Spatial entanglement of paired photons generated in cold atomic ensembles

Osorio, Clara I.; Barreiro, S.; Mitchell, Morgan W.; Torres, Juan P.

doi:10.1103/physreva.78.052301

Cited by 10 publications

(7 citation statements)

References 21 publications

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“…In this paper, the temporal correlation of entangled photons is of our primary interest and we will ignore the spatial effects. The transverse effects of the generated triphotons proposed here can be examined by following the analysis presented in [17,18,25,33].…”

Section: Generation Of Triphoton W Statementioning

confidence: 99%

“…(33) Again, A 30 has absorbed all the slowly varying terms and constants. In this groupdelay region, the three-photon wave packet (33) As mentioned before, in this regime the mechanism of entangled photon generation is washed out due to the longer time coherence from the phase matchings. The frequencies produced out of the the phase-matching spectral window but allowed in optical response would contribute to the three-photon precursor phenomena.…”

Section: B2 Group-delay Regimementioning

confidence: 99%

“…In the past few years, an alternative methodology to achieve narrowband biphotons in cold atomic gases through the process of four-wave mixing (FWM) has attracted a considerable interest from both the theoretical side [25][26][27][28][29][30][31][32][33][34] and the experimental aspect [35][36][37][38]. With the assistance of two mature techniques, laser cooling and trapping [39] and electromagnetically induced transparency (EIT) [40,41], paired photons can be created near atomic resonance with long time coherence, high spectral brightness, and high conversion efficiency.…”

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confidence: 99%

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Tripartite entanglement generation via four-wave mixings: narrowband triphoton W state

Wen

2010

J. Opt. Soc. Am. B

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1 This is the Pre-Published VersionWe propose a method to generate a narrowband triphoton W state entangled in time (or energy) via two four-wave mixing processes in cold atomic gas media. The calculation of such a triphoton W state is performed with second-order perturbation theory. To characterize the optical properties of the state, we analyze the two∼photon and three-photon temporal correlations in the photon coincidence counting measurement. Considering the role of determining the time coherence of triphotons between the nonlinear susceptibilities and phase matchings, we concentrate on two regimes, damped Rabi oscillation and group delay, to look at the temporal correlations. To further enhance the nonlinear interactions, it may be promising to consider cold atoms confined within hollow fibers or loaded into a high-Q cavity.

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Section: Generation Of Triphoton W Statementioning

confidence: 99%

Section: B2 Group-delay Regimementioning

confidence: 99%

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confidence: 99%

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Tripartite entanglement generation via four-wave mixings: narrowband triphoton W state

Wen

2010

J. Opt. Soc. Am. B

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“…Experiments reported up to now [21,26] modes into which the quantum state of the Stokes and anti-Stokes photons are projected. Notwithstanding, when more general non-collinear configurations are considered [27], this selection rule seems to be violated.…”

Section: Raman Transitions In Atomic Ensemblesmentioning

confidence: 99%

“…In this case, the mode function that describes the spatial shape of the pairs of photons is formally identical to equation (13) for SPDC, or to equation (18) for Raman transitions. Therefore, the selection rules m p = m s +m i (for SPDC) and m p − m c = m s − m as for Raman transitions in atomic ensembles apply as well [27,32]. But notice that now we are considering paired photons generated in specific directions.…”

Section: Orbital Angular Momentum Correlations In Collinear Configuramentioning

confidence: 99%

Orbital angular momentum correlations of entangled paired photons

Osorio

Molina‐Terriza

Torres

2009

J. Opt. A: Pure Appl. Opt.

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The generation of paired photons entangled in the spatial degree of freedom, i.e., in orbital angular momentum, offers a convenient physical resource to investigate the nature of entanglement in a multidimensional Hilbert space with controllable dimensionality. The two main physical processes that generate pairs of photons which show correlations in orbital angular momentum are (a) spontaneous parametric down-conversion (SPDC), and (b) Raman transitions induced in atomic ensembles. One question naturally arises: what kinds of correlations exist between the orbital angular momentum of the generated photons? The answer might be different if we consider the whole quantum state of the generated photons, i.e., all possible directions where the pairs of photons can be emitted, or if we consider only a small section of the full set of directions.

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One‐Step Generation of Energy‐Time‐Polarization‐Hyper‐Entangled W‐Class Triphotons: Nonlinear and Linear Optical Responses

Zhang,

Tang,

Wei

et al. 2023

Annalen der Physik

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Nonclassical multiphoton have attracted extensive attention to serve as entangled resources for quantum information technology. Here, the continuous‐mode hyper‐entangled W‐class triphotons are theoretically generated through spontaneous six‐wave mixing (SSWM) in 85Rb. In nonlinear optical response, Zeeman sub‐states are high‐dimensionally quantized by polarized dressing. High‐dimensional entanglement is structured via atomic non‐Hermitian nature. Through linear optical response, the temporal correlations are shaped via diverse polarized dressing. SSWM‐based triphoton is a genuine triphoton possessing non‐Gaussian tripartite entanglement. The high production rate is due to co‐action of three strong input fields, electromagnetically induced transparency (EIT) protection, and slow light effect. Non‐Hermitian nature endows the system with sensitive adjustability around exceptional points (EP). Eventually, the results demonstrate multiple SSWMs causing oscillations with multiple periods in three‐photon temporal correlations for the nonlinear region, build a high‐dimensional three‐body entangled quantum network and transform multifarious profiles of the three‐photon temporal correlations for the linear region. Especially, both high‐dimensional and hyper entanglements are obtained, contributing to high quantum information capacity. Further, the system is switched among multiple states when non‐Hermitian nature is manipulated by polarized dressing. The research opens a broad prospect for generating the hyper‐entangled multiphoton with potential application in adjustable quantum networks of high information capacity.

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Spatial entanglement of paired photons generated in cold atomic ensembles

Cited by 10 publications

References 21 publications

Tripartite entanglement generation via four-wave mixings: narrowband triphoton W state

Tripartite entanglement generation via four-wave mixings: narrowband triphoton W state

Orbital angular momentum correlations of entangled paired photons

One‐Step Generation of Energy‐Time‐Polarization‐Hyper‐Entangled W‐Class Triphotons: Nonlinear and Linear Optical Responses

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