Intensity correlations in the Wigner representation

Mojdeh Shikhali Najafabadi; Luis L. Sanchez-Soto; Kun Huang; Julien Laurat; Hanna Le Jeannic; Gerd Leuchs

doi:10.1098/rsta.2023.0337

Intensity correlations in the Wigner representation

Mojdeh Shikhali Najafabadi^*
, Luis L. Sanchez-Soto
, Kun Huang
, Julien Laurat
, Hanna Le Jeannic
, Gerd Leuchs

^*Corresponding author for this work

Institute for Advanced Study in Precision Spectroscopy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We derive a compact expression for the second-order correlation function g⁽²⁾(0) of a quantum state in terms of its Wigner function, thereby establishing a direct link between g⁽²⁾(0) and the state’s shape in phase space. We conduct an experiment that simultaneously measures g⁽²⁾(0) through direct photocounting and reconstructs the Wigner function via homodyne tomography. The results confirm our theoretical predictions. This article is part of the theme issue ‘The quantum theory of light’.

Original language	English
Article number	20230337
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	382
Issue number	2287
DOIs	https://doi.org/10.1098/rsta.2023.0337
State	Published - 24 Dec 2024

Keywords

Wigner function
correlations
phase-space
squeezing

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title = "Intensity correlations in the Wigner representation",

abstract = "We derive a compact expression for the second-order correlation function g(2)(0) of a quantum state in terms of its Wigner function, thereby establishing a direct link between g(2)(0) and the state{\textquoteright}s shape in phase space. We conduct an experiment that simultaneously measures g(2)(0) through direct photocounting and reconstructs the Wigner function via homodyne tomography. The results confirm our theoretical predictions. This article is part of the theme issue {\textquoteleft}The quantum theory of light{\textquoteright}.",

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T1 - Intensity correlations in the Wigner representation

AU - Najafabadi, Mojdeh Shikhali

AU - Sanchez-Soto, Luis L.

AU - Huang, Kun

AU - Laurat, Julien

AU - Le Jeannic, Hanna

AU - Leuchs, Gerd

PY - 2024/12/24

Y1 - 2024/12/24

N2 - We derive a compact expression for the second-order correlation function g(2)(0) of a quantum state in terms of its Wigner function, thereby establishing a direct link between g(2)(0) and the state’s shape in phase space. We conduct an experiment that simultaneously measures g(2)(0) through direct photocounting and reconstructs the Wigner function via homodyne tomography. The results confirm our theoretical predictions. This article is part of the theme issue ‘The quantum theory of light’.

AB - We derive a compact expression for the second-order correlation function g(2)(0) of a quantum state in terms of its Wigner function, thereby establishing a direct link between g(2)(0) and the state’s shape in phase space. We conduct an experiment that simultaneously measures g(2)(0) through direct photocounting and reconstructs the Wigner function via homodyne tomography. The results confirm our theoretical predictions. This article is part of the theme issue ‘The quantum theory of light’.

KW - Wigner function

KW - correlations

KW - phase-space

KW - squeezing

UR - https://www.scopus.com/pages/publications/85213476089

U2 - 10.1098/rsta.2023.0337

DO - 10.1098/rsta.2023.0337

M3 - 文章

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AN - SCOPUS:85213476089

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VL - 382

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 2287

M1 - 20230337

ER -

Intensity correlations in the Wigner representation

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Keywords

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