit matches the one of random matrix theory at all time scales.
(2) Spatiotemporal correlation function of any pair of local observables in dual-unitary lattice models is given exactly in terms of a single-site trace-preserving quantum channel
and can be used to classify ergodic properties which can range from non-ergodic to ergodic and dynamically mixing.
Tomaz Prosen (University of Ljubljana) will be visiting us next Friday, and speaking at 11am in the usual room (GC 5209). Title and abstract follow. Hope to see you there.
Sarang
Title: Exact Results on Quantum Many-Body Chaos
Abstract: I will discuss two recent analytical results on dynamics of chaotic many-body lattice systems which can be formulated as local quantum circuits and have a remarkable
duality property, namely that the dynamics is unitary not only in time but also in space direction: (1) For a particularly clean example of such models, specifically, for a self-dual kicked Ising spin 1/2 chain, we can prove rigorously that the spectral form factor in thermodynamic limit matches the one of random matrix theory at all time scales.
(2) Spatiotemporal correlation function of any pair of local observables in dual-unitary lattice models is given exactly in terms of a single-site trace-preserving quantum channel
and can be used to classify ergodic properties which can range from non-ergodic to ergodic and dynamically mixing.
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