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Analysis Of Complex Physical Systems
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Jean-Bernard Bru, Zoom (Online): Lieb-Robinson Bounds for Multi-Commutators
Wednesday, May 25, 2022, 11:00am - 12:00pm
I will present a generalization the usual Lieb-Robinson bounds to multi-commutators. Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of the dynamics of quantum particles with interactions which are non-vanishing in the whole space and possibly time-dependent. To illustrate this, I will explain how the bounds for multi-commutators of order three yield existence of fundamental solutions for the corresponding non-autonomous initial value problems for observables of interacting fermions on lattices. They can also be used to study linear and non-linear responses of interacting fermions to external perturbations. All results also apply to quantum spin systems, with obvious modifications. Zoom link: https://utexas.zoom.us/j/95420502143
Location: Zoom (Online)

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