Quantum Encounters Seminar -- Quantum Information, Condensed Matter, Quantum Field Theory

Topological Phases of Discrete Time Evolution

by Prof. Jeongwan Haah (Microsoft Research)

Europe/Paris
Zoom Réunion

Zoom Réunion

Description

In the Heisenberg picture of quantum mechanics, time evolution is a one-parameter family of automorphisms of operator algebra. Restricted to short times the equivalence between time evolution and quantum circuits, especially the property that it maps a local operator to another, has been implanted in theoretical studies of topological phases of matter. In this talk, I will explain recent findings that not all locality-preserving automorphisms, also called quantum cellular automata, can be written as quantum circuits --- there exists a "discrete time dynamics" that cannot have a "Hamiltonian." These are tightly related to static, topological many-body states. I will give results on the classification of these automorphisms, and connect them to locally generated subalgebras in one lower dimension.

Participer à la réunion Zoom
https://us02web.zoom.us/j/83786264059?pwd=Nk81UDhlT3JLSDFkd29KY0NUMFYvZz09

ID de réunion : 837 8626 4059
Code secret : 051224

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Organized by

Vasily Pestun & Slava Rychkov