Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light

Bondani, Maria; Allevi, Alessia; Zambra, Guido; Paris, Matteo G. A.; Andreoni, Alessandra

doi:10.1103/physreva.76.013833

Cited by 158 publications

(150 citation statements)

References 31 publications

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“…1, in order to appreciate the differences among the criteria discussed above, the fields should contain a non-negligible number of photons coming both from the PDC process and from the seeds. We plan to generate such states by frequencydegenerate, noncollinear, travelling-wave PDC pumped by a high energy pulsed laser [47]. In the experiment we should take advantage of the fact that µ κ can be reasonably high and bring the nonclassicality parameters to interesting regions.…”

Section: Conclusion and Outlooksmentioning

confidence: 99%

Monitoring the quantum-classical transition in thermally seeded parametric down-conversion by intensity measurements

et al. 2009

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Abstract. We address the pair of conjugated field modes obtained from parametricdownconversion as a convenient system to analyze the quantum-classical transition in the continuous variable regime. We explicitly evaluate intensity correlations, negativity and entanglement for the system in a thermal state and show that a hierarchy of nonclassicality thresholds naturally emerges in terms of thermal and downconversion photon number. We show that the transition from quantum to classical regime may be tuned by controlling the intensities of the seeds and detected by intensity measurements. Besides, we show that the thresholds are not affected by losses, which only modify the amount of nonclassicality. The multimode case is also analyzed in some detail.

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Section: Conclusion and Outlooksmentioning

confidence: 99%

Monitoring the quantum-classical transition in thermally seeded parametric down-conversion by intensity measurements

et al. 2009

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“…In other words, only states violating Criterion P may lead to the conditional generation of genuine quantum states with no classical analogue [33,34]. Conclusions-In the last two decades the fruitful exchange of notions between information science and quantum physics led to the emergence of radically new concepts and applications.…”

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confidence: 99%

Nonclassicality Criteria from Phase-Space Representations and Information-Theoretical Constraints Are Maximally Inequivalent

2012

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We consider two celebrated criteria for defining the non-classicality of bipartite bosonic quantum systems, the first stemming from information theoretic concepts and the second from physical constraints on the quantum phase-space. Consequently, two sets of allegedly classical states are singled out: i) the set C composed of the so called classical-classical (CC) states-separable states that are locally distinguishable and do not possess quantum discord; ii) the set P of states endowed with a positive P-representation (P-classical states)-mixture of Glauber coherent states that, e.g., fail to show negativity of their Wigner function. By showing that C and P are almost disjoint, we prove that the two defining criteria are maximally inequivalent. Thus, the notions of classicality that they put forward are radically different. In particular, generic CC states show quantumness in their P-representation and, viceversa, almost all P-classical states have positive quantum discord, hence are not CC. This inequivalence is further elucidated considering different applications of P-classical and CC states. Our results suggest that there are other quantum correlations in nature than those revealed by entanglement and quantum discord. The question of whether a quantum system exhibits a behaviour without classical analogue has been of interest since the early days of quantum mechanics. Considering bosonic systems, a major framework for attacking this question has been established more then half a century ago, stemming from the notions of quantum phase-space and quasi-probability distributions [1, 2]. There, physical constraints expressing classical behaviour impose criteria of non-classicality that have been experimentally tested in a variety of quantum systems [3][4][5]. On the other hand, in the last two decades non-classical correlations have been the subject of a renewed interest, mainly due to the general belief that they are a fundamental resource for quantum information processing. Within this perspective, a different approach to non-classicality have emerged, which bases its ground on the informationtheoretic aspects of quantum correlations. In particular, rigorous criteria to define non-classicality of correlations have been put forward [6][7][8][9], giving rise to well established concepts like entanglement or quantum discord.Here we compare these two approaches, investigating in particular whether physical constraints emerging from the former can bring new insight in the assessment of quantum correlations beyond the purely informationtheoretic aspects of the latter. We have found that this is indeed the case: the notion of non-classical correlations springing from physical considerations on the quantum phase-space is inequivalent to that emerging from information-theoretic arguments. In a sense that will be specified in the following, these two notions of nonclassicality are maximally inequivalent. This, in particular, suggests that there are other quantum correlations in nature than those revealed by entanglement ...

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“…They take energy from the pump field during the interaction. The nonlinear interaction mediated by the material with χ (2) nonlinearity is described by the following nonlinear interaction momentum operatorĜ int [26,30,31]: To reveal a spatio-spectral structure of the fields suitable for describing the nonlinear interaction we first consider the generation of individual photon pairs in the weak nonlinear interaction. In this case, the pump field is treated classically and an emitted photon pair is described by a quantum state |ψ si obtained by the first-order perturbation solution of the corresponding Schrödinger equation.…”

Section: The Model Of Ultra-intense Twin Beams Involving Pump Depmentioning

confidence: 99%

Spatial, spectral, and temporal coherence of ultraintense twin beams

Peřina

2016

Phys. Rev. A

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Using the model of parametric interaction based on the spatio-spectral Schmidt modes and generalized parametric approximation, we analyze coherence and mode structure of ultra-intense twin beams generated in the regime with pump depletion. We show that the increase of spatial and spectral coherence with the increasing pump power observed for moderate powers is replaced by the decrease for the pump powers at which pump depletion occurs. This behavior of coherence is opposed to that exhibited by the number of spatio-spectral modes effectively constituting the twin beam. The conditions for maximal coherence are analyzed considering pump-beam parameters (spectral width, transverse radius). The existence of additional coherence maxima occurring at even higher pump powers is predicted and explained by the oscillatory evolution of the modes' populations.

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Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light

Cited by 158 publications

References 31 publications

Monitoring the quantum-classical transition in thermally seeded parametric down-conversion by intensity measurements

Monitoring the quantum-classical transition in thermally seeded parametric down-conversion by intensity measurements

Nonclassicality Criteria from Phase-Space Representations and Information-Theoretical Constraints Are Maximally Inequivalent

Spatial, spectral, and temporal coherence of ultraintense twin beams

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