**Time/Venue** Wednesday, September 15 at 2 pm in 402 Physics South and Zoom: https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09 *Meeting ID: 995 2349 9113 **Passcode: 600704*

**Host**Joel Moore

**Local resonances and parametric level dynamics in the many-body localised phase**

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**Abstract**I will talk about resonances in the many-body localised (MBL) phase of disordered quantum spin chains, following arXiv:2107.12387. The standard theory of the MBL phase is based on the existence of local integrals of motion (LIOM), and eigenstates of the time evolution operator can be described as LIOM configurations. Resonances between LIOM configurations arise under variations of the disorder, and correspond to avoided level crossings. This parametric approach provides a way to describe resonances in terms of standard properties of non-resonant LIOM. As examples, I will show how to calculate correlations of the level density, and distributions of matrix elements of local observables.

Snacks to follow