article · Greater South Information System · 2020

Wigner function for SU(1,1)

Ulrich Seyfarth, A. B. Klimov, Hubert de Guise, Gerd Leuchs, Luis L. Sánchez-Soto

Cited by 0Open access

Abstract

In spite of their potential usefulness, Wigner functions for systems with SU(1,1) symmetry have not been explored thus far. We address this problem from a physically-motivated perspective, with an eye towards applications in modern metrology. Starting from two independent modes, and after getting rid of the irrelevant degrees of freedom, we derive in a consistent way a Wigner distribution for SU(1,1). This distribution appears as the expectation value of the displaced parity operator, which suggests a direct way to experimentally sample it. We show how this formalism works in some relevant examples.

Cite this paper

APA 7

Seyfarth, U., Klimov, A. B., de Guise, H., Leuchs, G., & Sánchez-Soto, L. L. (2020). Wigner function for SU(1,1). Greater South Information System. https://doi.org/10.60692/z5vfj-6ct64

MLA 9

Seyfarth, Ulrich, et al. “Wigner function for SU(1,1).” Greater South Information System, 2020, https://doi.org/10.60692/z5vfj-6ct64.

Chicago

Seyfarth, Ulrich, A. B. Klimov, Hubert de Guise, Gerd Leuchs, and Luis L. Sánchez-Soto. 2020. “Wigner function for SU(1,1).” Greater South Information System. https://doi.org/10.60692/z5vfj-6ct64.

Harvard

Seyfarth, U. et al. (2020) ‘Wigner function for SU(1,1)’, Greater South Information System. Available at: https://doi.org/10.60692/z5vfj-6ct64.

BibTeX

@article{seyfarth2020wigner,
  title = {{Wigner function for SU(1,1)}},
  author = {Seyfarth, Ulrich and Klimov, A. B. and de Guise, Hubert and Leuchs, Gerd and Sánchez-Soto, Luis L.},
  journal = {Greater South Information System},
  year = {2020},
  doi = {10.60692/z5vfj-6ct64}
}

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