Numerical investigation of the quantum fluctuations of optical fields transmitted through an atomic medium

Abstract

We have numerically solved the Heisenberg-Langevin equations describing the propagation of quantized fields through an optically thick sample of atoms. Two orthogonal polarization components are considered for the field and the complete Zeeman sublevel structure of the atomic transition is taken into account. Quantum fluctuations of atomic operators are included through appropriate Langevin forces. We have considered an incident field in a linearly polarized coherent state (driving field) and vacuum in the perpendicular polarization and calculated the noise spectra of the amplitude and phase quadratures of the output field for two orthogonal polarizations. We analyze different configurations depending on the total angular momentum of the ground and excited atomic states. We examine the generation of squeezing for the driving field polarization component and vacuum squeezing of the orthogonal polarization. Entanglement of orthogonally polarized modes is predicted. Noise spectral features specific of (Zeeman) multi-level configurations are identified.

arXiv comment12 pages 9 figures. Submitted to Physical Review A

References in corpus (18)

• Inseparability criterion for continuous variable systems
• Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement
• Strong relative intensity squeezing by 4-wave mixing in Rb vapor
• Polarization squeezing and continuous-variable polarization entanglement
• Generation of EPR-entangled radiation through an atomic reservoir
• Continuous variable entanglement using cold atoms
• Quantum state transfer between field and atoms in Electromagnetically Induced Transparency
• Experimental Vacuum Squeezing in Rubidium Vapor via Self-Rotation
• Polarization squeezing with cold atoms
• Vacuum Squeezing in Atomic Media via Self-Rotation
• Squeezing with cold atoms
• Spin-Squeezing and Light Entanglement in Coherent Population Trapping
• Atomic quantum memory: cavity vs single pass schemes
• Noise spectroscopy of non-linear magneto optical resonances in Rb vapor
• Super-poissonian photon statistics and correlations between pump and probe fields in Electromagnetically Induced Transparency
• Can optical squeezing be generated via polarization self-rotation in a thermal vapour cell?
• Laser-noise-induced correlations and anti-correlations in Electromagnetically Induced Transparency
• Polarization squeezing in a four-level system

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• Spatial Multi-Mode Structure of Atom-Generated Squeezed Light
• Spatial multiplexing of squeezed light by coherence diffusion
• Atomic Resonant Single-Mode Squeezed Light from Four-Wave Mixing through Feedforward
• Quantized Nonlinear Gaussian-Beam Dynamics $-$ Tailoring Multimode Squeezed-Light Generation
• Quadrature noise in light propagating through a cold 87Rb atomic gas
• Fluctuation properties of laser light after interaction with an atomic system: comparison between two-level and multilevel atomic transitions
• Non-Gaussian two-mode squeezing and continuous variable entanglement of linearly and circularly polarized light beams interacting with cold atoms