On the BCH formula of Rezek and Kosloff

2010/12/06 by Jan Naudts, Winny O’Kelly de Galway, Winny O'Kelly de Galway · 6 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algebra over a field #Algorithm #Argument (complex analysis) #Arithmetic #BCH code #Chemistry #Decoding methods #Discrete mathematics #Mathematics #Pure mathematics #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1016/j.physa.2011.04.035

published in Physica A Statistical Mechanics and its Applications 390(20), 3317-3319 (Elsevier BV) · 6 pages

arxiv created 2010/12/06 · openalex publication_date 2011/05/08 · arxiv updated 2015/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Unitary relation between a harmonic oscillator of time-dependent frequency and a simple harmonic oscillator with and without an inverse-square potential
• Analytic solutions for a three-level system in a time-dependent field