The statistical properties of eigenstates in chaotic many-body quantum systems

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• John Chalker (Oxford)
• Thursday 25 January 2024, 14:00-15:00
• TCM Seminar Room.

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

In chaotic systems it is generally useful only to specify statistical properties of eigenstates, rather than specific features of a particular state in an individual system. These properties can often be elucidated by thinking about the dynamics of a wavepacket evolving from a suitable simple initial state. For many-body chaotic systems, the standard statistical characterisation is known as the eigenstate thermalisation hypothesis (ETH). It has been clear for a few years, however, that ETH is incomplete in the sense that it does not encode correlations that describe the dynamics of quantum information in spatially extended systems. I will give an introduction to this area, from single-particle examples to ETH . I will then outline recent work to characterise correlations beyond ETH .

Joint work with Dominik Hahn and David Luitz: https://arxiv.org/pdf/2309.12982.pdf

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

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