Multiple photon effective Hamiltonians in linear quantum optical networks
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Other documents of the author: García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Multiple photon effective Hamiltonians in linear quantum optical networksDate
2019Publisher
ElsevierISSN
0030-4018Bibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0030401818307818Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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. [-]
Is part of
Optics Communications 430 (2019)Investigation project
TEC2015-69665-R ; VA089U16 ; MTM2017-84851-C2-2-P ; P1-B2016-07 ; P1-1B2015-02 ; MTM2015-65764-C3-2-PRights
0030-4018/© 2018 Elsevier B.V. All rights reserved.
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