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Some aspects in many-body quantum dynamics: from multi-channel Kondo impurities to entanglement transition in SU(1,1) periodically driven systems

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Quantum dynamics plays an essential role in many-body systems. It not only describes the time evolutions of observable quantities but also reveals how information is processed in the quantum systems. In this talk, we first demonstrate some universal properties of the evolution of entanglement spectra under generic quantum dynamics, providing a deeper understanding of quantum thermalization. Secondly, we investigate the transient dynamics and long-time quasi-equilibrium properties in multi-channel Kondo impurity systems using the large-N Schwinger-Keldysh approach. We observe the prethermalization in these systems, in which the effective temperatures between the impurity spin and the composite boson are different. Lastly, we show that by using the SU(1,1) algebra, we can define non-equilibrium phases in terms of entanglement properties. We provide examples such as Bose-Einstein Condensate (BEC) quench dynamics and periodically driven quantum oscillators.

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

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