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[Fizinfo] BME Elméleti Fizika Tanszék szemináriuma

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  • From: tcsaba <tcsaba AT>
  • To: fizinfo AT
  • Subject: [Fizinfo] BME Elméleti Fizika Tanszék szemináriuma
  • Date: Tue, 26 Feb 2019 09:24:39 +0100

M E G H Í V Ó - I N V I T A T I O N

Seminar Series of the Department of Theoretical Physics at the
Budapest University of Technology and Economics

Bruno Bertini
(University of Ljubjana)

Exact Spectral Form Factor and Entanglement Spreading
in a Minimal Model of Many-Body Quantum Chaos

I will show that the periodically driven Ising chain in transverse field, for some particular values of the couplings, can be regarded as a minimal model for many body quantum chaos. Specifically, I will present an exact proof of the fact that the spectral form factor (a measure of spectral correlations) is described by random matrix theory. This result implies ergodicity for any finite amount of disorder in the longitudinal field, excluding the possibility of many-body localisation. The method used provides a novel route for obtaining exact non-perturbative results in non-integrable systems. As an example of this, I provide exact results on the entanglement spreading from a class of initial states and use that to characterise the entanglement spreading in the system.

B. Bertini, P. Kos, and T. Prosen, arXiv:1812.05090
B. Bertini, P. Kos, and T. Prosen, Phys. Rev. Lett. 121, 264101(2018)

Időpont: 2019. március 1. péntek, 10:15
Helyszín: BME Fizikai Intézet, Elméleti Fizika Tanszék,
Budafoki út 8. F-épület, III lépcsőház, szemináriumi szoba

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