Condensed Matter Theory Seminar | March 28, 14:00
Quantum circuit models for free independence
In chaotic many-body dynamics the relaxation of local correlation functions to equilibrium is generally understood through the framework of the Eigenstate Thermalization Hypothesis (ETH). An extension of ETH to out-of-time-order correlation functions has been recently proposed, based on the language of free probability, in which relaxation can be understood as operators becoming freely independent. In this talk I will discuss a minimal model in which this approach to free independence can be understood as a Markovian process. These results shed light on the appearance of two-step relaxation mechanisms and generalize the influence matrix approach to out-of-time-order correlation functions, and can be directly applied to more realistic models of many-body quantum dynamics.
MPI-PKS
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Contact: Xhek Turkeshi