Quantum circuits models for free independence

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• Pieter Claeys, MPIPKS Dresden
• Wednesday 12 March 2025, 11:00-12:00
• TCM Seminar Room.

If you have a question about this talk, please contact Gaurav.

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.

This talk is part of the Theory of Condensed Matter series.

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