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At least to me, it is unclear what it means to be "measured by the environment". As far as decoherence is concerned the situation is however quite clear. Already the original "einselection" framework of Zurek is applicable to bipartite system/environment scenarios. Let $(| p\rangle)_p$ be a "pointer basis" for the system. Then any Hamiltonian of the form ...


I wrote a paper (review) on arxiv on decoherence and decoherence in complex systems for those "Can we advance macroscopic quantum systems outside the framework of complex decoherence theory?" `http://arxiv.org/abs/1312.7835 www.markbrezinskimdphd.com

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