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arXiv · 1711.09997

Quantum Kac's Chaos

George Androulakis·Rade Musulin
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Abstract

We study the notion of quantum Kac's chaos which was implicitly introduced by Spohn and explicitly formulated by Gottlieb. We prove the analogue of a result of Sznitman which gives the equivalence of Kac's chaos to 2-chaoticity and to convergence of empirical measures. Finally we give a simple, different proof of a result of Spohn which states that chaos propagates with respect to certain Hamiltonians that define the evolution of the mean field limit for interacting quantum systems.

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George Androulakis, Rade Musulin. 2019-05-12. Quantum Kac's Chaos. https://doi.org/10.4310/cms.2018.v16.n7.a3

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