Quantum measurements without macroscopic superpositions

Details Quantum measurements without macroscopic superpositions Quantum measurements without macroscopic superpositions

2007-11-06

arxiv.org/abs/0711.0943v2

Physical Review A, vol. 77, 052114 (2008)

Physics

Quantum Physics

50 pages, 5 figures, changed content

Scientific paper

10.1103/PhysRevA.77.052114

We study a class of quantum measurement models. A microscopic object is entangled with a macroscopic pointer such that each eigenvalue of the measured object observable is tied up with a specific pointer deflection. Different pointer positions mutually decohere under the influence of a bath. Object-pointer entanglement and decoherence of distinct pointer readouts proceed simultaneously. Mixtures of macroscopically distinct object-pointer states may then arise without intervening macroscopic superpositions. Initially, object and apparatus are statistically independent while the latter has pointer and bath correlated according to a metastable local thermal equilibrium. We obtain explicit results for the object-pointer dynamics with temporal coherence decay in general neither exponential nor Gaussian. The decoherence time does not depend on details of the pointer-bath coupling if it is smaller than the bath correlation time, whereas in the opposite Markov regime the decay depends strongly on whether that coupling is Ohmic or super-Ohmic.

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