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Decoherence, Anti-Decoherence, and Fisher Information
A.M. Kowalski (Comisión de Investigaciones Científicas, Universidad Nacional de La Plata), Angelo Plastino (Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Científico Tecnológico - La Plata)
Résumé : In this work, we study quantum decoherence as reflected by the dynamics of a system that accounts for the interaction between matter and a given field. The process is described by an important information geometry tool: Fisher’s information measure (FIM). We find that it appropriately describes this concept, detecting salient details of the quantum–classical changeover (qcc). A good description of the qcc report can thus be obtained; in particular, a clear insight into the role that the uncertainty principle (UP) plays in the pertinent proceedings is presented. Plotting FIM versus a system’s motion invariant related to the UP, one can also visualize how anti-decoherence takes place, as opposed to the decoherence process studied in dozens of papers. In Fisher terms, the qcc can be seen as an order (quantum)–disorder (classical, including chaos) transition.