RT info:eu-repo/semantics/article
T1 Parity-deformed sl(2,R), su(2) and so(3) algebras: A basis for quantum optics and quantum communications applications
A1 Chung, Won Sang
A1 Hassanabadi, Hassan
A1 Nieto Calzada, Luis Miguel
A1 Zarrinkamar, Saber
K1 Parity-deformed algebra
K1 Jordan-Schwinger realization
K1 Holstein-Primakoff realization
K1 Quantum optics
K1 Quantum communication
K1 12 Matemáticas
AB Having in mind the significance of parity (reflection) in various areas of physics, the single-mode and two-mode Wigner algebras are considered adding to them a reflection operator. The associated deformed 𝑠𝑙(2, 𝑅) algebra, 𝑠𝑙𝜈(2, 𝑅) and the deformed 𝑠𝑜(3) algebra, 𝑠𝑜𝜈(3), are constructed for the widely used Jordan-Schwinger and Holstein-Primakoff realizations, commenting on various aspects and ingredients of the formalism for both single-mode and two-mode cases. Finally, due to its potential application in the study of qubit and qutrit systems, the parity-deformed 𝑠𝑜𝜈(3) representation is analyzed based on the isomorphy of 𝑠𝑜(3) and 𝑠𝑢(2). Related applications are discussed as well.
PB Elsevier
SN 0003-4916
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/83967
UL https://uvadoc.uva.es/handle/10324/83967
LA eng
NO Annals of Physics, 2026, vol. 490, p. 170472
NO Producción Científica
DS UVaDOC
RD 09-abr-2026