Non-Markovian master equations from entanglement with stationary unobserved degrees of freedom

2004/12/31 by Adrian A. Budini, Adrián A Budini, Henning Schomerus · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1088/0305-4470/38/42/006

published as J. Phys. A: Math. Gen. 38, 9251 (2005) · 8 pages, extensively revised and expanded, changed title, to appear in J Phys A

arxiv created 2005/09/22 · openalex publication_date 2005/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We deduce a class of non-Markovian completely positive master equations which describe a system in a composite bipartite environment, consisting of a Markovian reservoir and additional stationary unobserved degrees of freedom that modulate the dissipative coupling. The entanglement-induced memory effects can persist for arbitrary long times and affect the relaxation to equilibrium, as well as induce corrections to the quantum-regression theorem. By considering the extra degrees of freedom as a discrete manifold of energy levels, strong non-exponential behaviour can arise, such as for example power law and stretched exponential decays.

Citations

• Completely positive post-Markovian master equation via a measurement approach
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Decoherence, einselection, and the quantum origins of the classical
• Dynamics of the dissipative two-state system

Cited by

• Lindblad rate equations
• Control of non-Markovian effects in the dynamics of polaritons in semiconductor microcavities