Quantum Control of Multi-Wave Mixing

Yangpeng ZhangYangpeng Zhang received his PhD in Physics Electronics and Optical Electronics in 2000 and is now Tengfei Chair Professor at Xi'an Jiaotong University. He received numerous national science and technology young researchers awards for his theoretical studies on photonics, especially wave mixing. More than 100 papers in peer review journals and two books on all aspects of multi-wave mixing make him an ideal author for this topic.Feng WenFeng Wen is currently PhD student at Xi'an Jiaotong University.Min XiaoMin Xiao is Distinguished Professor of Physics and holder of the 21st Century Chair in Nanotechnology at the University of Arkansas. He held positions in Shanxi University, China, and the Massachussetts Institute of Technology, received the NSF Young Investigator Award in 1994, and is a Fellow of the American Physical Society and the Optical Society of America. With more than 240 publications on related topics he is one of the experts in the field of multi-wave mixing.

This book describes theoretical studies and how to gain detailed control over multi-wave mixing processes in the frequency and spatial domains on a fundamental level. An introductory chapter provides an overview of the evolution of multi-wave mixing as well as basic physical concepts and mathematical techniques. A comprehensive and systematic framework is used to guide readers through the versatile range of effects and techniques associated with multi-wave mixing. These include Autler-Townes splitting of wave mixing, the controllable suppression and enhancement, and the switching of an atomic medium between transparent and absorptive states. Applications of the phenomena and techniques discussed are presented as motivation at the beginning of each chapter, while instructive exercise sections support a hands-on understanding of even complicated issues.

This book describes theoretical studies and how to gain detailed control over multi-wave mixing processes in the frequency and spatial domains on a fundamental level.
An introductory chapter provides an overview of the evolution of multi-wave mixing as well as basic physical concepts and mathematical techniques.

Chapter 1: Introduction 1.1 Suppression and enhancement conditions 1.2 Fluorescence in MWM1.3 MWM Process in the Optical Cavity1.4 Photonic band gap 1.4.1 Periodic Energy level1.4.2 Method of transfer matrix1.4.3 Nonlinear Talbot Effect1.5 SummaryChapter 2: MWM Quantum Control via Electromagnetically Induced Transparency 2.1 Control of multi-transparency windows via dark-state phase manipulation2.2 Controlled multi-wave mixing via interacting dark states in a five-level system 2.3 EIT-assisted Four-wave Mixing Process in the Diamond-type Four-level Atomic Systerm2.4 Dressed odd-order multi-wave mixing in five-level atomic system 2.5 Observation of eight-wave mixing via electromagnetically induced transparency2.6 Interference of three multi-wave mixings via electromagnetically induced transparency2.7 SummaryChapter 3: Controllable Autler-Townes Splitting of MWM Process via Dark State 3.1 Measurement of ac-Stark shift by a two-photon dressing process via four-wave mixing3.2 Autler-Townes splitting of Four-Wave Mixing image3.3 Evidence of Autler-Townes splitting in high-order nonlinear processes3.4 Observation of Autler-Townes splitting in six-wave mixing3.5 Multi-wave mixing Autler-Townes splitting in the five-level atomic system3.6 SummaryChapter 4: Controllable Enhancement and Suppression of MWM Process via Dark State4.1 Enhancement and suppression of four-wave mixing in EIT window4.2 Switching between enhancement and suppression of four-wave mixing via a dressing field4.3 Controlling the transition of bright and dark states via scanning dressing field4.4 Multi-dressing Interaction of Four-wave Mixing in Three-level Atomic System4.5 Enhancement and suppression of two coexisting six-wave-mixing processes4.6 Switching between enhancement and suppression of four-wave mixing via the power (zyr)4.7 Controlling cascade dressing interaction of four-wave mixing image4.8 SummaryChapter 5: MWM Process with Polarizable Dark State5.1 Controlling enhancement and suppression of four-wave mixing via polarized light5.2 Coexisting polarized four-wave mixings in two-level atomic system5.3 Polarization Dressings of Four-wave Mixing Process in a V-type Three-level Atomic System5.3 Observation of polarization-controlled spatial splitting of four-wave mixing in a three-level atomic systems5.4 Polarized SWM Suppression and Enhancement5.5 SummaryChapter 6: Exploring Non-Classical Properties of MWM Process6.1 Opening Fluorescence Channels via Dual Electromagnetically Induced Transparency Windows6.2 Enhancement and Suppression of Four-Wave Mixing Fluorescence6.3 Three-field noise correlation via third-order nonlinear optical processes6.4 Controllable four-wave mixing transmission signal inside an optical cavity6.5 Continuous variable entanglement between FWM and SWM signal6.6 Summary Chapter 7: Coherent Modulation of Photonic Band Gap in FWM Process7.1 Surface solitons of four-wave mixing in electromagnetically induced lattice7.2 Four-wave mixing and Six-wave mixing with Talbot effect7.3 Spatial Interplay of Two Four-Wave Mixing Images7.4 Observation of multi-component spatial vector solitons of four-wave mixing7.5 SummaryChapter 8: Optical Routing and Space Demultiplexer of MWM Process 8.1 Experimental demonstration of optical switching and routing via four-wave mixing spatial shift8.2 All-optical routing and space demultiplexer via four-wave mixing spatial splitting8.3 Circulator of FWM vortex8.5 SummaryReferencesIndex