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Mathematical and Theoretical Physics Seminar: Topological Floquet systems and their boundaries: response theory and quantum anomalies

Speaker Shinsei Ryu, Princeton
Date: 3/11/2021
Time: 1 p.m.
Location: via Zoom
Event Contact: Janice Benner
jbenner@illinois.edu
Sponsor: The Physics Department & The Math Department
Event Type: Seminar/Symposium
 

Boundary theories of static bulk topological phases of matter are obstructed in the sense that they cannot be realized on their own as isolated systems. The obstruction can be quantified/characterized by quantum anomalies, in particular when there is a global symmetry. Similarly, topological Floquet evolutions can realize obstructed unitary operators at their boundaries. In this talk, we discuss the characterization of such obstructions by using quantum anomalies. As a particular example, we discuss time-reversal symmetric boundary unitary operators in one and two spatial dimensions, where the anomaly emerges as we gauge the so-called Kubo-Martin-Schwinger (KMS) symmetry. We also discuss mixed anomalies between particle number conserving U(1) symmetry and discrete symmetries, such as C and CP, for unitary operators in odd spatial dimensions that can be realized at the boundaries of topological Floquet systems in even spatial dimensions.

 

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