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Dresden 2020 – scientific programme

The DPG Spring Meeting in Dresden had to be cancelled! Read more ...

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DY: Fachverband Dynamik und Statistische Physik

DY 61: Invited Talk

DY 61.1: Invited Talk

Friday, March 20, 2020, 09:30–10:00, HÜL 186

Characterizing quantum chaos through adiabatic transformations — •Anatoli Polkovnikov1, Anushya Chandran1, Pieter Claeys3, Anatoly Dymarsky4, Mohit Pandey1, Tamiro Renzo1, Dries Sels2, Sho Sugiura2, and Jonathan Wurtz11Department of Physics, Boston University — 2Department of Physics, Harvard University — 3Cavendish Laboratory at the University of Cambridge — 4Department of Physics, University of Kentucky

I will discuss our recent progress in understanding and characterizing quantum chaos through the adiabatic gauge potential (AGP). The latter is defined as an operator generating adiabatic transformations. In particular, I will show that these generators are highly anisotropic in the coupling space defining the families of adiabatically connected Hamiltonians implying that chaos is highly directional. I will discuss the structure of the adiabatic flows along the directions with the minimal norm of the AGP and show that these flows have natural attractors corresponding to massively degenerate points. I will also discuss emerging singularities of the AGP and the corresponding many-body dark states, which can live very far from the ground state . Finally I will show that the AGP can serve as a very sensitive probe of quantum chaos.

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