Environment induced decoherence, classicality and consistency of quantum histories
Apr, 199332 pages
Published in:
- Phys.Rev.D 48 (1993) 2728-2738
e-Print:
- gr-qc/9304031 [gr-qc]
Report number:
- LA-UR-93-1415
Citations per year
Abstract: (arXiv)
We prove that for an open system, in the Markovian regime, it is always possible to construct an infinite number of non trivial sets of histories that exactly satisfy the probability sum rules. In spite of being perfectly consistent, these sets manifest a very non--classical behavior: they are quite unstable under the addition of an extra instant to the list of times defining the history. To eliminate this feature --whose implications for the interpretation of the formalism we discuss-- and to achieve the stability that characterizes the quasiclassical domain, it is necessary to separate the instants which define the history by time intervals significantly larger than the typical decoherence time. In this case environment induced superselection is very effective and the quasiclassical domain is characterized by histories constructed with ``pointer projectors''.- quantization
- time
- phase space
- statistics
- density matrix
- coherence: decoherence
- approximation: semiclassical
- numerical calculations
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