2007/07/31 by Roland Doll, David Zueco, Martijn Wubs +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Equivalence (formal languages) #Exact solutions in general relativity #Gaussian #Master equation #Mathematical physics #Mathematics #Phase (matter) #Phase space #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1016/j.chemphys.2007.09.003
published as Chem. Phys. 347, 243-249 (2008) · 7 pages; revised version; to appear in Chem. Phys
arxiv created 2007/09/05 · openalex publication_date 2007/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system-bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be mapped to a Gaussian phase-space distribution function. Moreover, we discuss the relation to the standard Bloch-Redfield approach.