Algebraic approach to electro-optic modulation of light: Exactly solvable multimode quantum model

Abstract

We theoretically study electro-optic light modulation based on the quantum model where the linear electro-optic effect and the externally applied microwave field result in the interaction between optical cavity modes. The model assumes that the number of interacting modes is finite and effects of the mode overlapping coefficient on the strength of the intermode interaction can be taken into account through dependence of the coupling coefficient on the mode characteristics. We show that, under certain conditions, the model is exactly solvable and, in the semiclassical approximation where the microwave field is treated as a classical mode, can be analyzed using the technique of the Jordan mappings for the su(2) Lie algebra. Analytical results are applied to study effects of light modulation on the frequency dependence of the photon counting rate. We also establish the conditions of validity of the semiclassical approximation by applying the methods of polynomially deformed Lie algebras for analysis of the model with quantized microwave field.

13 pages; 7 figures, revised version

References in corpus (7)

• Multiphoton Quantum Optics and Quantum State Engineering
• Electro-Optic Modulation of Single Photons
• Cavity quantum electro-optics
• Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous time limit and state-variable approach to phase-locked loop design
• Nonlocal Modulation of Entangled Photons
• Quantum theory of optical temporal phase and instantaneous frequency
• Remarkable optics of short-pitch deformed helix ferroelectric liquid crystals: symmetries, exceptional points and polarization-resolved angular patterns

Cited by in corpus (12)

• Security of subcarrier wave quantum key distribution against the collective beam-splitting attack
• Subcarrier wave continuous variable quantum key distribution with discrete modulation: mathematical model and finite-key analysis
• Coherent detection schemes for subcarrier wave continuous variable quantum key distribution
• Overcoming unambiguous state discrimination attack with the help of Schrödinger Cat decoy states
• Quantum repeater via entangled phase modulated multimode coherent states
• Plug&Play subcarrier wave quantum key distribution with deep modulation
• Performance of the subcarrier-wave quantum key distribution in the presence of spontaneous Raman scattering noise generated by classical DWDM channels
• Photonic interface between subcarrier wave and dual rail encodings
• Generation of frequency sidebands on single photons with indistinguishability from quantum dots
• A theoretical study of subcarrier-wave quantum key distribution system integration with an optical transport network utilizing dense wavelength division multiplexing
• Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra
• Vacuum-based quantum random number generator using multi-mode coherent states