Full two-photon down-conversion of a single photon

Sánchez-Burillo, Eduardo; Martín‐Moreno, Luis; García-Ripoll, Juan José; Zueco, David

doi:10.1103/physreva.94.053814

Cited by 44 publications

(37 citation statements)

References 46 publications

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“…Finally, the transmitted two-photon correlation function can be obtained by substituting (45) and (47) into (40). As a result, we have…”

Section: A Two-mode Waveguide Coupled To a Two-level Atommentioning

confidence: 99%

Fano interference in two-photon transport

Fan

2016

Phys. Rev. A

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We present a general input-output formalism for the few-photon transport in multiple waveguide channels coupled to a local cavity. Using this formalism, we study the effect of Fano interference in two-photon quantum transport. We show that the physics of Fano interference can manifest as an asymmetric spectral line shape in the frequency dependence of the two-photon correlation function.The two-photon fluorescence spectrum, on the other hand, does not exhibit the physics of Fano interference.

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“…Finally, the transmitted two-photon correlation function can be obtained by substituting (45) and (47) into (40). As a result, we have…”

Section: A Two-mode Waveguide Coupled To a Two-level Atommentioning

confidence: 99%

Fano interference in two-photon transport

Fan

2016

Phys. Rev. A

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“…In order to emphasize the new features obtained from the two-dimensional scenario compared to other type of reservoirs [46][47][48][49][50][51][52][53][54][69][70][71][72][73] we revisit the one-dimensional model with nearest neighbour coupling used to describe waveguide QED setups. This model assumes hopping at a rate J between N bosonic modes distributed along a line.…”

Section: D Structured Reservoirsmentioning

confidence: 99%

“…By structured we mean possesing a periodic structure that gives rise to the existence of bands in the dispersion relation of the propagating modes. For example, placing the QE energies within the bandgap leads to the localization of photons around them [46][47][48][49][50][51][52], which can mediate long-range purely coherent interactions between the QEs [53,54]. Last, but not least, the interplay of the confinement of the fields and the polarization of light, allows one to control the directionality of the emission [55,56], leading to the so-called chiral quantum optics [57].…”

Section: Introductionmentioning

confidence: 99%

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

2017

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The interaction of quantum emitters with structured baths modifies both their individual and collective dynamics. In Ref.[1] we show how exotic quantum dynamics emerge when QEs are spectrally tuned around the middle of the band of a two-dimensional structured reservoir, where we predict the failure of perturbative treatments, anisotropic non-markovian interactions and novel super and subradiant behaviour. In this work, we provide further analysis of that situation, together with a complete analysis for the quantum emitter dynamics in spectral regions different from the center of the band.

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“…(QED) systems, where a few waveguide photons interact with a local quantum system [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

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confidence: 99%

Generalized cluster decomposition principle illustrated in waveguide quantum electrodynamics

Fan

2017

Phys. Rev. A

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We present the general structure of two-photon S matrix for a waveguide coupled to a local quantum system that supports multiple ground states. The presence of the multiple ground states results in a non-commutative aspect of the system with respect to the exchange of the orders of photons. Consequently, the two-photon S matrix significantly differs from the standard form as described by the cluster decomposition principle in the quantum field theory. PACS numbers:The scattering matrices (S matrices) are of essential importance for characterizing the interaction of quantum particles. On one hand, each element of a scattering matrix describes the probability amplitude of a particular scattering event. Thus every element of a scattering matrix is of direct experimental significance. On the other hand, from a theoretical point of view, the analytic structure of an S matrix is strongly constrained by symmetries and causalities, as well as by other general aspects such as the local nature of the interactions. Consequently, much of the literature on quantum field theory is devoted to the computation and elucidation of the structure of S matrices [1-4].Using the cluster decomposition principle [1,5,6], the standard form of two-particle S matrix listed in quantum field theory textbooks is S = S 0 + i T , where S 0 , the non-interacting part of the S matrix, is of the formand contains the product of two δ functions. The T matrix, which describes the interaction, is of the formand contains a single δ functions. Here, k 1,2 and p 1,2 are the momenta of the incident and outgoing particles, respectively. t k is the individual particle transmission amplitude and C p1p2k1k2 characterizes the strength of the interactions between two particles. Recently, this form is also shown to apply in waveguide quantum electrodynamics arXiv:1610.01727v1 [quant-ph]

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Full two-photon down-conversion of a single photon

Cited by 44 publications

References 46 publications

Fano interference in two-photon transport

Fano interference in two-photon transport

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

Generalized cluster decomposition principle illustrated in waveguide quantum electrodynamics

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