Coherent control of four-wave mixing

　　1 Introduction
　　1.1 Nonlinear Susceptibility
　　1.2 Coherence Functions
　　1.3 Suppression and Enhancement of FWM Processes
　　1.4 Double Dressing Schemes of Probe and Four-Wave Mixing Fields
　　1.5 Spatial Optical Modulation via Kerr Nonlinearities
　　1.6 Formations and Dynamics of Novel Spatial Solitons
　　References
　　
　　2 Ultrafast Polarization Beats of Four-Wave Mixing Processes
　　2.1 Four-level Polarization Beats with Broadband Noisy Light
　　2.1.1 Basic Theory
　　2.1.2 FLPB in a Doppler-broadened System
　　2.1.3 Photon-echo
　　2.1.4 Experiment and Result
　　2.2 Ultrafast Sum-frequency Polarization Beats in Twin Markovian Stochastic Correlation
　　2.2.1 Basic Theory
　　2.2.2 Second-order Stochastic Correlation of ASPB
　　2.2.3 Fourth-order Stochastic Correlation of ASPB
　　References
　　
　　3 Raman, Rayleigh and Brillouin-enhanced FWM Polarization Beats
　　3.1 Attosecond Sum-frequency Raman-enhanced Polarization Beats Using Twin Phase-sensitive Color Locking Noisy Lights
　　3.1.1 Basic Theory of Attosecond Sum-frequency REPB
　　3.1.2 Homodyne Detection of Sum-frequency REPB
　　3.1.3 Heterodyne Detection of Difference-frequency REPB
　　3.2 Competition Between Raman and Rayleigh-enhanced Four-Wave Mixings in Attosecond Polarization Beats
　　3.2.1 Basic Theory
　　3.2.2 Stochastic Correlation Effects of Rayleigh and Raman-enhanced FWM
　　3.2.3 The Raman and Rayleigh-enhanced Nonlinear Susceptibility in cw Limit
　　3.2.4 Homodyne Detection of ASPB
　　3.2.5 Heterodyne Detection of ASPB
　　3.2.6 Discussion and Conclusion
　　3.3 Coexisting Brillouin, Rayleigh and Raman-enhanced Four-Wave Mixings
　　3.3.1 Basic Theory
　　3.3.2 Homodyne Detection of ASPB
　　3.3.3 Heterodyne Detection of ASPB
　　3.3.4 Phase Angle
　　3.3.5 Discussion and Conclusion
　　References
　　
　　4 Multi-Dressing Four-Wave Mixing Processes in Confined and Non-confined Atomic System
　　4.1 Temporal and Spatial Interference Between Four-Wave Mixing and Six-Wave Mixing Channels
　　4.2 Intermixing Between Four-Wave Mixing and Six-Wave Mixing in a Four-level Atomic System
　　4.2.1 Interplay Between FWM and SWM
　　4.2.2 Discussion
　　4.3 Coexistence of Four-Wave, Six-Wave and Eight-Wave Mixing Processes in Multi-dressed Atomic Systems
　　4.3.1 Parallel and Nested Dressing Schemes
　　4.3.2 Interplay Among Coexisting FWM, SWM and EWM Processes
　　4.4 Controlled Multi-Wave Mixing via Interacting Dark States in a Five-level System
　　4.4.1 Basic Theory
　　4.4.2 Numerical Results
　　4.4.3 Discussion
　　4.5 Polarization Interference of Multi-Wave Mixing in a Confined Five-level System
　　4.5.1 Basic Theory
　　4.5.2 MWM in Long Cells
　　4.5.3 MWM in Ultra-thin and Micrometer Cells
　　4.5.4 Discussion
　　References
　　
　　5 Enhancement and Suppression in Four-Wave Mixing Processes
　　5.1 Interplay among Multi-dressed Four-Wave Mixing Processes
　　5.2 Observation of Enhancement and Suppression of Four-Wave Mixing Processes
　　5.3 Controlling Enhancement and Suppression of Four-Wave Mixing via Polarized Light
　　5.3.1 Theoretical Model and Analysis
　　5.3.2 Experimental Results
　　5.4 Enhancing and Suppressing Four-Wave Mixing in Electronm-genetically Induce Transparency Window References
　　
　　6 Multi-Wave Mixing Processes in Multi-level Atomic System
　　6.1 Modulating Multi-Wave Mixing Processes via Polarizable Dark States
　　6.2 Polarization Spectroscopy of Dressed Four-Wave Mixing in a Three-level Atomic System
　　6.2.1 Various Nonlinear Susceptibilities for Different Polarization Schemes
　　6.2.2 Nonlinear Susceptibilities for Zeeman-degenerate System Interacting with Polarized Fields
　　6.2.3 Third-order Density-matrix Elements in Presence of Dressing Fields
　　6.3 Controlling FWM and SWM in Multi-Zeeman Atomic System with Electromagnetically Induced Transparency
　　6.3.1 Basic Theory
　　6.3.2 Dual-dressed EIT
　　6.3.3 Four-Wave Mixing
　　6.3.4 Six-Wave Mixing
　　References
　　
　　7 Controlling Spatial Shift and Spltting of Four-Wave Mixing
　　7.1 Basic Theory
　　7.2 Electromagnetically-induced Spatial Nonlinear Dispersion of Four-Wave Mixing Beams
　　7.3 Spatial Dispersion Induced by Cross-phase Modulation
　　7.4 Experimental Demonstration of Optical Switching and Routing via Four-Wave Mixing Spatial Shift
　　7.4.1 Theoretical Model and Experimental Scheme
　　7.4.2 Optical Switching and Routing via Spatial Shift
　　7.5 Controlled Spatial Beamsplitter Using Four-Wave Mixing Images
　　7.6 Spatial Splitting and Intensity Suppression of Four-Wave Mixing in V-type Three-level Atomic System
　　References
　　
　　8 Spatial Modulation of Four-Wave Mixing Solitons
　　8.1 Basic Theory
　　8.1.1 Calculation of Double Dressed Cross-Kerr Nonlinear Index of Refraction
　　8.1.2 Calculation of Analytical Solution of One-dimensional Bright and Dark Spatial Solitons
　　8.2 Novel Spatial Gap Solitons of Four-Wave Mixing
　　8.3 Dipole-mode Spatial Solitons of Four-Wave Mixing
　　8.4 Modulated Vortex Solitons of Four-Wave Mixing
　　References
　　Index