Nonextensive approach to decoherence in quantum mechanics
arXiv:quant-ph/0002071 · doi:10.1016/S0375-9601(00)00820-3
Abstract
We propose a nonextensive generalization (q parametrized) of the von Neumann equation for the density operator. Our model naturally leads to the phenomenon of decoherence, and unitary evolution is recovered in the limit of q -> 1. The resulting evolution yields a nonexponential decay for quantum coherences, fact that might be attributed to nonextensivity. We discuss, as an example, the loss of coherence observed in trapped ions.
4 pages, RevTeX, 1 figure We have corrected a problem with the figures' file as well as a few misprints
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Cited by in corpus (5)
- Foundations of quantum theory and quantum information applications
- Average Entropy of a Subsystem from its Average Tsallis Entropy
- Quantum Zeno-like effect due to competing decoherence mechanisms
- Thermal entanglement of Hubbard dimers in the nonextensive statistics
- Zubarev nonequilibrium statistical operator method in Renyi statistics. Reaction-diffusion processes