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Taking apart squeezed light
Quantum Physics · Submitted 17 Oct 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This provides a local description of the state and its photon statistics, making the underlying physics more transparent than does the use of the Schmidt decomposition.
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The abstract, sentence by sentence
We develop a formalism to describe squeezed light with large spectral-temporal correlations. This description is valid in all regimes, but is especially applicable in the long pulse to continuous-wave limit where the photon density at any particular time is small, although the total number of photons can be quite large. Our method relies on the Whittaker-Shannon interpolation formula applied to the joint temporal amplitude of squeezed light, which allows us to "take apart" the squeezed state. This provides a local description of the state and its photon statistics, making the underlying physics more transparent than does the use of the Schmidt decomposition. The formalism can easily be extended to more exotic nonclassical states where a Schmidt decomposition is not possible.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We develop a formalism to describe squeezed light with large spectral-temporal correlations. | contribution 1.00 | 0.95 | 0.26 | asserted 1.00 |
| s1 | This description is valid in all regimes, but is especially applicable in the long pulse to continuous-wave limit where the photon density at any particular time is small, although the total number of photons can be quite large. | limitation 0.43 | 0.55 | 0.08 | asserted 1.00 |
| s2 | Our method relies on the Whittaker-Shannon interpolation formula applied to the joint temporal amplitude of squeezed light, which allows us to "take apart" the squeezed state. | method 0.98 | 0.89 | 0.19 | asserted 1.00 |
| s3 | This provides a local description of the state and its photon statistics, making the underlying physics more transparent than does the use of the Schmidt decomposition. | interpretation 0.93 | 0.79 | 0.24 | asserted 0.99 |
| s4 | The formalism can easily be extended to more exotic nonclassical states where a Schmidt decomposition is not possible. | contribution 0.64 | 0.68 | 0.12 | asserted 0.73 |
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The paper
Original abstract
We develop a formalism to describe squeezed light with large spectral-temporal correlations. This description is valid in all regimes, but is especially applicable in the long pulse to continuous-wave limit where the photon density at any particular time is small, although the total number of photons can be quite large. Our method relies on the Whittaker-Shannon interpolation formula applied to the joint temporal amplitude of squeezed light, which allows us to "take apart" the squeezed state. This provides a local description of the state and its photon statistics, making the underlying physics more transparent than does the use of the Schmidt decomposition. The formalism can easily be extended to more exotic nonclassical states where a Schmidt decomposition is not possible.
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1 arXiv paper cite this in 1 sentence
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Cites as background 1 paper
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Here there is the opportunity to apply the vast mathematical formalism that has already been developed to describe the information content of classical signals and images [ref] .
Slepian functions and their use in signal estimation and spectral analysis · Conclusion · 0.88
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