2005/10/12 by Adrián A. Budini, Adrian A. Budini · 2 citations
Mathematics · Physics and Astronomy · #Computer science #Fractional Differential Equations Solutions #Mathematics #Physics #Statistical Mechanics and Entropy #Statistical physics #Theoretical and Computational Physics #quant-ph
paper · pdf · doi:10.1103/physreve.72.056106
published as Phys. Rev E 72, 056106 (2005) · 11 pages, 4 figures, to be published in PRE
arxiv created 2005/10/12 · openalex publication_date 2005/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we demonstrate that Lindblad equations characterized by a random rate variable arise after tracing out a complex structured reservoir. Our results follows from a generalization of the Born-Markov approximation, which relies on the possibility of splitting the complex environment into a direct sum of subreservoirs, each one being able to induce by itself a Markovian system evolution. Strong non-Markovian effects, which microscopically originate from the entanglement with the different subreservoirs, characterize the average system decay dynamics. As an example, we study the anomalous irreversible behavior of a quantum tunneling system described in an effective two-level approximation. Stretched exponential and power law decay behaviors arise from the interplay between the dissipative and unitary hopping dynamics.