Non-Markovian master equation for a damped driven two-state system

Pinja Haikka

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Non-Markovian master equation for a damped driven two-state system

Pinja Haikka

Quantum Physics · Submitted 24 Nov 2009

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

The authors' main claim We present a detailed microscopic derivation for a non-Markovian master equation for a driven two-state system interacting with a general structured reservoir.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.14 · mentions code or data availability 0.02.

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We present a detailed microscopic derivation for a non-Markovian master equation for a driven two-state system interacting with a general structured reservoir. The master equation is derived using the time-convolutionless projection operator technique in the limit of weak coupling between the two-state quantum system and its environment. We briefly discuss the Markov approximation, the secular approximation and their validity.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present a detailed microscopic derivation for a non-Markovian master equation for a driven two-state system interacting with a general structured reservoir.	contribution 1.00	0.96	0.43	asserted 1.00
s1	The master equation is derived using the time-convolutionless projection operator technique in the limit of weak coupling between the two-state quantum system and its environment.	method 0.99	0.95	0.15	asserted 1.00
s2	We briefly discuss the Markov approximation, the secular approximation and their validity.	contribution 0.40	0.68	0.05	unclear 0.63

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We present a detailed microscopic derivation for a non-Markovian master equation for a driven two-state system interacting with a general structured reservoir. The master equation is derived using the time-convolutionless projection operator technique in the limit of weak coupling between the two-state quantum system and its environment. We briefly discuss the Markov approximation, the secular approximation and their validity.

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1 arXiv paper cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Uses its method or tool 1 paper

This can be achieved by the substitution of $ρ̃_T(t')→ρ̃_T(t)$ in the second term on the right hand side of the equal sign of Eq. ([ref]) [ref] .

Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem · Evolution equations in the weak system-environment coupling limit · 0.93

Cites it as background 1 paper

The perturbative non-Markovian open quantum system theory may be categorized into two classes: the time-nonlocal (or time-convolution) [ref] and the time-local (or time-convolutionless) [ref] methods.

Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem · Time-nonlocal and time-local quantum master equations · 0.99

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