Local sampling of the SU(1,1) Wigner function

Fabre N, Klimov AB, Leuchs G, Sánchez-Soto LL (2023)

Publication Type: Journal article

Publication year: 2023

Journal

AVS Quantum Science AIP Publishing

Book Volume: 5

Article Number: 014404

Journal Issue: 1

DOI: 10.1116/5.0134784

Abstract

Despite its indisputable merits, the Wigner phase-space formulation has not been widely explored for systems with SU(1,1) symmetry, as a simple operational definition of the Wigner function has proved elusive in this case. We capitalize on unique properties of the parity operator, to derive in a consistent way a bona fide SU(1,1) Wigner function that faithfully parallels the structure of its continuous-variable counterpart. We propose an optical scheme, involving a squeezer and photon-number-resolving detectors, that allows for direct point-by-point sampling of that Wigner function. This provides an adequate framework to represent SU(1,1) states satisfactorily.

Authors with CRIS profile

Gerhard Leuchs Lehrstuhl für Experimentalphysik (Optik)

Involved external institutions

Universidad Complutense de Madrid (UCM) ES Spain (ES) Universidad de Guadalajara (UDEG) MX Mexico (MX)

How to cite

APA:

Fabre, N., Klimov, A.B., Leuchs, G., & Sánchez-Soto, L.L. (2023). Local sampling of the SU(1,1) Wigner function. AVS Quantum Science, 5(1). https://doi.org/10.1116/5.0134784

MLA:

Fabre, Nicolas, et al. "Local sampling of the SU(1,1) Wigner function." AVS Quantum Science 5.1 (2023).

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