On the evolution of quantum non-equilibrium in expanding systems

• URL: http://arxiv.org/abs/2006.07840v1
• Date: Sun, 14 Jun 2020 08:25:29 GMT
• Title: On the evolution of quantum non-equilibrium in expanding systems
• Authors: Samuel Colin
• Abstract summary: We study quantum ensembles in which the Born Law is initially violated (quantum non-equilibrium) We show examples of such ensembles that start close to quantum equilibrium, as measured by the standard coarse-grained H-function, but diverge from it with time.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a particle confined in a uniformly expanding two-dimensional square box from the point of the view of the de Broglie-Bohm pilot-wave theory. In particular we study quantum ensembles in which the Born Law is initially violated (quantum non-equilibrium). We show examples of such ensembles that start close to quantum equilibrium, as measured by the standard coarse-grained H-function, but diverge from it with time. We give an explanation of this result and discuss the possibilities that it opens.

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