Theory of two-photon entanglement in type-II optical parametric down-conversion

Rubin, Morton H.; Klyshko, D. N.; Shih, Yanhua; Sergienko, A. V.

doi:10.1103/physreva.50.5122

Cited by 462 publications

(383 citation statements)

References 22 publications

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“…is known as the two-photon wavefunction (Rubin et al, 1994). Upon switching to the time domain, we obtain…”

Section: E Narrowband Pumpmentioning

confidence: 99%

“…(45) create correlations between the two photon frequencies, while the third determines the bandwidth of the individual photons. In type-II downconversion, the group velocities of the two beams differ, and the wavevector mismatch may be approximated to linear order (Keller and Rubin, 1997;Rubin et al, 1994) …”

Section: Entangled Photons Generation By Parametric Down Conversionmentioning

confidence: 99%

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Nonlinear optical signals and spectroscopy with quantum light

2016

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Conventional nonlinear spectroscopy uses classical light to detect matter properties through the variation of its response with frequencies or time delays. Quantum light opens up new avenues for spectroscopy by utilizing parameters of the quantum state of light as novel control knobs and through the variation of photon statistics by coupling to matter. We present an intuitive diagrammatic approach for calculating ultrafast spectroscopy signals induced by quantum light, focusing on applications involving entangled photons with nonclassical bandwidth properties -known as "time-energy entanglement". Nonlinear optical signals induced by quantized light fields are expressed using time ordered multipoint correlation functions of superoperators in the joint field plus matter phase space. These are distinct from Glauber's photon counting formalism which use normally ordered products of ordinary operators in the field space. One notable advantage for spectroscopy applications is that entangled photon pairs are not subjected to the classical Fourier limitations on the joint temporal and spectral resolution. After a brief survey of properties of entangled photon pairs relevant to their spectroscopic applications, different optical signals, and photon counting setups are discussed and illustrated for simple multi-level model systems.

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“…is known as the two-photon wavefunction (Rubin et al, 1994). Upon switching to the time domain, we obtain…”

Section: E Narrowband Pumpmentioning

confidence: 99%

Section: Entangled Photons Generation By Parametric Down Conversionmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

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show abstract

“…Following Rubin's group delay picture [12], in the ideal group delay regime, the rectangular waveform reflects the uniform spatial distribution of the photon pair generation probability. This is indeed ensured in our previous theoretical model where the atomic density, pump and coupling laser fields are assumed to be uniform.…”

Section: ) Shaping Biphoton Temporal Waveforms With Spatially Modulamentioning

confidence: 99%

“…Traditional methods of producing biphotons include spontaneous parametric down conversion (SPDC) [10,11,12] and spontaneous four-wave mixing (SFWM) [13,14,15] in nonlinear solid-state materials. Photons from these nonlinear processes in free space forward-wave configuration usually have broad bandwidth (> THz) and short coherence time (< ps) such that their temporal quantum waveform can not be directly resolved by existing commercial single-photon counters (which have a typical resolution of about ns).…”

Section: Introductionmentioning

confidence: 99%

Narrowband Biphotons: Generation, Manipulation, and Applications

Chuu

2015

Engineering the Atom-Photon Interaction

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In this chapter, we review recent advances in generating narrowband biphotons with long coherence time using spontaneous parametric interaction in monolithic cavity with cluster effect as well as in cold atoms with electromagnetically induced transparency. Engineering and manipulating the temporal waveforms of these long biphotons provide efficient means for controlling light-matter quantum interaction at the single-photon level. We also review recent experiments using temporally long biphotons and single photons.

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“…The paired Stokes and anti-Stokes photon states can be obtained from first-order perturbation theory [16,17,29]. For simplicity, we take the input probe and control beams as classical cw lasers and focus on the two-photon temporal 043814-2 correlation.…”

Section: B Shaping Two-photon Wave Formmentioning

confidence: 99%

Engineering biphoton wave packets with an electromagnetically induced grating

Wen

Zhai

et al. 2010

Phys. Rev. A

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We propose to shape biphoton wave packets with an electromagnetically induced grating in a four-level double-cold atomic system. We show that the induced hybrid grating plays an essential role in directing the new fields into different angular positions, especially for the zeroth-order diffraction. A number of interesting features appears in the shaped two-photon wave forms. For example, broadening or narrowing the spectrum would be possible in the proposed scheme even without the use of a cavity.

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Theory of two-photon entanglement in type-II optical parametric down-conversion

Cited by 462 publications

References 22 publications

Nonlinear optical signals and spectroscopy with quantum light

Nonlinear optical signals and spectroscopy with quantum light

Narrowband Biphotons: Generation, Manipulation, and Applications

Engineering biphoton wave packets with an electromagnetically induced grating

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