Non-negative Wigner functions for orbital angular momentum states
Abstract
The Wigner function of a pure continuous-variable quantum state is non-negative if and only if the state is Gaussian. Here we show that for the canonical pair angle and angular momentum, the only pure states with non-negative Wigner functions are the eigenstates of the angular momentum. Some implications of this surprising result are discussed.
- Authors:
-
- Departamento de Optica, Facultad de Fisica, Universidad Complutense, E-28040 Madrid (Spain)
- Departamento de Fisica, Universidad de Guadalajara, 44420 Guadalajara, Jalisco (Mexico)
- Department of Optics, Palacky University, 17. listopadu 50, CZ-772 00 Olomouc (Czech Republic)
- Publication Date:
- OSTI Identifier:
- 21408142
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 81; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.81.012101; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENSTATES; FUNCTIONS; ORBITAL ANGULAR MOMENTUM; WIGNER DISTRIBUTION; ANGULAR MOMENTUM
Citation Formats
Rigas, I, Sanchez-Soto, L L, Klimov, A B, Rehacek, J, and Hradil, Z. Non-negative Wigner functions for orbital angular momentum states. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.81.012101.
Rigas, I, Sanchez-Soto, L L, Klimov, A B, Rehacek, J, & Hradil, Z. Non-negative Wigner functions for orbital angular momentum states. United States. https://doi.org/10.1103/PHYSREVA.81.012101
Rigas, I, Sanchez-Soto, L L, Klimov, A B, Rehacek, J, and Hradil, Z. 2010.
"Non-negative Wigner functions for orbital angular momentum states". United States. https://doi.org/10.1103/PHYSREVA.81.012101.
@article{osti_21408142,
title = {Non-negative Wigner functions for orbital angular momentum states},
author = {Rigas, I and Sanchez-Soto, L L and Klimov, A B and Rehacek, J and Hradil, Z},
abstractNote = {The Wigner function of a pure continuous-variable quantum state is non-negative if and only if the state is Gaussian. Here we show that for the canonical pair angle and angular momentum, the only pure states with non-negative Wigner functions are the eigenstates of the angular momentum. Some implications of this surprising result are discussed.},
doi = {10.1103/PHYSREVA.81.012101},
url = {https://www.osti.gov/biblio/21408142},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 81,
place = {United States},
year = {Fri Jan 15 00:00:00 EST 2010},
month = {Fri Jan 15 00:00:00 EST 2010}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.