Geodesic
Feynman--Chernoff iterations and their applications in quantum dynamics
Informatics and Automation, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 209-218

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The notion of Chernoff equivalence for operator-valued functions is generalized to the solutions of quantum evolution equations with respect to the density matrix. A semigroup is constructed that is Chernoff equivalent to the operator function arising as the mean value of random semigroups. As applied to the problems of quantum optics, an operator is constructed that is Chernoff equivalent to a translation operator generating coherent states.
Keywords: Feynman formulas, Chernoff equivalence, averaging of quantum semigroups, coherent states.
Mots-clés : Liouville equation 
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     author = {Yu. N. Orlov and V. Zh. Sakbaev},
     title = {Feynman--Chernoff iterations and their applications in quantum dynamics},
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Yu. N. Orlov; V. Zh. Sakbaev. Feynman--Chernoff iterations and their applications in quantum dynamics. Informatics and Automation, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 209-218. http://geodesic.mathdoc.fr/item/TRSPY_2018_301_a14/