679653 event 1737037241 1737475252 <![CDATA[CMO / AMO Seminar - Speaker Carolyn Zhang]]> Speaker: Dr. Carolyn Zhang

Host: Prof. Zhu-Xi Luo

Title: Thermalization rates and anomalous relaxation from operator hydrodynamics

 

]]> Abstract: In thermalizing systems without conservation laws, such as Floquet and random unitary circuits, autocorrelation functions of local operators are expected to decay exponentially. We use a simple hydrodynamical picture for operator spreading to relate this rate to properties of the unitary dynamics. The hydrodynamical picture also allows us to argue that this rate is encoded in the leading eigenvalue of a dynamical map obtained by enriching the unitary dynamics with weak dissipation, if we take the thermodynamic limit before taking the dissipation rate to zero. Curiously, this order of limits does not recover unitary dynamics, and has been studied under the name "anomalous relaxation."

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