Decoherent Histories and the Emergent Classicality of Local Densities

Details Decoherent Histories and the Emergent Classicality of Local Densities Decoherent Histories and the Emergent Classicality of Local Densities

1999-05-27

arxiv.org/abs/quant-ph/9905094v4

Phys.Rev.Lett. 83 (1999) 2481

Physics

Quantum Physics

12 pages, plain Tex, third revision with new, PRL-friendly Title (previously released as ``Histories of Local Densities Don't

Scientific paper

10.1103/PhysRevLett.83.2481

In the context of the decoherent histories approach to quantum theory, it is shown that a class of macroscopic configurations consisting of histories of local densities (number, momentum, energy) exhibit negligible interference. This follows from the close connection of the local densities with the corresponding exactly conserved (and so exactly decoherent) quantities, and also from the observation that the eigenstates of local densities (averaged over a sufficiently large volume) remain approximate eigenstates under time evolution. The result is relevant to the derivation of hydrodynamic equations using the decoherent histories approach.

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