Gouy phase of type-I SPDC-generated biphotons

Brito, F. C. V. de; Paz, I. G. da; Hiller, Brigitte; Araujo, Jonas B.; Sampaio, Marcos

doi:10.1016/j.physleta.2020.126989

Cited by 5 publications

(10 citation statements)

References 41 publications

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“…We study the propagation of the twin photons diffracted by a double-slit setup in order to obtain the wave functions corresponding to the four possible paths, namely both photons passing through the upper (lower) slit, or each one passing through a different slit. The purpose here is to generalize the results cast in [44], where we established a connection between the logarithmic negativity and the Gouy phase in the biphoton free propagation as both depend on the biphoton correlations through the Rayleigh length. Furthermore by focusing the double Gaussian biphoton wavefunction using a thin lens, we have calculated the Gouy phase by writing the quantities as a function of the Rayleigh range and have found good agreement with the experimental data [49].…”

Section: Introductionmentioning

confidence: 66%

“…Quantum correlations of a biphoton pair were firstly studied in connection with the Gouy phase in [49]. Later on, a relation between the Gouy phase and quantum correlations through the logarithmic negativity for the biphoton free evolution was shown in [44]. Here we express the relation between the Gouy phase and the logarithmic negativity through the double-slit geometrical parameters, as seen in fig.…”

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

“…Moreover, Ω and /σ quantify the position and momentum spread of the particles in the x direction [40]. Notice that this state is not entangled (factorizes) Ω = σ [44].…”

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

“…(3) where ψ(r ′ , q ′ ) is given by (1) written in terms of relative coordinates r ′ = (x 1 + x 2 )/2 and q ′ = (x 1 − x 2 )/2. Writing the time propagation as a function of the longitudinal distance [44], namely z = ct, yields…”

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

“…We show that this setup can serve the purpose of measuring the variation of entanglement produced by the change in spatial geometry using Gouy phase shift measurements. We follow the ideas presented in [44,49] where it was shown that biphoton phase space correlations are related with the Gouy phase via the logarithmic negativity. For this purpose, we use an asymmetrical double-slit (different slit widths) in order to generate a Gouy phase shift, since this phase cancels when the slits have the same widths.…”

Section: Introductionmentioning

confidence: 99%

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Biphoton phase-space correlations from Gouy-phase measurements using double slits

de Brito,

da Paz,

Araujo

et al. 2021

Preprint

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Quantum correlations encoded in photonic Laguerre-Gaussian modes were shown to be related to the Gouy phase shifts (D. Kawase et al., Phys. Rev. Lett. 101, 050501 (2008)) allowing for a non-destructive manipulation of photonic quantum states. In this work we exploit the relation between phase space correlations of biphotons produced by spontaneously parametric down conversion (SPDC) as encoded in the logarithmic negativity (LN) and the Gouy phase as they are diffracted through an asymmetrical double slit setup. Using an analytical approach based on a double-gaussian approximation for type-I SPDC biphotons, we show that measurements of Gouy phase differences provide information on their phase space entanglement variation, governed by the physical parameters of the experiment and expressed by the LN via covariance matrix elements.

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Section: Introductionmentioning

confidence: 66%

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

“…Moreover, Ω and /σ quantify the position and momentum spread of the particles in the x direction [40]. Notice that this state is not entangled (factorizes) Ω = σ [44].…”

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Biphoton phase-space correlations from Gouy-phase measurements using double slits

de Brito,

da Paz,

Araujo

et al. 2021

Preprint

View full text Add to dashboard Cite

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Observation of the quantum Gouy phase

et al. 2022

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Controlling the evolution of photonic quantum states is crucial for most quantum information processing and metrology tasks. Due to its importance, many mechanisms of quantum state evolution have been tested in detail and are well understood; however, the fundamental phase anomaly of evolving waves, called the Gouy phase, has had a limited number of studies in the context of elementary quantum states of light, especially in the case of photon number states. Here we outline a simple method for calculating the quantum state evolution upon propagation and demonstrate experimentally how this quantum Gouy phase affects two-photon quantum states. Our results show that the increased phase sensitivity of multi-photon states also extends to this fundamental phase anomaly and has to be taken into account to fully understand the state evolution. We further demonstrate how the Gouy phase can be used as a tool for manipulating quantum states of any bosonic system in future quantum technologies, outline a possible application in quantum-enhanced sensing, and dispel a common misconception attributing the increased phase sensitivity of multi-photon quantum states solely to an effective de Broglie wavelength.

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