2016
DOI: 10.1364/ol.41.004166
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Quantum scattering theory of a single-photon Fock state in three-dimensional spaces

Abstract: Abstract:A quantum scattering theory is developed for Fock states scattered by twolevel systems in the free space. Compared to existing scattering theories that treat incident light semi-classically, the theory fully quantizes the incident light as Fock states. This non-perturbative method provides exact scattering matrix.

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Cited by 15 publications
(12 citation statements)
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“…First, we numerically calculate the eigenmodes of the resonant frequency in the Brillouin zone by using MIT photonic bands 32 (MPB). Next, we use each eigenmode as excitation and numerically calculate the scattering cross section by using the quantum scattering theory we developed recently 33 , which is described in detail in Supplementary Note 2 .…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…First, we numerically calculate the eigenmodes of the resonant frequency in the Brillouin zone by using MIT photonic bands 32 (MPB). Next, we use each eigenmode as excitation and numerically calculate the scattering cross section by using the quantum scattering theory we developed recently 33 , which is described in detail in Supplementary Note 2 .…”
Section: Resultsmentioning
confidence: 99%
“…The resonant scatterer is a quantum two-level system (TLS) embedded in the above photonic crystal. We numerically solve the scattering problem using quantum electrodynamics 33 , 34 . The Hamiltonian is .…”
Section: Resultsmentioning
confidence: 99%
“…Here we use the relation ̃ . Analytical solutions for one and two TLSs can be directly derived [45]. But for more than two TLSs, we resort to numerical calculation in main text.…”
Section: √2mentioning
confidence: 99%
“…Unlike many approach that treat the incident light as a semi-classical field [44], we use Fock states as the basis to solve the transport properties of light scattered by a cluster of TLSs in free space. A non-perturbative method [45] is adopted from waveguide quantum electrodynamics [46][47][48][49] to calculate the exact eigenstates of the open system, from which the scattering matrix and the cross sections can be obtained. Based on this theory, we show that the cross section follows a conservation law:…”
mentioning
confidence: 99%
“…The scattering cross section in the Weyl system averaged across the isofrequency surface can be obtained by integrating the cross section on the isofrequency surface, and divided by the area of the isofrequency surface [35][36][37]:…”
mentioning
confidence: 99%