Temporally multimode four-photon Hong-Ou-Mandel interference

Ferreri, Alessandro; Ansari, Vahid; Silberhorn, Christine; Sharapova, Polina R.

doi:10.1103/physreva.100.053829

Cited by 13 publications

(14 citation statements)

References 46 publications

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“…However, the degenerate and non-degenerate squeezed states in Eqs. ( 4) and ( 6) are not entirely equivalent for quantum interference experiments, when the Schmidt modes involve the degrees of freedom not affected by a multiport (e.g., the spectral shape of photons) [39,[48][49][50][51]. In Eqs.…”

Section: Squeezed States In the First-order Quantization Representationmentioning

confidence: 99%

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Distinguishability in quantum interference with the squeezed states

Shchesnovich

2021

Preprint

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Distinguishability theory is developed for the quantum interference of squeezed vacuum states on a unitary linear multiport. It is found that the entanglement of the photon pairs over the internal Schmidt modes is one of the sources of partial distinguishability and that its effect is accounted for by the cycle structure of the symmetric group acting on a double-set. A measure of partial distinguishability is proposed and shown to bound the total variation distance between the probability distributions from the quantum interference with indistinguishable and partially distinguishable squeezed states. This allows to quantify partial distinguishability in the recent experimental gaussian boson sampling. In derivation of all the results the first-order quantization representation, generally underestimated, serves as an indispensable tool. The approach allows for generalizations, for instance, it can be adapted to generalized (non-gaussian) squeezed states, such as those recently generated in the three-mode parametric down-conversion.

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Section: Squeezed States In the First-order Quantization Representationmentioning

confidence: 99%

“…Squeezed states are inevitably multimode, thus one would like to know if their multi-mode structure induces partial distinguishability. Though some experiments have shown that the multi-mode structure is shaping the interference with the squeezed states [39], there were no clue of how one could approach such a problem.…”

Section: Introductionmentioning

confidence: 99%

Distinguishability in quantum interference with the squeezed states

Shchesnovich

2021

Preprint

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“…e −H(ta,t b ,tc,t d ,δa,δ b ,δc,δ d ) }, (15) where, H is defined as: For the time width δ d = 0.1 , the time delay 3 between two input pulses as τ c changes gives two peaks. This is because the time width is short enough to seperate the two peaks.…”

Section: Time-dependent Hong-ou-mandel Interferencementioning

confidence: 99%

Hong-Ou-Mandel interference depends on the method of the erasing the beam path information

Youn

2020

Preprint

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We study how the information of the beam path is related to the Hong-Ou-Mandel interference with two pulsed light sources. Through a simple model in which two photons in the form of pulses pass a beamsplitter and are observed at two detectors, we investigate how, during the measurement process, information about the paths of the two photons can be erased. There are two ways to clear the information of the beam path, the first being that from the beginning, during the physical measurement process, the time information is not obtained. The other is after measuring the information, to erase the temporal information in the data analyzing process. We show that Hong-Ou-Mandel interference can be obtained only when the beam path inofrmation is cleared from the physical measurement process.

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“…As an example, it has been demonstrated that the possibility of controlling the number of spectral modes, and therefore the amount of spectral/temporal correlations between signal and idler photons, can determine the behaviour of the quantum interference pattern in the four-photon Hong-Ou-Mandel scenarios [27].…”

Section: Introductionmentioning

confidence: 99%

Two-Colour Spectrally Multimode Integrated SU(1,1) Interferometer

Ferreri

Sharapova

2022

Symmetry

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Multimode integrated interferometers have great potential for both spectral engineering and metrological applications. However, the material dispersion of integrated platforms constitutes an obstacle that limits the performance and precision of such interferometers. At the same time, two-colour nonlinear interferometers present an important tool for metrological applications, when measurements in a certain frequency range are difficult. In this manuscript, we theoretically developed and investigated an integrated multimode two-colour SU(1,1) interferometer operating in a supersensitive mode. By ensuring the proper design of the integrated platform, we suppressed the dispersion, thereby significantly increasing the visibility of the interference pattern. The use of a continuous wave pump laser provided the symmetry between the spectral shapes of the signal and idler photons concerning half the pump frequency, despite different photon colours. We demonstrate that such an interferometer overcomes the classical phase sensitivity limit for wide parametric gain ranges, when up to 3×104 photons are generated.

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Temporally multimode four-photon Hong-Ou-Mandel interference

Cited by 13 publications

References 46 publications

Distinguishability in quantum interference with the squeezed states

Distinguishability in quantum interference with the squeezed states

Hong-Ou-Mandel interference depends on the method of the erasing the beam path information

Two-Colour Spectrally Multimode Integrated SU(1,1) Interferometer

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