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Scaling laws for spreading the quantum information

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

I will describe minimal models for many-body quantum dynamics which allow analytical results for the growth of quantum entanglement and for the spreading of quantum operators in the Heisenberg picture (the quantum ‘butterfly effect’). These minimal models are random quantum circuits. I will describe mappings to paradigmatic problems in classical statistical mechanics, for example the Kardar-Parisi-Zhang equation, and our conjectures for universal scaling forms in generic non-integrable models.

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

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