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Work fluctuation theorem for a classical circuit coupled to a quantum conductor
Mesoscale and Nanoscale Physics · Submitted 8 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We prove that this definition is consistent with the work fluctuation theorem.
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The abstract, sentence by sentence
We propose a setup for a quantitative test of the quantum fluctuation theorem. It consists of a quantum conductor, driven by an external voltage source, and a classical inductor-capacitor circuit. The work done on the system by the voltage source can be expressed by the classical degrees of freedom of the LC circuit, which are measurable by conventional techniques. In this way the circuit acts as a classical detector to perform measurements of the quantum conductor. We prove that this definition is consistent with the work fluctuation theorem. The system under consideration is effectively described by a Langevin equation with non-Gaussian white noise. Our analysis extends the proof of the fluctuation theorem to this situation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a setup for a quantitative test of the quantum fluctuation theorem. | contribution 1.00 | 0.87 | 0.11 | asserted 0.83 |
| s1 | It consists of a quantum conductor, driven by an external voltage source, and a classical inductor-capacitor circuit. | method 0.79 | 0.35 | 0.03 | asserted 1.00 |
| s2 | The work done on the system by the voltage source can be expressed by the classical degrees of freedom of the LC circuit, which are measurable by conventional techniques. | method 0.92 | 0.59 | 0.08 | asserted 0.99 |
| s3 | In this way the circuit acts as a classical detector to perform measurements of the quantum conductor. | interpretation 0.46 | 0.44 | 0.10 | asserted 1.00 |
| s4 | We prove that this definition is consistent with the work fluctuation theorem. | result 0.84 | 0.94 | 0.52 | asserted 0.99 |
| s5 | The system under consideration is effectively described by a Langevin equation with non-Gaussian white noise. | method 0.85 | 0.74 | 0.06 | asserted 1.00 |
| s6 | Our analysis extends the proof of the fluctuation theorem to this situation. | contribution 0.86 | 0.91 | 0.26 | asserted 1.00 |
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The paper
Original abstract
We propose a setup for a quantitative test of the quantum fluctuation theorem. It consists of a quantum conductor, driven by an external voltage source, and a classical inductor-capacitor circuit. The work done on the system by the voltage source can be expressed by the classical degrees of freedom of the LC circuit, which are measurable by conventional techniques. In this way the circuit acts as a classical detector to perform measurements of the quantum conductor. We prove that this definition is consistent with the work fluctuation theorem. The system under consideration is effectively described by a Langevin equation with non-Gaussian white noise. Our analysis extends the proof of the fluctuation theorem to this situation.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 4 sentences without a confident label
Cites as background 2 papers
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In this case the work $W$ is defined as a difference between the final and initial energies of the quantum system [ref] .
A Quantum Fluctuation Theorem · introduction · 0.83
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In this case the work $W$ is defined as a difference between the final and initial energies of the quantum system [ref] .
Jarzynski Relations for Quantum Systems and Some Applications · introduction · 0.83
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