Multiple photon effective Hamiltonians in linear quantum optical networks
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Otros documentos de la autoría: García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Multiple photon effective Hamiltonians in linear quantum optical networksFecha de publicación
2019Editor
ElsevierISSN
0030-4018Cita bibliográfica
GARCIA-ESCARTIN, Juan Carlos; GIMENO, Vicent; MOYANO-FERNÁNDEZ, Julio José. Multiple photon effective Hamiltonians in linear quantum optical networks. Optics Communications, 2019, vol. 430, p. 434-439.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0030401818307818Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution
of the quantum state of any number of photons entering a linear optics multiport. The description is ... [+]
We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution
of the quantum state of any number of photons entering a linear optics multiport. The description is based on the
effective Hamiltonian of the optical system for a single photon and comes from relating the evolution in the Lie
group that describes the unitary evolution matrices in the Hilbert space of the photon states to the evolution in
the Lie algebra of the Hamiltonians for one and multiple photons. Our derivation complements previous results
with a point of view which reminds of the Schrödinger picture. These group theory results allow us to prove that
quantum optical linear networks obey different proportionality rules which relate the expected photon number at
each input and output ports. In particular, we show that for a uniform photon input the average photon number
at the output is preserved for any linear multiport. [-]
Publicado en
Optics Communications 430 (2019)Proyecto de investigación
TEC2015-69665-R ; VA089U16 ; MTM2017-84851-C2-2-P ; P1-B2016-07 ; P1-1B2015-02 ; MTM2015-65764-C3-2-PDerechos de acceso
0030-4018/© 2018 Elsevier B.V. All rights reserved.
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