Spectrum of the parametric down converted radiation calculated in the Wigner function formalism

Casado, Alberto; Marshall, Trevor W.; Risco-Delgado, Ramón; Santos, Emilio

doi:10.1007/s100530170292

Cited by 15 publications

(19 citation statements)

References 2 publications

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“…Marshall's experimental suggestions involves work he has advanced with colleagues, particularly E. Santos, in "stochastic optics," aiming in particular at a local model explanation of the Bell inequalities [60], [61]. At the end of the 1990s, Marshall developed with colleagues a local physical explanation of entanglement involving a nonlinear optical process often called spontaneous parametric down conversion [62], [63], [64], [65], [66], [67]. This work led them to the prediction of a new phenomena, still to be tested for, involving a natural explanation in terms of unquantized light and local quantities that they have termed spontaneous parametric up conversion [68], [69], [70], [71].…”

Section: Physical Ideas Behind Sedmentioning

confidence: 99%

Simulation Results Related to Stochastic Electrodynamics

Cole¹

2006

AIP Conference Proceedings

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Abstract. Stochastic electrodynamics (SED) is a classical theory of nature advanced signi…cantly in the 1960s by Trevor Marshall and Timothy Boyer. Since then, SED has continued to be investigated by a very small group of physicists. Early investigations seemed promising, as SED was shown to agree with quantum mechanics (QM) and quantum electrodynamics (QED) for a few linear systems. In particular, agreement was found for the simple harmonic electric dipole oscillator, physical systems composed of such oscillators and interacting electromagnetically, and free electromagnetic …elds with boundary conditions imposed such as would enter into Casimir-type force calculations. These results were found to hold for both zero-point and non-zero temperature conditions. However, by the late 1970s and then into the early 1980s, researchers found that when investigating nonlinear systems, SED did not appear to provide agreement with the predictions of QM and QED. A proposed reason for this disagreement was advocated by Boyer and Cole that such nonlinear systems are not su¢ ciently realistic for describing atomic and molecular physical systems, which should be fundamentally based on the Coulombic binding potential. Analytic attempts on these systems have proven to be most di¢ cult. Consequently, in recent years more attention has been placed on numerically simulating the interaction of a classical electron in a Coulombic binding potential, with classical electromagnetic radiation acting on the classical electron. Good agreement was found for this numerical simulation work as compared with predictions from QM. Here this worked is reviewed and possible directions are discussed. Recent simulation work involving subharmonic resonances for the classical hydrogen atom is also discussed; some of the properties of these subharmonic resonances seem quite interesting and unusual.

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Section: Physical Ideas Behind Sedmentioning

confidence: 99%

Simulation Results Related to Stochastic Electrodynamics

Cole¹

2006

AIP Conference Proceedings

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“…Furthermore, the theory of PDC was developed starting from the quantised Maxwell equations and passing to the Wigner formalism, in order to calculate the correlation time between the signal and idler fields [22] and the spectrum of light [23] in terms of typical experimental parameters. A similar treatment was given to the study of parametric down and up conversion [24,25].…”

Section: Introductionmentioning

confidence: 99%

“…In [20,23], detailed discussions about the similarities and differences between the WRHP approach of Bell-type experiments using PDC, and a local realistic theory in which the hidden variables are represented by the ZPF amplitudes, can be consulted. Some reasonable hypotheses concerning the diminishment of the intensity fluctuations, by means of integrations over the surface and the time window of the detectors, could give rise to a possible way to link them by performing a modification of the quantum theory of detection in order to eliminate the "negative probabilities".…”

Section: Introductionmentioning

confidence: 99%

From Stochastic Optics to the Wigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments

Casado

Guerra

Plácido

2019

Atoms

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TheWigner formalism in the Heisenberg picture constitutes a bridge that connects QuantumOptics to Stochastic Optics. The vacuum field appears explicitly in the formalism, and the wavelikeaspects of light are emphasised. In addition, the zeropoint intensity as a threshold for detection is acommon denominator in both theories. In this paper, after summarising the basic rules of the Wignerapproach and its application to parametric down-conversion, some new results are presented thatdelve into the physical meaning of the zeropoint field in optical quantum communication. Specifically,the relationship between Bell-state distinguishability and the number of sets of zeropoint modesthat take part in the experiment is analysed in terms of the coupling between the phases of thedifferent fields involved and the subtraction of the zeropoint intensity at the detectors. Additionally,the connection between the compatibility theorem in quantum cryptography and zeropoint fieldis stressed.

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“…LHV models exploiting the detection loophole have already been constructed to reproduce the result of specific experiments [2,3]. There have also been attempts to build more general LHV models that can for example reproduce measurements performed on the singlet state [4,5] or experiments performed using parametric-down conversion sources [6]. In this paper we try to be more general than that.…”

Section: Introductionmentioning

confidence: 99%