RT info:eu-repo/semantics/article
T1 Multiple photon effective Hamiltonians in linear quantum optical networks
A1 García Escartín, Juan Carlos
A1 Gimeno, Vicent
A1 Moyano Fernández, Julio José
K1 Quantum optics
K1 Óptica cuántica
K1 Linear optics multiports
K1 Multipuertos de óptica lineal
K1 Photons
K1 Fotones
AB 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.
PB Elsevier
SN 0030-4018
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/35954
UL http://uvadoc.uva.es/handle/10324/35954
LA eng
NO Optics Communications, 2019, vol. 430. p. 434-439
NO Producción Científica
DS UVaDOC
RD 06-may-2024