What Hong-Ou-Mandel interference says on two-photon frequency entanglement

Barbieri, Marco; Roccia, Emanuele; Mancino, Luca; Sbroscia, Marco; Gianani, Ilaria; Sciarrino, Fabio

doi:10.1038/s41598-017-07555-4

Cited by 27 publications

(27 citation statements)

References 27 publications

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“…In the previous paragraph we have considered identical photons with a separable spectrum [7], but one could also consider identical frequency-entangled photons. For example, if we consider spontaneous parametric down conversion (SPDC) type I two-photon generation [29] we again find the coincidence probability in Eq. (16).…”

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confidence: 83%

Revealing and concealing entanglement with noninertial motion

et al. 2020

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Photon interference and bunching are widely studied quantum effects that have also been proposed for high precision measurements. Here we construct a theoretical description of photoninterferometry on rotating platforms, specifically exploring the relation between non-inertial motion, relativity, and quantum mechanics. On the basis of this, we then propose an experiment where photon entanglement can be revealed or concealed solely by controlling the rotational motion of an interferometer, thus providing a route towards studies at the boundary between quantum mechanics and relativity.

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confidence: 83%

Revealing and concealing entanglement with noninertial motion

et al. 2020

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“…( 6 ) for , see e.g. 3 , 22 , 31 – 33 . If we choose the parameters in and such that R , T can be considered constant (e.g.…”

Section: Coefficients R T Andmentioning

confidence: 99%

Theory of a frequency-dependent beam splitter in the form of coupled waveguides

Макаров

2021

Sci Rep

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It is known that the beam splitter in the form of coupled waveguides (BS) is one of the main devices used in quantum optics and quantum technologies. A BS has two independent parameters: one is the reflection coefficient R or the transmission coefficient T, where $$R+T=1$$ R + T = 1 ; the second is the phase shift $$\phi $$ ϕ . In various applications of quantum optics, these coefficients are considered constant. This is due to the fact that the frequency dependence of these coefficients is usually not taken into account, or this dependence is such that it cannot affect the constancy of these coefficients. It is shown that the coefficients R, T and phase shift $$\phi $$ ϕ are generally values that depend on the frequencies of incoming photons, the interaction time of photons in the BS, and the type of BS. It is established that in general, R, T and $$\phi $$ ϕ cannot be considered constant coefficients, and the criteria for when they can be considered constant are defined. The results obtained must be taken into account when analyzing and planning experiments where the beam splitter is presented in the form of coupled waveguides.

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“…( 11 ) corresponds to the well-known equation, e.g. 27 – 29 . It is also seen that the time delay of and is additively ; therefore, we denote it by .…”

Section: Two-photon Interferencementioning

confidence: 99%

Fluctuations in the detection of the HOM effect

Макаров

2020

Sci Rep

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Hong-Ou-Mandel (HOM) effect is known to be one of the main phenomena in quantum optics. It is believed that the effect occurs when two identical single-photon waves enter a 1:1 beam splitter, one in each input port. When the photons are identical, they will extinguish each other. In this work, it is shown that these fundamental provisions of the HOM interference may not always be fulfilled. One of the main elements of the HOM interferometer is the beam splitter, which has its own coefficients of reflection $$R = 1/2$$ R = 1 / 2 and transmission $$ T = 1/2 $$ T = 1 / 2 . Here we consider the general mechanism of the interaction of two photons in a beam splitter, which shows that in the HOM theory of the effect it is necessary to know (including when planning the experiment) not only $$ R = 1/2 $$ R = 1 / 2 and $$ T = 1/2 $$ T = 1 / 2 , but also their root-mean-square fluctuations $$ \Delta R ^ 2, \Delta T ^ 2 $$ Δ R 2 , Δ T 2 , which arise due to the dependence of $$R = R(\omega _1, \omega _2) $$ R = R ( ω 1 , ω 2 ) and $$ T = T (\omega _1, \omega _2) $$ T = T ( ω 1 , ω 2 ) on the frequencies where $$\omega _1, \omega _2$$ ω 1 , ω 2 are the frequencies of the first and second photons, respectively. Under certain conditions, specifically when the dependence of the fluctuations $$ \Delta R^2 $$ Δ R 2 and $$ \Delta T^2 $$ Δ T 2 can be neglected and $$ R=T=1/2 $$ R = T = 1 / 2 is chosen, the developed theory coincides with previously known results.

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What Hong-Ou-Mandel interference says on two-photon frequency entanglement

Cited by 27 publications

References 27 publications

Revealing and concealing entanglement with noninertial motion

Revealing and concealing entanglement with noninertial motion

Theory of a frequency-dependent beam splitter in the form of coupled waveguides

Fluctuations in the detection of the HOM effect

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