Classical analog for dispersion cancellation of entangled photons with local detection

Prevedel, Robert; Schreiter, Kurt M.; Lavoie, Jonathan; Resch, Katharina

doi:10.1103/physreva.84.051803

Cited by 12 publications

(13 citation statements)

References 32 publications

(49 reference statements)

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“…Thus while the classical version requires some form of spectral post-selection to ensure that only frequency components equally offset from x 0 can recombine, no such post-selection is necessary in the quantum version, for the biphotons possess the requisite correlations intrinsically. This connection between classical narrowband SFG and time-frequency entangled photons has also been utilized to derive interesting (but limited) classical analogues of Hong-OuMandel interference [54,55] and dispersion cancellation [56]. And so in this light, Fig.…”

Section: Detailed Example Ii: Encoding and Decoding Of Biphoton Wavepmentioning

confidence: 97%

Biphoton Pulse Shaping

Lukens

Weiner

2015

Springer Series in Optical Sciences

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Recent research has demonstrated how classical optical signal-processing techniques can be extended to nonclassical entangled-photon states, permitting unprecedented control of the time-frequency correlations shared by these light quanta. In this chapter, we introduce the basic theory behind such biphoton pulse shaping and highlight several key experiments conducted in this field. Our emphasis is not only on how entangled photons benefit from these traditionally classical techniques, but also how their specifically quantum properties produce interesting effects not observable with classical fields. We consider both Fourier-transform pulse shaping, which relies on programmable spectral filtering, and electro-optic modulation, in which the temporal phase or amplitude of the biphoton is manipulated by an electrical signal. Both avenues of research have facilitated new insights into biphoton correlations and look to play an important role in the future of quantum state manipulation and the next generation of quantum communication networks. IntroductionThe groundbreaking experiments of Hanbury Brown and Twiss in the 1950s [1, 2] highlighted a grave need in the optical community to better understand the correlations shared by multiple photons. Virtually all optical interference experiments prior to that time had consisted of first-order intensity measurements, which quantum mechanically could be understood as the interference of a single photon with itself. Yet Hanbury Brown and Twiss instead examined the correlations between two photoelectric detectors, finding that a pair of photons from a thermal light source are twice as likely to arrive together than at a specific nonzero delay,

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Section: Detailed Example Ii: Encoding and Decoding Of Biphoton Wavepmentioning

confidence: 97%

Biphoton Pulse Shaping

Lukens

Weiner

2015

Springer Series in Optical Sciences

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“…Discussion.-The possibility of tailoring the temporal correlations of light beams on demand is a necessary ingredient for the exploration and development of quantum-inspired classical technologies, i.e., applications with highly beneficial capabilities that can be understood with the laws of classical physics to emulate effects first revealed in the realm of quantum mechanics [25]. This is the case, for instance, of two-photon lithography [26,27] and remote dispersion and temporal modulation cancellation [18,22,28,29].…”

Section: Fig 1 (Color Online) (A)mentioning

confidence: 99%

Shaping the Ultrafast Temporal Correlations of Thermal-Like Photons

2012

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We show that the temporal correlations between two light beams arising from a broadband thermal-like source can be controlled in the femtosecond regime. Specifically, by introducing spectral phase-only masks in the path of one of the beams, we show that the timing and strength of the photon correlations can be programmed on demand. This example demonstrates that the interbeam second-order coherence function propagates as a phase-sensitive ultrafast wave packet in the path towards the detectors, and is thus, susceptible to be modified by acting on just one of the beams. For quite some time, it has been thought that this could only happen with sources showing time-energy entanglement. Our work shows that such a property is due to the existence of a certain type of correlation, but not necessarily the entanglement. Introduction.-The statistical properties of broadband light sources play a key role in understanding the physics behind their emission mechanisms. The theory of optical coherence provides a convenient mathematical framework to account for these stochastic effects by means of a hierarchy of correlation (or coherence) functions [1,2]. The first-order coherence function quantifies the electric field correlations of the source and is used to describe the field superposition effects that appear in the most common interferometers. In the temporal domain, the interference effects of broadband light sources can easily be controlled on demand, thanks to the availability of programmable pulse shapers [3]. Conversely, the measurement of the first-order correlation function yields invaluable information about the interaction of light with matter, and it lies at the heart of some of the most popular bioimaging tools such as optical coherence tomography [4] or spectral endoscopy [5], just to name a few.The second-order correlation function [1,2] provides a unique fingerprint of the fundamental properties of any radiation source. For example, for thermal-like light sources, this quantity explains why it is twice more probable to detect two photons in coincidence when single-photon detectors are located equidistantly from the source than in any other situation. This effect was first observed in the spatial domain by the groundbreaking experiments of Hanbury Brown and Twiss (HBT) [6]. They showed that the coherence area was related to the angular size of the radiation source [7]. Interestingly, a similar effect also appears in the temporal domain [8], i.e., for thermal-like sources, the photons appear correlated for time instants shorter than the inverse of the bandwidth of the source. On the contrary, for

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“…The simultaneous [23,24] and non-simultaneous [25] cancellation of even-and odd-order terms in the dispersion relation have also been demonstrated in a local manner. Because frequency correlations do not necessarily have to be of quantum origin, even classical dispersion cancellation techniques have been realized [26][27][28][29]. As the spatial analog to dispersion [30], aberrations caused by transverse momentum-dependent phase shifts can be canceled in a conceptually similar manner.…”

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confidence: 99%

“…We also applied this technique to nonlocally correct for focusing error in a quantum imaging setup. Prior theoretical and experimental work has shown that both dispersion cancellation [26][27][28][29] and ghost imaging [43] are possible using classically correlated light beams. Such demonstrations suggest that it may also be possible to observe nonlocal aberration cancellation using a light source with classical, rather than quantum mechanical, correlations.…”

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confidence: 99%

Quantum Nonlocal Aberration Cancellation

et al. 2019

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Phase distortions, or aberrations, can negatively influence the performance of an optical imaging system. Through the use of position-momentum entangled photons, we nonlocally correct for aberrations in one photon's optical path by intentionally introducing the complementary aberrations in the optical path of the other photon. In particular, we demonstrate the simultaneous nonlocal cancellation of aberrations that are of both even and odd order in the photons' transverse degrees of freedom. We also demonstrate a potential application of this technique by nonlocally cancelling the effect of defocus in a quantum imaging experiment and thereby recover the original spatial resolution.Entangled photons display strong correlations in conjugate continuous variables and are therefore of interest not only for the foundations of quantum physics [1-9], but are also routinely used for quantum information processing [10-12] and quantum imaging [13][14][15][16]. Group velocity dispersion (GVD) [17] and wavefront aberrations [18] can negatively influence the correlations and entanglement of continuous variables.In this Letter, we show that through the use of position-momentum entangled photon pairs aberrations experienced by one photon can in a sense be undone by tailoring the wavefront structure of the other photon without ever bringing the two photons back together. In this sense, we demonstrate nonlocal aberration cancellation.The mitigation of GVD has been proposed and demonstrated both in a local scheme based on indistinguishability [19,20] and in a nonlocal manner that relied on frequency correlations of the light [9,21,22]. The simultaneous [23,24] and non-simultaneous [25] cancellation of even-and odd-order terms in the dispersion relation have also been demonstrated in a local manner. Because frequency correlations do not necessarily have to be of quantum origin, even classical dispersion cancellation techniques have been realized [26][27][28][29]. As the spatial analog to dispersion [30], aberrations caused by transverse momentum-dependent phase shifts can be canceled in a conceptually similar manner. Only local aberration cancellation has been performed experimentally [31,32], except for the nonlocal compensation of pure phase objects revealed through polarization correlations [33].We complement these studies by demonstrating both even-and odd-order nonlocal aberration cancellation simultaneously with entangled photon pairs. Because the observation of position-momentum entanglement is strongly influenced by the propagation of the photons [34,35], aberrations in the path of one photon affect the observed entanglement significantly. In particular, quadratic aberrations that act as defocus lead to a form of entanglement migration [35]. These deleterious effects can be cancelled by acting on the state of the second photon with an appropriately chosen aberration. In contrast to Ref.[35], we perform higher-order as well as quadratic aberration cancellation and enhance the quality of quantum imaging in the presence of aberr...

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Classical analog for dispersion cancellation of entangled photons with local detection

Cited by 12 publications

References 32 publications

Biphoton Pulse Shaping

Biphoton Pulse Shaping

Shaping the Ultrafast Temporal Correlations of Thermal-Like Photons

Quantum Nonlocal Aberration Cancellation

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