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Title:
Thermalization through the lens of an entanglement entropy
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Abstract:
Thermalization in an isolated system is a foundational problem in statistical physics. The time evolution of entanglement entropy provides insight into this process. Most conventional methods are not applicable to this problem, however gauge/gravity duality allows for progress by mapping special out-of-equilibrium quantum systems to collapsing black holes in general relativity. In this talk, I derive an effective theory for entanglement dynamics from gauge/gravity duality that is akin to hydrodynamics, and present strong evidence that it is universally valid in chaotic systems. I discuss the interplay between this effective theory and hydrodynamics and chaotic operator growth. I conclude with some outstanding problems this new theory may help to solve.
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