Eigenstate thermalization, quantum designs and free probability

Add to your list(s) Download to your calendar using vCal

• Jorge Kurchan (Ecole Normale Superieure, lpens, Paris, France)
• Thursday 14 September 2023, 14:00-15:00
• TCM Seminar Room.

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

The Eigenstate Thermalization Hypothesis needs to be completed to take into account higher correlators, for example to compute out of time order operators (OTOCs). Once this is done, a Pandora’s box of contributions is opened. As it turns out, the instrument for organizing this has been around for a few decades: it is the technique of Free Probability. Once Free Probability is taken on board, one finds an immediate connection with Unitary Designs, a construction of a set of unitary matrices that can be taken as a proxy for the whole unitary group, a subject that has attracted considerable interest in quantum information.

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

This talk is included in these lists:

• All Cavendish Laboratory Seminars
• All Talks (aka the CURE list)
• Centre for Health Leadership and Enterprise
• Combined TCM Seminars and TCM blackboard seminar listing
• Featured lists
• Lennard-Jones Centre external
• ME Seminar
• Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
• PMRFPS's
• School of Physical Sciences
• TCM Seminar Room
• Theory of Condensed Matter
• Thin Film Magnetic Talks
• few29

Note that ex-directory lists are not shown.