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Interaction of a quantum field with a rotating heat bath
Quantum Physics · Submitted 21 Feb 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For bosons, this leads to superradiance, an irreversible process in which some of the bath's kinetic energy is extracted by spontaneous and stimulated emission.
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The abstract, sentence by sentence
The linear coupling of a rotating heat bath to a quantum field is studied in the framework of the Markovian master equation for the field's non-unitary time evolution. The bath's rotation induces population inversion for the field's low-energy modes. For bosons, this leads to superradiance, an irreversible process in which some of the bath's kinetic energy is extracted by spontaneous and stimulated emission. We find the energy and entropy balance for such systems and apply our results to the theory of black hole radiation. We also comment on how this relates to classical self-oscillations, including shear flow instabilities in hydrodynamics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The linear coupling of a rotating heat bath to a quantum field is studied in the framework of the Markovian master equation for the field's non-unitary time evolution. | contribution 0.61 | 0.82 | 0.05 | asserted 0.96 |
| s1 | The bath's rotation induces population inversion for the field's low-energy modes. | result 1.00 | 0.61 | 0.37 | asserted 1.00 |
| s2 | For bosons, this leads to superradiance, an irreversible process in which some of the bath's kinetic energy is extracted by spontaneous and stimulated emission. | interpretation 0.66 | 0.31 | 0.35 | asserted 1.00 |
| s3 | We find the energy and entropy balance for such systems and apply our results to the theory of black hole radiation. | contribution 0.90 | 0.93 | 0.16 | asserted 1.00 |
| s4 | We also comment on how this relates to classical self-oscillations, including shear flow instabilities in hydrodynamics. | interpretation 0.85 | 0.57 | 0.04 | unclear 0.66 |
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The paper
Original abstract
The linear coupling of a rotating heat bath to a quantum field is studied in the framework of the Markovian master equation for the field's non-unitary time evolution. The bath's rotation induces population inversion for the field's low-energy modes. For bosons, this leads to superradiance, an irreversible process in which some of the bath's kinetic energy is extracted by spontaneous and stimulated emission. We find the energy and entropy balance for such systems and apply our results to the theory of black hole radiation. We also comment on how this relates to classical self-oscillations, including shear flow instabilities in hydrodynamics.
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References
How the literature uses it
5 arXiv papers cite this in 12 sentences
Papers citing it · 6 sentences without a confident label
Builds on it 2 papers
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This extends and applies previous work by the authors on formulating superradiance and related processes in terms of quantum fields coupled to moving baths [ref] .
Quantum thermodynamics of coronal heating · Introduction · 1.00
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Boosts with respect to this frame break the KMS condition of eq:KMS due to Doppler shifts of the mode frequencies, so that the bath will not appear in equilibrium (the results of [ref] , in which Doppler shifts were introduced by rotational motion, can be easily extended to linear motion).
Quantum thermodynamics of de Sitter space · de Sitter vacuum as heat bath · 0.91
Compares with it 2 papers
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and the average complex amplitude is amplified (compare to the model of “superradiance" in [ref] )
From the GKLS equation to the theory of solar and fuel cells · A model of chemical engine/replicator · 1.00
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The formulation of eq:H is analogous to that of previous work in which the quantum thermodynamics of moving baths (including black-hole superradiance) was studied using an effective Hamiltonian shifted by rotation [ref] , with the important difference that in that case $Ĥ$ was taken to commute with the generator of rotations $L̂_z$, whereas now we do not take $Ĥ$ to commute with $D̂$.
Quantum thermodynamics of de Sitter space · Local physics in expanding space · 0.81
Cites it as background 1 paper
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Some of the physical consequences of such Doppler shifts have been studied in [ref] .
Quantum thermodynamics of de Sitter space · Open-system formalism · 0.83
What it cites · 16 sentences without a confident label
Compares with 1 paper
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Our results are consistent with those obtained in [ref] by the methods of effective quantum field theory.
A Modern Approach to Superradiance · Stable and unstable modes · 0.99
Cites as background 5 papers
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In quantum optics it is common to describe the population inversion of a lasing medium in terms of its negative local temperature (see [ref] for a general theory).
Non-equilibrium quantum heat machines · Markovian master equation · 0.94
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[ref] ] The prediction of BH superradiance motivated Hawking's subsequent discovery that a static BH must radiate thermally [ref] .[For first-hand historical accounts of this, see [ref] .]
Irreversibility of mechanical and hydrodynamic instabilities · Introduction · 0.80
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Zel'dovich's thermodynamic argument was notably refined by Bekenstein and Schiffer in [ref] .
The many faces of superradiance · Introduction · 0.83
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