Interplay of nonclassicality and entanglement of two-mode Gaussian fields generated in optical parametric processes

Numerous inequalities involving moments of integrated intensities and revealing nonclassicality and entanglement in bipartite optical fields are derived using the majorization theory, non-negative polynomials, the matrix approach, as well as the Cauchy-Schwarz inequality. Different approaches for deriving these inequalities are compared. Using the experimental photocount histogram generated by a weak noisy twin beam monitored by a photon-number-resolving iCCD camera the performance of the derived inequalities is compared. A basic set of ten inequalities suitable for monitoring the entanglement of a twin beam is suggested. Inequalities involving moments of photocounts (photon numbers) as well as those containing directly the elements of photocount (photon-number) distributions are also discussed as a tool for revealing nonclassicality.

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“…[47] and their nonclassicality invariant describing the behavior of their entanglement on a beam-splitter has been discussed in Refs. [48,49].…”

Section: Nonclassicality Criteria Based On the Elements Of Photocmentioning

confidence: 99%

Nonclassicality and entanglement criteria for bipartite optical fields characterized by quadratic detectors

Peřina¹,

Arkhipov²,

Michálek³

et al. 2017

Phys. Rev. A

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“…On the other hand, the balanced beam splitter with T = 1/2 is optimal for the generation of squeezed light in both output ports. [28][29][30] In general, an arbitrary beam splitter has the potential to generate states that may exhibit both local non-classicality and entanglement.…”

Section: Identification Of Non-classicality Of Two-mode States Beyondmentioning

confidence: 99%

Experimental identification of non-classicality of noisy twin beams and other related two-mode states

Arkhipov

Peřina

2018

Sci Rep

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Different non-classicality criteria expressed in the form of inequalities among intensity moments and elements of photon-number distributions are applied to noisy twin beams and other two-mode states obtained from a twin beam by using a beam splitter. Their performance in revealing the non-classicality is judged in comparison with the exact results provided by suitable entanglement and local non-classicality quantifiers. Whereas the non-classicality of noisy twin beams is always revealed by these criteria, not all the nonclassical states obtained at the output of the beam splitter can be identified by these experimentally easily reachable criteria.

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“…Here, we would like to stress that when analyzing below NWs R k and M for the Gaussian states under consideration, we will compare those NWs with genuine nonclassicality identifiers for the two-mode Gaussian states derived in Refs. [30,31]. Namely, those genuine nonclassicality identifiers comprise the local nonclassicality identifiers (LNIs) I…”

Section: B Beam Splitter Transformationmentioning

confidence: 99%

“…To include noise in the system, we utilize the model of the superposition of the quantum signal and noise [29], meaning that only the vacuum fluctuations B 1 of the signal field need to be modified in the covariance matrix, i.e., B 1 = B sq + B n , where B n is the mean thermal noise photon number, and all other quantities in the covariance matrix A N are left unchanged [31].…”

Section: A Spontaneous Second Subharmonic Emissionmentioning

confidence: 99%

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Characterization of nonclassicality of Gaussian states initially generated in optical spontaneous parametric processes by means of induced stimulated emission

Arkhipov

2018

Phys. Rev. A

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In a recent paper [I. I. Arkhipov, Phys. Rev. A 98, 021803 (2018)], it was shown that one can completely identify the nonclassicality of single-and two-mode Gaussian states by means of certain nonclassicality witnesses which are based on intensity moments up to the third order of optical fields, provided that an appropriate coherent displacement is applied to a given Gaussian state. Here, we utilize a mathematical equivalence between the description of the coherent displaced Gaussian states generated in the spontaneous parametric processes and the Gaussian states generated in the corresponding stimulated parametric processes. Resorting to that equivalence, we study and compare the power of those nonclassicality witnesses in the detection of the nonclassicality of the two-mode Gaussian states generated in both the spontaneous and stimulated second subharmonic and downconversion processes and which are subsequently subject to a beam splitter. We demonstrate that by means of an appropriate induced stimulated emission one can completely identify the nonclassicality of the considered Gaussian states in comparison to the case of the spontaneous emission. This is important from the experimental point of view, as the stimulated emission can be easily implemented in running optical experiments, and such method can exploit just simple linear detectors. arXiv:1808.08088v1 [quant-ph]

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Interplay of nonclassicality and entanglement of two-mode Gaussian fields generated in optical parametric processes

Cited by 28 publications

References 56 publications

Nonclassicality and entanglement criteria for bipartite optical fields characterized by quadratic detectors

Nonclassicality and entanglement criteria for bipartite optical fields characterized by quadratic detectors

Experimental identification of non-classicality of noisy twin beams and other related two-mode states

Characterization of nonclassicality of Gaussian states initially generated in optical spontaneous parametric processes by means of induced stimulated emission

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