Operator Correlations and Quantum Regression Theorem in Non-Markovian Lindblad Rate Equations

2006/01/31 by Adrián A. Budini, Adrian A. Budini · 3 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1007/s10955-007-9476-9

published as J. Stat. Phys. 131, 51 (2008) · 14 pages, 5 figures. Extended version. The GBMA is deduced from projector technique. A new appendix is added

arxiv created 2006/03/13 · openalex publication_date 2008/01/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov approximation, which allows us to obtain our results from an underlying Hamiltonian description. We demonstrate that a non-Markovian quantum regression theorem can only be granted in a stationary regime if the dynamics satisfies a quantum detailed balance condition. As an example we study the correlations of a two level system embedded in a complex structured reservoir and driven by an external coherent field.

Citations

• Strong localization of photons in certain disordered dielectric superlattices
• Completely positive post-Markovian master equation via a measurement approach
• Quantum-state engineering with Josephson-junction devices
• Inhibited Spontaneous Emission in Solid-State Physics and Electronics

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