Complementarity in biphoton generation with stimulated or induced coherence

Heuer, Axel; Menzel, Ralf; Milonni, Peter W.

doi:10.1103/physreva.92.033834

Cited by 42 publications

(42 citation statements)

References 17 publications

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“…The constant phase relation between the modes is preserved even if one of the modes is not populated. This surprising behaviour is an example of induced coherence between the modes without induced emission, a phenomenon discussed and observed by several authors [71][72][73][74][75][76][77][78]. In fact, the system considered here of two cavity modes coupled parametrically to the mechanical mode is analogous to the system of Wang et al [71,72] composed of two coupled parametric downconverters in which the induced coherence without induced emission was demonstrated experimentally.…”

Section: Degree Of Coherence and Visibilitysupporting

confidence: 59%

Phase control of entanglement and quantum steering in a three-mode optomechanical system

et al. 2017

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The theory of phase control of coherence, entanglement and quantum steering is developed for an optomechanical system composed of a single mode cavity containing a partially transmitting dielectric membrane and driven by short laser pulses. The membrane divides the cavity into two mutually coupled optomechanical cavities resulting in an effective three-mode closed loop system, two field modes of the two cavities and a mechanical mode representing the oscillating membrane. The closed loop in the coupling creates interfering channels which depend on the relative phase of the coupling strengths of the field modes to the mechanical mode. Populations and correlations of the output modes are calculated analytically and show several interesting phase dependent effects such as reversible population transfer from one field mode to the other, creation of collective modes, and induced coherence without induced emission. We find that these effects result from perfect mutual coherence between the field modes which is preserved even if one of the modes is not populated. The inseparability criterion for the output modes is also investigated and we find that entanglement may occur only between the field modes and the mechanical mode. We show that depending on the phase, the field modes can act on the mechanical mode collectively or individually resulting, respectively, in tripartite or bipartite entanglement. In addition, we examine the phase sensitivity of quantum steering of the mechanical mode by the field modes. Deterministic phase transfer of the steering from bipartite to collective is predicted and optimum steering corresponding to perfect EPR state can be achieved. These different types of quantum steering can be distinguished experimentally by measuring the coincidence rate between two detectors adjusted to collect photons of the output cavity modes. In particular, we find that the minima of the interference pattern of the coincidence rate signal the bipartite steering, while the maxima signal the collective steering. distant system, as considered in the original Einstein-Podolsky-Rosen (EPR) paradox [10]. The EPR steering allows two parties to verify the shared entanglement even if one measurement device is untrusted, which makes it an essential resource for one-sided device independent quantum cryptography [11][12][13][14][15][16], one-way quantum computing [17,18], secure quantum teleportation [19,20], and subchannel discrimination [21].Recent studies have revealed that coherence is closely related to entanglement and quantum steering. It was pointed out by Suzuki et al [22] that entanglement can be detected from interference fringes in atom-photon systems. It has also been shown that the coherence in a system and entanglement between that system and another initially incoherent one are quantitatively, or operationally, equivalent [23]. The power of quantum steering for the generation of coherence has also been demonstrated [24,25]. It has been shown that the presence of mutual coherence among two systems may have a ...

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Section: Degree Of Coherence and Visibilitysupporting

confidence: 59%

Phase control of entanglement and quantum steering in a three-mode optomechanical system

et al. 2017

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“…For a long time, experiments with photons produced in parametric down-conversion (PDC) have been performed with the aim of showing non-classical aspects of light [13][14][15] and testing Bell's inequalities [16], as well as in the field of quantum communication [17]. The Wigner representation of quantum optics in the Heisenberg picture (WRHP) opened the possibility of studying PDC experiments using classical evolution equations by simply adding the zeropoint field at the entrance of the crystal, and by taking into consideration the vacuum inputs at the different linear optical devices placed between the source and the detectors.…”

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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“…The method is based on the following quantum mechanical principle: quantum interference occurs if and only if the information regarding the path traversed by a quantum entity is unavailable [8]. This method has already been applied to the areas of imaging [9,10], spectroscopy [11,12], optical polarization [13], tests of the complementarity principle [14][15][16][17], and microwave superconducting cavities [18].…”

Section: Introductionmentioning

confidence: 99%

Twin-photon correlations in single-photon interference

Lahiri¹,

Hochrainer²,

Łapkiewicz³

et al. 2017

Phys. Rev. A

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We show that it is possible to generate a novel single-photon fringe pattern by using two spatially separated identical bi-photon sources. The fringes are similar to the ones observed in a Michelson interferometer and possess certain remarkable properties with potential applications. A striking feature of the fringes is that although the pattern is obtained by detecting only one photon of each photon pair, the fringes shift due to a change in the optical path traversed by the undetected photon. The fringe shift is characterized by a combination of wavelengths of both photons, which implies that the wavelength of a photon can be measured without detecting it. Furthermore, the visibility of the fringes diminishes as the correlation between the transverse momenta of twin photons decreases: visibility is unity for maximum momentum correlation and zero for no momentum correlation. We also show that the momentum correlation between the two photons of a pair can be determined from the single-photon interference pattern. We thus for the first time propose a method of measuring a two-photon correlation without coincidence or heralded detection.

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Complementarity in biphoton generation with stimulated or induced coherence

Cited by 42 publications

References 17 publications

Phase control of entanglement and quantum steering in a three-mode optomechanical system

Phase control of entanglement and quantum steering in a three-mode optomechanical system

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

Twin-photon correlations in single-photon interference

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