Multimode Hong–ou–mandel Interferometry

Walborn, S. P.; Nogueira, W. A. T.; Oliveira-Jr, Antônio; Pádua, S.; Monken, C. H.

doi:10.1142/s0217984905008050

Cited by 9 publications

(6 citation statements)

References 42 publications

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“…On the one hand, these applications are designed for perfect interference with a single spatial mode. On the other hand, multimode interference is a useful method to probe the transverse phase structure of the two-photon state [198,199], and has been used to show the conservation of orbital angular momentum in SPDC [186], as well as to quantify spatial entanglement [200]. It has also been shown to be useful in Bell-state analysis of polarization entangled photons [201], and to produce two-photon fields exhibiting spatial antibunching [113].…”

Section: Entanglement and Conservation Of Orbital Angular Momentum Inmentioning

confidence: 99%

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Spatial correlations in parametric down-conversion

et al. 2010

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The transverse spatial effects observed in photon pairs produced by parametric down-conversion provide a robust and fertile testing ground for studies of quantum mechanics, non-classical states of light, correlated imaging and quantum information. Over the last 20 years there has been much progress in this area, ranging from technical advances and applications such as quantum imaging to investigations of fundamental aspects of quantum physics such as complementarity relations, Bell's inequality violation and entanglement. The field has grown immensely: a quick search shows that there are hundreds of papers published in this field, some with hundreds of citations. The objective of this article is to review the building blocks and major theoretical and experimental advances in the field, along with some possible technical applications and connections to other research areas.

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Section: Entanglement and Conservation Of Orbital Angular Momentum Inmentioning

confidence: 99%

“…The negative sign that appears in the q y components of the reflected field is due to this spatial inversion. The two-photon wave function is split into four components, according to the four possibilities of transmission and reflection of the two photons [198,199]:…”

Section: Entanglement and Conservation Of Orbital Angular Momentum In...mentioning

confidence: 99%

Spatial correlations in parametric down-conversion

et al. 2010

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“…This forms the basis for a large body of work, which seeks to exploit particular types of spatial correlations present in SPDC photon pairs. Indeed, the short-crystal approximation has been used in the context of the implementation of quantum information processing protocols, in experiments which exploit the orbital angular momentum of SPDC photon pairs [35][36][37][38][39][40], in ghost imaging and diffraction experiments [41][42][43][44][45][46], as well as in a variety of other recent experiments [25][26][27][28][29][30][31][32][33][34]47]. However, for a sufficiently long crystal or for a sufficiently focused pump beam, the photon pair properties are no longer solely determined by the pump spatial distribution.…”

Section: Introductionmentioning

confidence: 99%

Effects of crystal length on the angular spectrum of spontaneous parametric downconversion photon pairs

2013

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We present a theoretical and experimental analysis of the joint effects of the transverse electric field distribution and of the nonlinear crystal characteristics on the properties of photon pairs generated by spontaneous parametric downconversion (SPDC). While it is known that for a sufficiently short crystal the pump electric field distribution fully determines the joint signal-idler properties, for longer crystals the nonlinear crystal properties also play an important role. In this paper we present experimental measurements of the angular spectrum (AS) and of the conditional angular spectrum (CAS) of photon pairs produced by spontaneous parametric downconversion (SPDC), carried out through spatially-resolved photon counting. In our experiment we control whether or not the source operates in the short-crystal regime through the degree of pump focusing, and explicitly show how the AS and CAS measurements differ in these two regimes. Our theory provides an understanding of the boundary between these two regimes and also predicts the corresponding differing behaviors.

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“…The goal is to produce a spatial mask version of Hong-Ou-Mandel (HOM) effect [38]. Previous works have already been done to demonstrate the HOM effect in multiple spatial modes experiments [39][40][41].…”

Section: B Example 2: Single Photon In One Input State and Generation...mentioning

confidence: 99%

Why a hole is like a beam splitter: A general diffraction theory for multimode quantum states of light

et al. 2017

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Within the second-quantization framework, we develop a formalism for describing a spatially multimode optical field diffracted through a spatial mask and show that this process can be described as an effective interaction between various spatial modes. We demonstrate a method to calculate the quantum state in the diffracted optical field for any given quantum state in the incident field. Using numerical simulations, we also show that with single-mode squeezed-vacuum state input, the prediction of our theory is in qualitative agreement with our experimental data. We also give several additional examples of how the theory works, for various quantum input states, which may be easily tested in the lab; including two single-mode squeezed vacuums, single-and two-photon inputs, where we show the diffraction process produces two-mode squeezed vacuum, number-path entanglement and a Hong-Ou-Mandel-like effect-analogous to a beam splitter.

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Multimode Hong–ou–mandel Interferometry

Cited by 9 publications

References 42 publications

Spatial correlations in parametric down-conversion

Spatial correlations in parametric down-conversion

Effects of crystal length on the angular spectrum of spontaneous parametric downconversion photon pairs

Why a hole is like a beam splitter: A general diffraction theory for multimode quantum states of light

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