Capmany Francoy, J.; Fernandez-Pousa, CR. (2011). Spectral decomposition of single-tone-driven quantum phase modulation. Journal of Physics B Atomic Molecular and Optical Physics. 44(3):35506-35506. https://doi.org/10.1088/0953-4075/44/3/035506
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/149648
Title:
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Spectral decomposition of single-tone-driven quantum phase modulation
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Author:
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Capmany Francoy, José
Fernandez-Pousa, Carlos R.
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UPV Unit:
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Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
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Issued date:
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Abstract:
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[EN] Electro-optic phase modulators driven by a single radio-frequency tone ¿ can be described at the quantum level as scattering devices where input single-mode radiation undergoes energy changes in multiples of h¿. In ...[+]
[EN] Electro-optic phase modulators driven by a single radio-frequency tone ¿ can be described at the quantum level as scattering devices where input single-mode radiation undergoes energy changes in multiples of h¿. In this paper, we study the spectral representation of the unitary, multimode scattering operator describing these devices. The eigenvalue equation, phase modulation being a process preserving the photon number, is solved at each subspace with definite number of photons. In the one-photon subspace F 1, the problem is equivalent to the computation of the continuous spectrum of the Susskind-Glogower cosine operator of the harmonic oscillator. Using this analogy, the spectral decomposition in F1 is constructed and shown to be equivalent to the usual Fock-space representation. The result is then generalized to arbitrary N-photon subspaces, where eigenvectors are symmetrized combinations of N one-photon eigenvectors and the continuous spectrum spans the entire unit circle. Approximate normalizable one-photon eigenstates are constructed in terms of London phase states truncated to optical bands. Finally, we show that synchronous ultrashort pulse trains represent classical field configurations with the same structure as these approximate eigenstates, and that they can be considered as approximate eigenvectors of the classical formulation of phase modulation. © 2011 IOP Publishing Ltd.
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Subjects:
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Classical fields
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Continuous spectrum
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Eigenstates
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Eigenvalue equations
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Eigenvectors
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Electrooptic phase modulator
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Energy changes
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Harmonic oscillators
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Multimodes
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Optical bands
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Phase state
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Photon numbers
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Quantum levels
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Radio frequencies
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Scattering operators
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Single-mode radiation
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Spectral decomposition
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Spectral representations
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Unit circles
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Dielectric losses
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Locomotives
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Mathematical operators
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Multiphoton processes
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Oscillators (electronic)
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Phase modulation
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Photons
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Quantum theory
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Railroad cars
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Eigenvalues and eigenfunctions
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Copyrigths:
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Cerrado |
Source:
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Journal of Physics B Atomic Molecular and Optical Physics. (issn:
0953-4075
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DOI:
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10.1088/0953-4075/44/3/035506
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Publisher:
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IOP Publishing
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Publisher version:
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https://doi.org/10.1088/0953-4075/44/3/035506
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Project ID:
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MEC/TEC2008-02606
CONSELLERIA EDUCACIO/PROMETEO/2008/092
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Thanks:
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The authors acknowledge support from the Spanish Government through project TEC2008-02606 and project
Quantum Optical Information Technology, QOIT, a CONSOLIDER-INGENIO 2010 Project; and also from
Generalitat Valenciana ...[+]
The authors acknowledge support from the Spanish Government through project TEC2008-02606 and project
Quantum Optical Information Technology, QOIT, a CONSOLIDER-INGENIO 2010 Project; and also from
Generalitat Valenciana through the PROMETEO research excellency award programme GVA PROMETEO
2008/092
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Type:
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Artículo
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