Journal of Operator Theory

Volume 72, Issue 2, Fall 2014 pp. 293-312.

Ergodic quantum Markov semigroups and decoherence

Authors: R. Carbone (1), E. Sasso (2), and V. Umanita (3)
Author institution: (1) Dipartimento di Matematica dell'Universita di Pavia, via Ferrata 1, Pavia, 27100, Italy
(2) Dipartimento di Matematica dell'Universita di Genova, via Dodecaneso 35, Genova, 16146, Italy
(3) Dipartimento di Matematica dell'Universita di Genova, via Dodecaneso 35, Genova, 16146, Italy

Summary: We study the relationships between ergodicity and environment induced decoherence for quantum Markov semigroups on a von Neumann algebra. We show that these properties are equivalent when the set of fixed points is an algebra containing the maximal subalgebra on which the semigroup is authomorphic.

DOI: http://dx.doi.org/10.7900/jot.2013jan29.1992
Keywords: decoherence, ergodicity, quantum Markov semigroups

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