Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors

Lamperti, Marco; Allevi, Alessia; Bondani, Maria; Machulka, Radek; Michálek, Václav; Haderka, Ondřej; Peřina, Jan

doi:10.1364/josab.31.000020

Cited by 44 publications

(43 citation statements)

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“…Its individual photon pairs have been exploited in many fundamental experiments testing nonclassical behavior predicted by quantum physics [13,14]. It has also allowed the generation of more intense fields having their electric-field amplitude quadratures squeezed below the vacuum level [15][16][17], exhibiting subshot-noise correlations [18,19] or having sub-Poissonian photon-number statistics [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of nonclassicality, entanglement, and dimensionality of multimode noisy twin beams

2015

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The nonclassicality, entanglement, and dimensionality of a noisy twin beam are determined using a characteristic function of the beam written in the Fock basis. One-to-one correspondence between the negativity quantifying entanglement and the nonclassicality depth is revealed. Twin beams, which are either entangled or nonclassical (independent of their entanglement), are observed only for the limited degrees of noise, which degrades their quantumness. The dimensionality of the twin beam quantified by the participation ratio is compared with the dimensionality of entanglement determined from the negativity. Partitioning of the degrees of freedom of the twin beam into those related to entanglement and to noise is suggested. Both single-mode and multimode twin beams are analyzed. Weak nonclassicality based on integrated-intensity quasidistributions of multimode twin beams is studied. The relation of the model to the experimental twin beams is discussed.

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Section: Introductionmentioning

confidence: 99%

Comparative study of nonclassicality, entanglement, and dimensionality of multimode noisy twin beams

2015

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“…It has been used to quantify nonclassical light originating in resonance fluorescence [3,4], Franck-Hertz experiment [5], high-efficiency light-emitting diodes [6], second-harmonic generation [7,8], parametric deamplification [9], secondsubharmonic generation [10], feed-forward action on the beam [11,12] or light generated in micro-cavities by passing atoms [13]. Highly sub-Poissonian fields have also been reached by post-selection from cw [14][15][16] and pulsed twin beams (TWB) [17][18][19][20][21].The Fano factor F defined in terms of photon-number moments as F = (∆n) 2 / n identifies sub-Poissonian fields if F < 1; ∆n ≡n − n denotes the fluctuation of photon-number operatorn given in terms of the annihilation (â) and creation (â † ) operators asn ≡â †â . Symbol stands for the mean value.…”

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confidence: 99%

Higher-order sub-Poissonian-like nonclassical fields: Theoretical and experimental comparison

2017

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Criteria defining higher-order sub-Poissonian-like fields are given using five different quantities: moments of I) integrated intensity, II) photon number, III) integrated-intensity fluctuation, IV) photon-number fluctuation, and V) elements of photocount and photon-number distributions. Relations among the moment criteria are revealed. Performance of the criteria is experimentally investigated using a set of potentially sub-Poissonian fields obtained by post-selection from a twin beam. The criteria based on moments of integrated intensity and photon number and those using the elements of photocount distribution are found as the most powerful. States nonclassical up to the fifth order are experimentally reached in the former case, even the ninth-order non-classicality is observed in the latter case.Nonclassical properties of optical fields and their characterization have been in the center of attention from the beginning of quantum optics. The simplest, and from the experimental point of view the most natural, way how to achieve this is based on the determination of second-order moments of fluctuations of the measured quantities, that violate certain inequalities for nonclassical fields. This approach resulted in the introduction of principal squeeze variance of electric-field amplitudes and the Fano factor to quantify nonclassical phase fluctuations and photonnumber fluctuations, respectively [1,2]. The Fano factor represents the most important quantity for optical fields characterized by standard quadratic detectors, for which it identifies sub-Poissonian fields. It has been used to quantify nonclassical light originating in resonance fluorescence [3,4], Franck-Hertz experiment [5], high-efficiency light-emitting diodes [6], second-harmonic generation [7,8], parametric deamplification [9], secondsubharmonic generation [10], feed-forward action on the beam [11,12] or light generated in micro-cavities by passing atoms [13]. Highly sub-Poissonian fields have also been reached by post-selection from cw [14][15][16] and pulsed twin beams (TWB) [17][18][19][20][21].The Fano factor F defined in terms of photon-number moments as F = (∆n) 2 / n identifies sub-Poissonian fields if F < 1; ∆n ≡n − n denotes the fluctuation of photon-number operatorn given in terms of the annihilation (â) and creation (â † ) operators asn ≡â †â . Symbol stands for the mean value. This condition when expressed in the moments of integrated intensity W (or equivalently in the normally-ordered moments of photon number, i.e. W k ≡ â †kâk [22][23][24]), (∆W ) 2 = â †2â2 − â †â 2 < 0 [for the relation between the moments that is used for determining intensity moments from the experimental data, see * jan.perina.jr@upol.cz Eq. (3) below], reveals the relation with the general definition of non-classicality: A field is nonclassical provided that its (normally-ordered) Glauber-Sudarshan quasidistribution P (as a function of complex field amplitudes) attains negative values or even does not exist as a regular function [25,26]. The consideration of th...

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“…22 that both the angular and spectral widths are proportional to the fourth-root function of pump intensity multiplied by a function depending on geometry (for details, see Eqs. (12), (14) and (17) therein). Only data corresponding to the most intense powers are not properly¯tted by the theory as pump depletion starts to occur here.…”

Section: Resultsmentioning

confidence: 95%

“…In fact, on the one hand, there are cases in which a large number of modes is desirable, such as for quantum illumination 13 or for the production of sub-Poissonian conditional states by multiple-photon subtractions on TWB states. 14,15 On the other hand, there are situations in which approaching the single-mode condition is indispensable, such as to investigate quantities that are de¯ned only for single modes (e.g. quantum discord, purity of the state, etc.)…”

Section: Introductionmentioning

confidence: 99%

Spatio-spectral characterization of twin-beam states of light for quantum state engineering

Allevi

Lamperti

Jedrkiewicz

et al. 2014

Int. J. Quantum Inform.

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We present an experimental investigation of the spatio-spectral coherence properties of bright twin-beam states (TWBs) as functions of different parameters, such as pump mean power and tuning angle of the employed nonlinear crystal. Our attention is mainly focused on the possible relations among the different quantities under investigation. Particular attention is devoted to the evolution of the number of spatio-spectral modes describing the radiation fi ̄eld, as it represents an interesting property to be controlled in view of possible applications to quantum state engineering protocols

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Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors

Cited by 44 publications

References 44 publications

Comparative study of nonclassicality, entanglement, and dimensionality of multimode noisy twin beams

Comparative study of nonclassicality, entanglement, and dimensionality of multimode noisy twin beams

Higher-order sub-Poissonian-like nonclassical fields: Theoretical and experimental comparison

Spatio-spectral characterization of twin-beam states of light for quantum state engineering

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