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On state equations of two‐level quantum systems in a thermal environment
Author(s) -
Civalleri Pier Paolo,
Gilli Marco
Publication year - 2004
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.298
Subject(s) - infinitesimal , diagonal , representation (politics) , state (computer science) , dissipation , quantum , matrix representation , quantum system , matrix (chemical analysis) , coupling (piping) , field (mathematics) , thermal , mathematics , physics , pure mathematics , statistical physics , quantum mechanics , mathematical analysis , engineering , law , algorithm , geometry , mechanical engineering , politics , group (periodic table) , materials science , meteorology , composite material , political science
Abstract The state equations of open two‐level quantum systems, which form the building blocks of quantum cellular neural networks, are studied in arbitrary representations. It is shown that the dissipation matrix, that under the usual assumptions is diagonal in the energy representation, such remains if and only if the coupling between the states induced by an external field is real and infinitesimal. Copyright © 2004 John Wiley & Sons, Ltd.