The University of Arizona

Lieb-Robinson Bounds and the Spectral Flow

Lieb-Robinson Bounds and the Spectral Flow

Series: Mathematical Physics and Probability Seminar
Location: Math 402
Presenter: Robert Sims, University of Arizona

This talk will review locality estimates for quantum lattice systems  which are generally referred to as Lieb-Robinson  bounds. As an application, various properties of the  spectral flow, also known as ‘quasi-adiabatic evolution’, will be discussed. Here the spectral flow is a carefully chosen automorphism which has been useful in a number of recent application; most notably a proof of stability of the spectral gap for a large class of frustration free models.

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