Temporal Shaping of Entangled Photons

Pe'er, Avi; Dayan, Barak; Friesem, Asher A.; Silberberg, Yaron

doi:10.1103/physrevlett.94.073601

Cited by 212 publications

(194 citation statements)

References 21 publications

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“…The first grating disperses the spectral components of the pulse in space, and the second grating packs them back together, following a pixelated spatial light modulator (SLM) which applies a specific transfer function (amplitude, phase, or polarization mask), thereby modifying the amplitudes, phases, or polarization states of the various spectral components. Originally developed for strong laser beams, these pulse shaping techniques have been now extended all the way to the to single photon regime (Bellini et al, 2003;Carrasco et al, 2006;Defienne et al, 2015;Pe'er et al, 2005;Zäh et al, 2008) allowing to control the amplitude and phase modulation of entangled photon pairs, thereby providing additional spectroscopic knobs.…”

Section: G Shaping Of Entangled Photonsmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

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Conventional nonlinear spectroscopy uses classical light to detect matter properties through the variation of its response with frequencies or time delays. Quantum light opens up new avenues for spectroscopy by utilizing parameters of the quantum state of light as novel control knobs and through the variation of photon statistics by coupling to matter. We present an intuitive diagrammatic approach for calculating ultrafast spectroscopy signals induced by quantum light, focusing on applications involving entangled photons with nonclassical bandwidth properties -known as "time-energy entanglement". Nonlinear optical signals induced by quantized light fields are expressed using time ordered multipoint correlation functions of superoperators in the joint field plus matter phase space. These are distinct from Glauber's photon counting formalism which use normally ordered products of ordinary operators in the field space. One notable advantage for spectroscopy applications is that entangled photon pairs are not subjected to the classical Fourier limitations on the joint temporal and spectral resolution. After a brief survey of properties of entangled photon pairs relevant to their spectroscopic applications, different optical signals, and photon counting setups are discussed and illustrated for simple multi-level model systems.

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Section: G Shaping Of Entangled Photonsmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

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“…polarizations, such that ω p = ω 1 + ω 2 [30,31]. Due to their different polarization, the photon wavepackets travel at different group velocities inside the crystal, and acquire a relative time delay during their propagation, which is bound by the entanglement time T .…”

Section: Introductionmentioning

confidence: 99%

Photon statistics of intense entangled photon pulses

Schlawin

Mukamel

2013

J. Phys. B: At. Mol. Opt. Phys.

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Time-and frequency-gated two-photon counting is given by a four-time correlation function of the electric field. This reduces to two times with purely time gating. We calculate this function for entangled photon pulses generated by parametric down-conversion. At low intensity, the pulses consist of well-separated photon pairs, and crossover to squeezed light as the intensity is increased. This is illustrated by the two-photon absorption signal of a three-level model, which scales linearly for a weak pump intensity where both photons come from the same pair, and gradually becomes nonlinear as the intensity is increased. We find that the strong frequency correlations of entangled photon pairs persist even for higher photon numbers. This could help facilitate the application of these pulses to nonlinear spectroscopy, where these correlations can be used to manipulate congested signals.

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“…Furthermore, additional degrees of freedom can be utilized by considering two-dimensional and/or polarization changing masks. Moreover, this analogy is applicable also in the time-domain, where it can be applied for the tailoring of temporal correlations between photons through pulse-shaping techniques [21]. We thus believe that the use of Fourier processing methods may open new avenues for the manipulation of non-classical light.…”

Section: Position (Mm)mentioning

confidence: 99%

Fourier processing of quantum light

Poem¹,

Gilead²,

Lahini³

et al. 2012

Phys. Rev. A

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It is shown that a classical optical Fourier processor can be used for the shaping of quantum correlations between two or more photons, and the class of Fourier masks applicable in the multiphoton Fourier space is identified. This concept is experimentally demonstrated using two types of periodic phase masks illuminated with path-entangled photon pairs, a highly non-classical state of light. Applied first were sinusoidal phase masks, emulating two-particle quantum walk on a periodic lattice, yielding intricate correlation patterns with various spatial bunching and anti-bunching effects depending on the initial state. Then, a periodic Zernike-like filter was applied on top of the sinusoidal phase masks. Using this filter, phase information lost in the original correlation measurements was retrieved.PACS numbers: 42.30. Kq, 42.50.Dv, 03.67.Ac, 03.67.Bg Fourier processing is a well-established method in signal processing, where a transformation is applied to the signal in the reciprocal Fourier domain. In classical optics, a lens converts an optical field in the back focal plane to its spatial Fourier transform at the front focal plane, where optical operations can be applied to directly manipulate the signal in the fourier domain [1]. This basic scheme has been used for the control and manipulation of the light intensity distribution in a number of optical signal processing methods, from matched filtering to phasecontrast microscopy [1]. One of the most frequently used setups is that of the 4-f filter, where a spatial mask at the common focal plane of two lenses performs the Fourier processing of the input signal (see inset in Fig. 1).In recent years, there is a growing interest in the generation, control and detection of non-classical, quantum light [2]. This is mostly due to its exciting applications in quantum information processing [3], quantum metrology [4], quantum imaging [5], and quantum lithography [6]. In contrast to classical light, many properties of quantum light cannot be revealed through first-order correlations, such as the light intensity, and require the measurement of higher order correlations [3,7]. Since optical Fourier processing proved to be a powerful tool for controlling the intensity distribution of classical light, examining the possibility of using this technique for the control of quantum correlations between photons seems very promising. This approach is further motivated by recent works applying Fourier optics to two photon states [8][9][10][11][12][13], where it was shown that the optical Fourier transform of two photons in one spatial dimension is given by the two-dimensional Fourier transform of the two-photon wavefunction [10,11].In this work, we first establish an analogy between the Fourier processing of classical light (intensity) to that of quantum light (correlations) by studying the effect of the Fourier-plane mask on photon correlations. We show that the effect of a one-dimensional mask in the space of the two-photon wavefunction is equivalent to the twodimensional, ext...

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Temporal Shaping of Entangled Photons

Cited by 212 publications

References 21 publications

Nonlinear optical signals and spectroscopy with quantum light

Nonlinear optical signals and spectroscopy with quantum light

Photon statistics of intense entangled photon pulses

Fourier processing of quantum light

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