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The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:
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Intensity correlations in the Wigner representation.

Mojdeh Shikhali Najafabadi1, Luis L Sanchez-Soto1,2, Kun Huang3

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Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
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Summary
This summary is machine-generated.

Researchers linked quantum state correlations to phase space shape using a new formula. Experiments confirmed this connection, advancing quantum optics and the theory of light.

Keywords:
Wigner functioncorrelationsphase-spacesqueezing

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Area of Science:

  • Quantum optics
  • Quantum information theory
  • Phase space formalism

Background:

  • The second-order correlation function quantifies photon bunching and antibunching.
  • The Wigner function provides a phase-space representation of quantum states.
  • Connecting these two measures is crucial for understanding quantum state properties.

Purpose of the Study:

  • To derive a compact expression linking the second-order correlation function to the Wigner function.
  • To establish a direct relationship between quantum state correlations and their phase-space representation.
  • To experimentally validate the derived theoretical connection.

Main Methods:

  • Derivation of a novel analytical expression for the second-order correlation function in terms of the Wigner function.
  • Experimental implementation using direct photocounting to measure the correlation function.
  • Reconstruction of the Wigner function through homodyne tomography.

Main Results:

  • A direct, compact mathematical link was established between the second-order correlation function and the Wigner function.
  • Experimental measurements of the second-order correlation function agreed with theoretical predictions derived from the Wigner function.
  • The study demonstrated the utility of phase-space methods for characterizing quantum states.

Conclusions:

  • The derived expression provides a powerful tool for analyzing quantum states.
  • Experimental validation confirms the theoretical framework, enhancing quantum state characterization.
  • This work contributes to the broader understanding of quantum light and its properties.