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arXiv:2009.02426 · Physics Letters A

How fast is a quantum jump?

Luis de la Peña, Ana Marı́a Cetto, Andrea Valdés-Hernández

Published Sep 14, 2020• 4 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2020.126880

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We are interested by the behaviour of a 1D single heavy particle, interacting with an environment made of very fast particles in a thermal state. Assuming that the interactions are instantaneous, we construct an appropriate quantum jump process for the density operator of the heavy particle. In a weak-coupling limit (many interactions with few effect), we show that the solutions of jump process converge in law in the appropriate space towards the solution of a Lindbald master equation. To the best of our knowledge, it seems to be the first rigorous derivation of a dissipative quantum evolution equation.