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Non-equilibrium quantum-heat statistics under stochastic projective measurements
Quantum Physics · Submitted 2 May 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore, the fluctuation relation is robust against the presence of randomness in the times intervals between measurements.
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The abstract, sentence by sentence
In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times. Both quenched and annealed averages are considered. The information about fluctuations is encoded in the quantum-heat probability density function, or equivalently in its characteristic function, whose general expression for a quantum system with arbitrary Hamiltonian is derived. We prove that, when a stochastic protocol of measurements is applied, the quantum Jarzynski equality is obeyed. Therefore, the fluctuation relation is robust against the presence of randomness in the times intervals between measurements. Then, for the paradigmatic case of a two-level system, we analytically characterize the quantum-heat transfer. Particular attention is devoted to the limit of large number of measurements and to the effects caused by the stochastic fluctuations. The relation with the stochastic Zeno regime is also discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times. | contribution 0.91 | 0.52 | 0.06 | unclear 0.63 |
| s1 | Both quenched and annealed averages are considered. | method 0.90 | 0.79 | 0.03 | asserted 0.97 |
| s2 | The information about fluctuations is encoded in the quantum-heat probability density function, or equivalently in its characteristic function, whose general expression for a quantum system with arbitrary Hamiltonian is derived. | contribution 0.59 | 0.93 | 0.06 | asserted 1.00 |
| s3 | We prove that, when a stochastic protocol of measurements is applied, the quantum Jarzynski equality is obeyed. | result 1.00 | 0.92 | 0.51 | asserted 1.00 |
| s4 | Therefore, the fluctuation relation is robust against the presence of randomness in the times intervals between measurements. | interpretation 0.86 | 0.83 | 0.51 | asserted 1.00 |
| s5 | Then, for the paradigmatic case of a two-level system, we analytically characterize the quantum-heat transfer. | contribution 0.87 | 0.95 | 0.05 | asserted 0.99 |
| s6 | Particular attention is devoted to the limit of large number of measurements and to the effects caused by the stochastic fluctuations. | contribution 0.91 | 0.86 | 0.04 | unclear 0.65 |
| s7 | The relation with the stochastic Zeno regime is also discussed. | interpretation 0.49 | 0.68 | 0.04 | unclear 0.75 |
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The paper
Original abstract
In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times. Both quenched and annealed averages are considered. The information about fluctuations is encoded in the quantum-heat probability density function, or equivalently in its characteristic function, whose general expression for a quantum system with arbitrary Hamiltonian is derived. We prove that, when a stochastic protocol of measurements is applied, the quantum Jarzynski equality is obeyed. Therefore, the fluctuation relation is robust against the presence of randomness in the times intervals between measurements. Then, for the paradigmatic case of a two-level system, we analytically characterize the quantum-heat transfer. Particular attention is devoted to the limit of large number of measurements and to the effects caused by the stochastic fluctuations. The relation with the stochastic Zeno regime is also discussed.
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How the literature uses it
6 arXiv papers cite this in 7 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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Then, we discuss the conditions allowing for the validity of the fluctuation theorem in Jarzynski form $\langle e^{-\beta Q}\rangle = 1$, thus showing that the fluctuation relation is robust against the presence of randomness in the time intervals between measurements.
Energy fluctuation relations and repeated quantum measurements · 0.97
Papers citing it · 5 sentences without a confident label
Cites it as background 2 papers
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In this section, the results in [ref] about non-equilibrium quantum-heat statistics under stochastic projective measurements are discussed.
Noise as a resource · Quantum-heat · 0.81
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In addition, quantum systems with projective measurements have been studied in the context of fluctuation theorems and statistics of energy transfer between the system and the measurement apparatus [ [ref] ].
Quantum dynamics with stochastic reset · Introduction · 0.97
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