Solvable quantum circuits: Insights into interacting integrable dynamics
Katja Klobas (University of Birmingham)
Tuesday 28th October 16:00-17:00
Maths 311B
Abstract
Under very general conditions, a quantum many-body system initialized in a non-equilibrium state exhibits a linear growth of entanglement, followed by its saturation to an extensive value. Recently it was understood that the two regimes can be related to each other through the so-called "space-time duality": the slope of the entanglement growth can be interpreted as the stationary density of the model obtained by formally swapping the roles of space and time. In this talk I will discuss a solvable example, where this mapping can be performed exactly. This allows us to independently test the predictions for the slope of the growth of entanglement entropies and their symmetry-resolved generalisations, such as full counting statistics.
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