Shreya Vardhan

Stanford University

Emergence and breakdown of the membrane picture in Brownian models

QFT/Holography Seminar

11th March 2024, 5:00 pm – 6:00 pm
Fry Building, 4th Floor Seminar Room

It has previously been observed that the evolution of entanglement entropies and OTOCs in systems ranging from random unitary circuits to holographic CFTs can be understood within a common framework known as the “membrane picture.” In this talk, we consider a class of Brownian local evolutions, where the Lorentzian evolution of the system on multiple copies can be equivalently described by Euclidean evolution with a “superhamiltonian” on multiple copies. We identify generic properties of the low-energy modes of the superhamiltonian which lead to the emergence of the membrane picture. We further discuss the breakdown of the membrane picture in integrable systems and systems with conserved quantities due to differences in the low-energy spectrum of the superhamiltonian.

Organisers: Vaios Ziogas, Mike Blake

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