https://doi.org/10.1140/epjp/s13360-024-05654-6
Regular Article
Different theoretical aspects of the intrinsic decoherence in the Milburn formalism
1
Department of Physics, University of Qom, Ghadir Blvd., 371614-6611, Qom, Iran
2
Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006, Madrid, Spain
Received:
17
January
2024
Accepted:
13
September
2024
Published online:
3
October
2024
In this work, we consider different theoretical aspects and simple applications of the Milburn equation which is governed by a parameter controlling what is known as intrinsic decoherence. The main goal is to show some similarities also observed when external decoherence is considered. Linear entropy, Ehrenfest relations, probability density current, the Wigner representation as well as the relation to a Lindbladian master equation are analyzed in terms of this intrinsic decoherence, leading to new insights on the Milburn dynamics. Interference of two wave packets, tunneling and the bouncing ball problem are also studied under this perspective.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.