Fourier Transform of the Orbital Angular Momentum of a Single Photon

Kysela, Jaroslav; Gao, Xiaoqin; Dakić, Borivoje

doi:10.1103/physrevapplied.14.034036

Cited by 9 publications

(56 citation statements)

References 43 publications

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“…The OAM sorter can be implemented in multiple ways [19][20][21][22]. Here we employ the interferometric implementation that consists merely of beam splitters, Dove prisms, and holograms [23][24][25][26] and whose structure is shown in section VII A. The whole scheme is then compactly represented by the formula…”

Section: S(|mmentioning

confidence: 99%

“…In the scheme, the use is made of O(d 2 ) beam splitters, O(d 2 ) phase shifters, O(d) Dove prisms, and O(d) holograms as can be deduced from the structure of the OAM sorter [26,27] and the Reck et al scheme [14].…”

Section: S(|mmentioning

confidence: 99%

“…is the number of beam splitters that implement the OAM sorter in dimension d [26]. Later on, we compare this number with the number of beam splitters used in the parallelized version of the scheme represented by Eq.…”

Section: S(|mmentioning

confidence: 99%

“…For the case of OAM and path we can utilize the efficient design of Ref. [26], whose detailed structure is presented in section VII A. The path-encoded unitary U P can be implemented using Reck et al scheme [14].…”

Section: Parallelization In Oammentioning

confidence: 99%

“…Namely, beam splitters, phase shifters, holograms, and Dove prisms. Moreover, each beam splitter in the Reck et al scheme has to be supplemented by two extra mirrors, such that the sign of OAM eigenstates is unaffected by the reflection off the beam splitter's interface [26]. Let us denote by N (par) O the number of beam splitters employed in this parallelized scheme.…”

Section: Parallelization In Oammentioning

confidence: 99%

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Parallelization of high-dimensional single-photon quantum gates

Kysela

2021

Preprint

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Section: S(|mmentioning

confidence: 99%

Section: S(|mmentioning

confidence: 99%

Section: S(|mmentioning

confidence: 99%

Section: Parallelization In Oammentioning

confidence: 99%

Section: Parallelization In Oammentioning

confidence: 99%

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Parallelization of high-dimensional single-photon quantum gates

Kysela

2021

Preprint

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Toward Universal Transformations of Orbital Angular Momentum of a Single Photon

Chen

Wang

et al. 2023

Laser & Photonics Reviews

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High‐dimensional quantum systems offer many advantages over low‐dimensional quantum systems. Meanwhile, unitary transformations on quantum states are important parts in various quantum information tasks, whereas they become technically infeasible as the dimensionality increases. The photonic orbital angular momentum (OAM), which is inherent in the transverse spatial mode of photons, offers a natural carrier to encode information in high‐dimensional spaces. However, it is even more challenging to realize arbitrary unitary transformations on the photonic OAM states. Here, by combining the path and OAM degrees of freedom of a single photon, an efficient scheme to realize arbitrary unitary transformations on the path‐OAM coupled quantum states is proposed. The proposal reduces the number of required interferometers by approximately one quarter compared with previous works, while maintaining the symmetric structure. It is shown that by using OAM‐to‐path interfaces, this scheme can be utilized to realize arbitrary unitary transformations on the OAM states of photons. This work facilitates the development of high‐dimension quantum state transformations and opens a new door to the manipulation of the photonic OAM states.

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Controllable probe absorption spectrum via vortex beams excitation in a cascaded atomic system

Dai

Hao

Jin

et al. 2021

Journal of Applied Physics

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Dynamic control of probe absorption spectrum via vortex beams in multilevel systems has attracted much attention because it provides an avenue to observe unique transport properties. In this paper, we employ experimentally accessible parameters to flexibly control the probe absorption spectrum that shows vortex-induced transparency (VIT) and absorption (VIA) phenomena. Specifically, this system can be served as an optical switch while the vortex beams can act as the control knob, which has the ability to switch from a transparency dip to an absorption peak. Differing from a conventional electromagnetically induced transparency technique, our proposed scheme investigates VIT and VIA by tuning the orbital angular momentum of vortex beams in the resonance and non-resonance cases. Moreover, the collective feature caused by constructive or destructive interference is also studied via adjustable frequency detuning. Our results may provide an efficient approach to study similar phenomena in multilevel quantum systems driven by optical vortex beams.

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Fourier Transform of the Orbital Angular Momentum of a Single Photon

Cited by 9 publications

References 43 publications

Parallelization of high-dimensional single-photon quantum gates

Parallelization of high-dimensional single-photon quantum gates

Toward Universal Transformations of Orbital Angular Momentum of a Single Photon

Controllable probe absorption spectrum via vortex beams excitation in a cascaded atomic system

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