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Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
We present an overview of our studies on the nonequilibrium dynamics of
quantum systems that have many interacting particles. Our emphasis is on
systems that show strong level repulsion, referred to as chaotic systems. We
discuss how full random matrices can guide and support our studies of realistic
systems. We show that features of the dynamics can be anticipated from a
detailed analysis of the spectrum and the structure of the initial state
projected onto the energy eigenbasis. On the other way round, if we only have
access to the dynamics, we can use it to infer the properties of the spectrum
of the system. Our focus is on the survival probability, but results for other
observables, such as the spin density imbalance and Shannon entropy are also
mentioned.Comment: 14 pages, 7 figures, chapter for the book "Thermodynamics in the
Quantum Regime - Recent Progress and Outlook
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