Quantum scattering theory of a single-photon Fock state in three-dimensional spaces

Liu, Jingfeng; Zhou, Ming; Yu, Zongfu

doi:10.1364/ol.41.004166

Cited by 15 publications

(12 citation statements)

References 49 publications

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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%

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Electromagnetic scattering laws in Weyl systems

et al. 2017

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Wavelength determines the length scale of the cross section when electromagnetic waves are scattered by an electrically small object. The cross section diverges for resonant scattering, and diminishes for non-resonant scattering, when wavelength approaches infinity. This scattering law explains the colour of the sky as well as the strength of a mobile phone signal. We show that such wavelength scaling comes from the conical dispersion of free space at zero frequency. Emerging Weyl systems, offering similar dispersion at non-zero frequencies, lead to new laws of electromagnetic scattering that allow cross sections to be decoupled from the wavelength limit. Diverging and diminishing cross sections can be realized at any target wavelength in a Weyl system, providing the ability to tailor the strength of wave–matter interactions for radiofrequency and optical applications.

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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%

Electromagnetic scattering laws in Weyl systems

et al. 2017

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“…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:…”

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confidence: 99%

Enhancing the optical cross section of quantum antenna

et al. 2017

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The classical radio frequency antenna theory indicates that large cross sections can be realized through directional radiation. In this paper, a similar principle is applied in quantum systems, in which quantum antennas, constructed by a cluster of quantum two-level systems, explore the collective excitation of two-level systems to realize large directivity. Both the optical cross section and the coherent time can be dramatically enhanced in free space, far exceeding the case of a single two-level system.

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“…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]:…”

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confidence: 99%