On the BCH formula of Rezek and Kosloff
Jan Naudts, Winny O'Kelly de Galway
TL;DR
This paper proves the BCH formula of Rezek and Kosloff, a useful tool for analyzing density matrices in quantum heat engines, using established Lie theory methods.
Contribution
It provides a rigorous proof of the BCH formula specific to quantum heat engine density matrices, clarifying its theoretical foundation.
Findings
The BCH formula is validated for quantum heat engine states.
The proof employs classical Lie theory techniques.
The result enhances the mathematical understanding of quantum thermodynamics.
Abstract
The BCH formula of Rezek and Kosloff 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.
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