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

Quantum Physics · Submitted 2 Dec 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv IDquant-ph/0412020 (version 2)
Pith IDJSEODIF2, Pith's permanent record of this paper and its review
CitationAdrian A. Budini, Henning Schomerus. "Non-Markovian master equations from entanglement with stationary unobserved degrees of freedom." arXiv:quant-ph/0412020 (2004). https://pith.science/paper/JSEODIF2
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arXiv listing abstract v2. Results and the main claim are underlined; .

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 behavior can arise, as for example power law and stretched exponential decays.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. contribution 0.97 0.94 0.74 asserted 1.00
s1 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. result 0.66 0.72 0.33 asserted 0.83
s2 By considering the extra degrees of freedom as a discrete manifold of energy levels, strong non-exponential behavior can arise, as for example power law and stretched exponential decays. result 0.86 0.68 0.12 hedged possibility 0.73

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Original 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 behavior can arise, as for example power law and stretched exponential decays.

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