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

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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:

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

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