On the statistics of quantum expectations for systems in thermal equilibrium

Details On the statistics of quantum expectations for systems in thermal equilibrium On the statistics of quantum expectations for systems in thermal equilibrium

2006-03-27

arxiv.org/abs/quant-ph/0603245v1

AIP Conf.Proc.844:200-205,2006

Physics

Quantum Physics

6 pages, 2 figures, contribution to Quantum Jumps Conference

Scientific paper

10.1063/1.2219363

The recent remarkable developments in quantum optics, mesoscopic and cold atom physics have given reality to wave functions. It is then interesting to explore the consequences of assuming ensembles over the wave functions simply related to the canonical density matrix. In this note we analyze a previously introduced distribution over wave functions which naturally arises considering the Schroedinger equation as an infinite dimensional dynamical system. In particular, we discuss the low temperature fluctuations of the quantum expectations of coordinates and momenta for a particle in a double well potential. Our results may be of interest in the study of chiral molecules.

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