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Quantum blackbox model for electro-optical phase modulation

Capmany, Fernandez-Pousa

Optical Fiber Communication ConferenceJan 1, 20100 citations

Quantum model for electro-optical phase modulation

J. Capmany, Carlos R. Fernández‐Pousa

We present a detailed analysis of the quantum description of electro-optical phase modulation. The results define a black-box type model for this device, which may be especially useful in the engineering steps leading to the design of complex quantum information systems incorporating one or more of these devices. By constructing an explicit representation of the phase modulation scattering operator, it is shown that an approach based entirely on its classical description leads to unphysical modes associated to non-positive frequencies. After modifying this operator, phase modulation is described, for the first time to the best of our knowledge, in terms of a unitary scattering operator Ŝ defined over positive-frequency modes. The modifications introduced by Ŝ in the process of sideband generation by phase modulation are shown to be insignificant when the radiation belongs to optical bands, thus being consistent with the classical description. Finally, the model is employed to characterize the important case of multitone radio- frequency modulation of an optical signal.We present a detailed analysis of the quantum description of electro-optical phase modulation. The results define a black-box type model for this device, which may be especially useful in the engineering steps leading to the design of complex quantum information systems incorporating one or more of these devices. By constructing an explicit representation of the phase modulation scattering operator, it is shown that an approach based entirely on its classical description leads to unphysical modes associated to non-positive frequencies. After modifying this operator, phase modulation is described, for the first time to the best of our knowledge, in terms of a unitary scattering operator Ŝ defined over positive-frequency modes. The modifications introduced by Ŝ in the process of sideband generation by phase modulation are shown to be insignificant when the radiation belongs to optical bands, thus being consistent with the classical description. Finally, the model is employed to characterize the important case of multitone radio- frequency modulation of an optical signal.

arXiv:0911.0657Journal of the Optical Society of America BApr 29, 201048 citations

Quantum Model for Optical Phase Modulator

A.G. Tam, Kerry James Hinton, Peter M. Farrell +1 more

Jan 1, 20090 citations

Overview of electro-optical modulators in quantum optical integrated circuits

V.A. Zheltikov, D.V. Pasechnikova, S. Khydyrova

Politechnical student journalJun 1, 20220 citations

Evolution of Quantum States in an Electro-Optic Phase Modulator

Pradeep K Kumar, Anil Prabhakar

We present a quantum mechanical model to evaluate the time evolution of quantum states of light in an electro-optic phase modulator (EOPM). The phase modulator is analogous to a multilevel atomic system with equally spaced energy levels, each of which corresponds to the sidebands of the phase modulated optical field. Using perturbation theory, we solve the equations governing the interaction of the optical field with a modulating field both with and without phase velocity mismatch. A unitary operator that evolves any given quantum state allows us to evaluate the response of EOPM for single photon, coherent and squeezed states. We apply these results to the analysis of frequency coded quantum key distribution scheme.We present a quantum mechanical model to evaluate the time evolution of quantum states of light in an electro-optic phase modulator (EOPM). The phase modulator is analogous to a multilevel atomic system with equally spaced energy levels, each of which corresponds to the sidebands of the phase modulated optical field. Using perturbation theory, we solve the equations governing the interaction of the optical field with a modulating field both with and without phase velocity mismatch. A unitary operator that evolves any given quantum state allows us to evaluate the response of EOPM for single photon, coherent and squeezed states. We apply these results to the analysis of frequency coded quantum key distribution scheme.

IEEE Journal of Quantum ElectronicsDec 17, 200822 citations

Non-orthogonal domains in phase space of quantum optics and their relation to fractional Fourier transforms

Orhan Aytür, Haldun M. Özaktaş

Optics CommunicationsOct 1, 199544 citations

Quantum Blackbox Model for Electro-Optical Phase Modulation

Abstract

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Quantum Blackbox Model for Electro-Optical Phase Modulation

Abstract

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