Conversion efficiency in the process of copolarized spontaneous four-wave mixing

Garay-Palmett, Karina; U’Ren, Alfred B.; Rangel-Rojo, R.

doi:10.1103/physreva.82.043809

Cited by 23 publications

(40 citation statements)

References 29 publications

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“…Note that this expression for the emitted flux is similar to that obtained for SFWM in the absence of a cavity (see Ref. [36]), except for the modified photon pair spectral distribution due to the cavity mode structure.…”

Section: Photon-pair Rate Of Emissionsupporting

confidence: 77%

“…The state which describes the signal(s) and idler(i) state produced by SFWM is given by |Ψ = |0 s |0 i + ζ|Ψ 2 , in terms of the vacuum |0 s |0 i and the two-photon state |Ψ 2 , where ζ is a constant related to the conversion efficiency. We have shown previously that |Ψ 2 is given by [6,36] …”

Section: The Sfwm Two-photon Quantum Statementioning

confidence: 99%

“…[36]] We are interested in a comparison of the SFWM flux obtained from a cavity source N , based on numerical integration of Eq. (21), to that obtained from an equivalent source without a cavity, N nc , also obtained from Eq.…”

Section: Photon-pair Rate Of Emissionmentioning

confidence: 99%

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Theory of cavity-enhanced spontaneous four wave mixing

2012

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In this paper we study the generation of photon pairs through the process of spontaneous four wave mixing (SFWM) in a χ (3) cavity. Our key interest is the generation of photon pairs in a guidedwave configuration -fiber or waveguide -where at least one of the photons in a given pair is matched in frequency and bandwidth to a particular atomic transition, as required for the implementation of photon-atom interfaces. We present expressions, along with plots, for the two-photon joint intensity both in the spectral and temporal domains. We also present expressions for the absolute brightness, along with numerical simulations, and show that the presence of the cavity can result in a flux enhancement relative to an equivalent source without a cavity.

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Section: Photon-pair Rate Of Emissionsupporting

confidence: 77%

Section: The Sfwm Two-photon Quantum Statementioning

confidence: 99%

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Theory of cavity-enhanced spontaneous four wave mixing

2012

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“…The observed behavior for TOSDPC is different from that observed for the SFWM process, for which the emitted flux is linear in σ [22]. This means that shorter pump pulses do not lead to higher rates of emission for TOSPDC, as is the case for SFWM.…”

Section: B Non-degenerate Emission Frequencies: Closed Analytic Exprmentioning

confidence: 61%

Third-order spontaneous parametric down-conversion in thin optical fibers as a photon-triplet source

2011

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We study the third-order spontaneous parametric downconversion (TOSDPC) process, as a means to generate entangled photon triplets. Specifically, we consider thin optical fibers as the nonlinear medium to be used as the basis for TOSPDC, in configurations where phasematching is attained through the use of different fiber transverse modes. Our analysis in this paper, which follows from our earlier paper Opt. Lett. 36, 190-192 (2011), aims to supply experimentalists with the details required in order to design a TOSPDC photon-triplet source. Specifically, our analysis focuses on the photon triplet state, on the rate of emission, and on the TOSPDC phasematching characteristics, for the cases of frequency-degenerate and frequency non-degenerate TOSPDC.In this paper we study the process of third-order spontaneous parametric downconversion (TOSPDC) in opti-arXiv:1307.3261v1 [quant-ph]

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“…In designing two-photon sources, it is helpful to be able to estimate the source brightness in terms of all relevant experimental parameters. Expressions for the emitted flux for co-propagating and co-polarized SFWM in single-mode fibers have been reported by us previously [30].…”

Section: Expressions For the Emitted Fluxmentioning

confidence: 97%

Counter-propagating spontaneous four wave mixing: photon-pair factorability and ultra-narrowband single photons

2016

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We introduce a new kind of spontaneous four wave mixing process for the generation of photon pairs, in which the four waves involved counter-propagate in a guided-wave c ( ) 3 medium; we refer to this process as counter-propagating spontaneous four wave mixing (CP-SFWM). We show that for the simplest CP-SFWM source, in which all waves propagate in the same polarization and transverse mode and in which self-and cross-phase modulation effects are negligible, phasematching is attained automatically regardless of dispersion in the fiber or waveguide. Furthermore, we show that in two distinct versions of this source (both pumps pulsed, or one pump pulsed and the remaining one monochromatic), the two-photon state is automatically factorable provided that the length of the nonlinear medium exceeds a certain threshold, easily achievable in practice since this threshold length tends to be in the range of mm to cm. We also show that if one of the pumps approaches the monochromatic limit, and for a sufficient nonlinear medium length, the bandwidth of one of the two photons in a given pair may be reduced to the level of MHz, compatible with electronic transitions for the implementation of atom-photon interfaces, without the use of optical cavities.

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Conversion efficiency in the process of copolarized spontaneous four-wave mixing

Cited by 23 publications

References 29 publications

Theory of cavity-enhanced spontaneous four wave mixing

Theory of cavity-enhanced spontaneous four wave mixing

Third-order spontaneous parametric down-conversion in thin optical fibers as a photon-triplet source

Counter-propagating spontaneous four wave mixing: photon-pair factorability and ultra-narrowband single photons

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