English

On the evolution of quantum non-equilibrium in expanding systems

Quantum Physics 2020-06-16 v1

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.

Keywords

Cite

@article{arxiv.2006.07840,
  title  = {On the evolution of quantum non-equilibrium in expanding systems},
  author = {Samuel Colin},
  journal= {arXiv preprint arXiv:2006.07840},
  year   = {2020}
}

Comments

8 page, 10 figures