Decoherence, wave function collapses and non-ordinary statistical mechanics

Details Decoherence, wave function collapses and non-ordinary statistical mechanics Decoherence, wave function collapses and non-ordinary statistical mechanics

2002-05-02

arxiv.org/abs/cond-mat/0205045v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We consider a toy model of pointer interacting with a 1/2-spin system, whose $\sigma_{x}$ variable is \emph{measured} by the environment, according to the prescription of decoherence theory. If the environment measuring the variable $\sigma_{x}$ yields ordinary statistical mechanics, the pointer sensitive to the 1/2-spin system undergoes the same, exponential, relaxation regardless of whether real collapses or an entanglement with the environment, mimicking the effect of real collapses, occur. In the case of non-ordinary statistical mechanics the occurrence of real collapses make the pointer still relax exponentially in time, while the equivalent picture in terms of reduced density matrix generates an inverse power law relaxation.

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