Introduction. Elements of quantum electrodynamics. Quantum states of bosonic systems. Phase--space representations. Quantum theory of damping. Photoelectric detection of light. Quantum--state reconstruction. Non--classical states. Leaky optical cavities. Theory of resonance fluorescence. A single atom in a high--Q cavity. Laser--driven quantized motion of a trapped atom.
Introduction. Elements of quantum electrodynamics. Quantum states of bosonic systems. Phase--space representations. Quantum theory of damping. Photoelectric detection of light. Quantum--state reconstruction. Non--classical states. Leaky optical cavities. Theory of resonance fluorescence. A single atom in a high--Q cavity. Laser--driven quantized motion of a trapped atom.
This book provides an elementary introduction to the subject of quantum optics, the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity, quantization of multimode fields, quantum phase, coherent states, quasi-probability distribution in phase space, atom-field interactions, the Jaynes-Cummings model, quantum coherence theory, beam splitters and interferometers, dissipative interactions, nonclassical field states with squeezing etc., 'Schrödinger cat' states, tests of local realism with entangled photons from down-conversion, experimental realizations of cavity quantum electrodynamics, trapped ions, decoherence, and some applications to quantum information processing, particularly quantum cryptography. The book contains many homework problems and an extensive bibliography. This text is designed for upper-level undergraduates taking courses in quantum optics who have already taken a course in quantum mechanics, and for first and second year graduate students.
This established textbook provides an accessible but comprehensive introduction to the quantum nature of light and its interaction with matter. The field of quantum optics is covered with clarity and depth, from the underlying theoretical framework of field quantization, atom–field interactions, and quantum coherence theory, to important and modern applications at the forefront of current research such as quantum interferometry, squeezed light, quantum entanglement, cavity quantum electrodynamics, laser-cooled trapped ions, and quantum information processing. The text is suitable for advanced undergraduate and graduate students and would be an ideal main text for a course on quantum optics. This long-awaited second edition builds upon the success of the first edition, including many new developments in the field, particularly in the area of quantum state engineering. Additional homework problems have been added, and content from the first edition has been updated and clarified throughout.
Principles of Quantum Devices: A Quantum-Optical Perspective on Quantum Science and Technology From Atoms to Qubits Quantum Information Coherent Optical Manipulation of Atoms: The Two-Level System Approximation Coherent Manipulation of Two-Level Systems Coherent Manipulation of Multilevel Systems The Two-Level System Including Atomic Motion Modelling Real Atoms Atoms and Quantized Optical Fields: The Quantum Stochastic Schrodinger Equation The Master Equation Inputs, Outputs, and Quantum Langevin Equations Cascaded Quantum Systems Dissipative Dynamics of Driven Systems Dissipative Dynamics of Driven Atoms Multi-Atom Optical Bloch Equations Laser Cooling: Quantum Stochastic Equations for Laser Cooling of Atoms Laser Cooling of Untrapped Atoms Laser Cooling of a Trapped Ion Continuous Measurement and Quantum Trajectories: Continuous Measurement Quantum Trajectories Homodyne Measurement Squeezing and Quantum Correlations Two-Level Systems, Photons and Phonons: Cavity Quantum Electrodynamics Optical Manipulation of Trapped Ions The Ion Trap Quantum Computer Superconductors: Quantum Circuit Theory Superconducting Quantum Devices Quantum Networks: Cavity Quantum Electrodynamics Networks The Dark-State Ensemble Quantum Memory Spatially Extended Atomic Ensembles
Introduction Quantum optics provides a complete description of the resonant interaction of light and a material system. The light scattered as a result of this interaction – the resonance fluorescence – provides a means to monitor and affect the material system's dynamics and also allows for the generation of nonclassical states of the electromagnetic field. Initial theoretical studies characterizing resonance fluorescence addressed fundamental questions regarding the necessity of quantizing the electromagnetic field. This is a particularly illustrative period in optical physics where multiple theories existed that might describe resonance fluorescence – semi-classical optical Bloch equations [1, 2] or quantum electrodynamics [4, 3] – and experimental evidence was necessary to identify the appropriate theoretical framework. Indeed, experiments in 1974 and 1977 investigating the resonance fluorescence lineshape [5, 6] and the photon statistics of the scattered light [7] vindicated the full quantum electrodynamical description of light-matter interaction over other models. In the subsequent 30 years, resonance fluorescence has been used as a high-resolution spectroscopic probe of a variety of physical systems, as a means to investigate quantum coherence in atomic gases and, with the current interest in quantum information science (QIS), as a tool for quantum-state preparation, measurement and control in trapped ions [8]. During this same time period, advances in material science have ushered in an era where it is possible to grow and fabricate solid-state devices at length scales commensurate with the quantum confinement of electrons and holes. It is only recently that resonance fluorescence has been observed from the prototypical artificial nanostructure exhibiting three-dimensional quantum confinement – a single semiconductor quantum dot (QD) [9].
This established textbook provides an accessible but comprehensive introduction to the quantum nature of light and its interaction with matter. The field of quantum optics is covered with clarity and depth, from the underlying theoretical framework of field quantization, atom–field interactions, and quantum coherence theory, to important and modern applications at the forefront of current research such as quantum interferometry, squeezed light, quantum entanglement, cavity quantum electrodynamics, laser-cooled trapped ions, and quantum information processing. The text is suitable for advanced undergraduate and graduate students and would be an ideal main text for a course on quantum optics. This long-awaited second edition builds upon the success of the first edition, including many new developments in the field, particularly in the area of quantum state engineering. Additional homework problems have been added, and content from the first edition has been updated and clarified throughout.