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Mathematical and Theoretical Physics Seminar: Claire Zukowski (University of Minnesota) "State-Changing Modular Berry Phases"

Event Type
Seminar/Symposium
Sponsor
The Physics Department
Location
Loomis 222
Date
Apr 14, 2023   4:00 pm  
Speaker
Claire Zukowski
Contact
Brandy Koebbe
E-Mail
bkoebbe@illinois.edu
Views
29
Originating Calendar
Physics - Mathematical and Theoretical Physics Seminar

I will describe the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In two dimensions this arises from the action of suitable diffeomorphisms on the circle. In general dimensions, it comes from deforming states that are prepared by the Euclidean path integral. The Berry curvature associated to state-changing parallel transport is the Kirillov-Kostant symplectic form on an associated coadjoint orbit. I will show that its bulk dual is an appropriately defined bulk symplectic form. We will compare with related results in the literature that use different definitions of parallel transport, and also highlight the distinctions between two and higher dimensions.

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