Journal Title

Physical Review A

Publication Date

2005

Abstract

The "self-induced decoherence" (SID) approach suggests that (1) the expectation value of any observable becomes diagonal in the eigenstates of the total Hamiltonian for systems endowed with a continuous energy spectrum, and (2), that this process can be interpreted as decoherence. We evaluate the first claim in the context of a simple spin bath model. We find that even for large environments, corresponding to an approximately continuous energy spectrum, diagonalization of the expectation value of random observables does in general not occur. We explain this result and conjecture that SID is likely to fail also in other systems composed of discrete subsystems. Regarding the second claim, we emphasize that SID does not describe a physically meaningful decoherence process for individual measurements, but only involves destructive interference that occurs collectively within an ensemble of presupposed "values" of measurements. This leads us to question the relevance of SID for treating observed decoherence effects.

Subjects

Energy levels (Quantum mechanics); Quantum theory

Publication Information

Copyright 2005 American Physical Society. The original published version of this article may be found at http://dx.doi.org/10.1103/PhysRevA.72.012109.

DOI

10.1103/PhysRevA.72.012109

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Physics Commons

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