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

Topological Phases of Discrete Time Evolution

by Prof. Jeongwan Haah (Microsoft Research)

Zoom Réunion

Zoom Réunion


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.

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ID de réunion : 837 8626 4059
Code secret : 051224

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Organized by

Vasily Pestun & Slava Rychkov