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Physica A, Statistical and Theoretical Physics

Publication date: 2011-10
Volume: 390 Pages: 3317 - 3319
ISSN: 0378-4371, 1873-2119
DOI: 10.1016/j.physa.2011.04.035


Naudts, Jan
O'Kelly de Galway, Winny


Baker–Campbell–Hausdorff formula; Quantum heat engine; Lie algebras; Density matrix, 0105 Mathematical Physics, 0206 Quantum Physics, Fluids & Plasmas


The BCH formula of Rezek and Kosloff (2006) [10] is a convenient tool to handle a family of density matrices, which occurs in the study of quantum heat engines. We prove the formula using a known argument from Lie theory.