* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Physics 610: Quantum Optics
Relativistic quantum mechanics wikipedia , lookup
Basil Hiley wikipedia , lookup
Probability amplitude wikipedia , lookup
Renormalization group wikipedia , lookup
Quantum decoherence wikipedia , lookup
Measurement in quantum mechanics wikipedia , lookup
Particle in a box wikipedia , lookup
Bohr–Einstein debates wikipedia , lookup
Density matrix wikipedia , lookup
Double-slit experiment wikipedia , lookup
Theoretical and experimental justification for the Schrödinger equation wikipedia , lookup
Bell test experiments wikipedia , lookup
Delayed choice quantum eraser wikipedia , lookup
Renormalization wikipedia , lookup
Copenhagen interpretation wikipedia , lookup
Hydrogen atom wikipedia , lookup
Path integral formulation wikipedia , lookup
Quantum dot wikipedia , lookup
Wave–particle duality wikipedia , lookup
Topological quantum field theory wikipedia , lookup
Quantum entanglement wikipedia , lookup
Bell's theorem wikipedia , lookup
Quantum electrodynamics wikipedia , lookup
Quantum field theory wikipedia , lookup
Quantum fiction wikipedia , lookup
Symmetry in quantum mechanics wikipedia , lookup
Scalar field theory wikipedia , lookup
Many-worlds interpretation wikipedia , lookup
Quantum computing wikipedia , lookup
Quantum teleportation wikipedia , lookup
Coherent states wikipedia , lookup
Orchestrated objective reduction wikipedia , lookup
EPR paradox wikipedia , lookup
Quantum machine learning wikipedia , lookup
Quantum group wikipedia , lookup
Interpretations of quantum mechanics wikipedia , lookup
Quantum state wikipedia , lookup
Quantum key distribution wikipedia , lookup
Quantum cognition wikipedia , lookup
History of quantum field theory wikipedia , lookup
Fall 2009 Physics 610 Lloyd M. Davis Quantum Optics [email protected] 931-393-7335 Class Time: Tuesdays and Thursdays, 8:15—9:30 a.m. Central Time E-113 at UTSI and at 9:15 a.m. – 10:30 a.m. Eastern Time by link to UTK Interactive classroom, South College room 107 Course Content and Texts: Quantum Optics is a rapidly developing field that has now become quite extensive (see “Map of Quantum Optics” given below). In this course we will not follow any one text but will use material from a number of texts, which are listed below, as well as some papers from the literature. However, we will begin the course by following text book No. 1—Optical Coherence and Quantum Optics, by Mandel and Wolf, which you are recommended to purchase. In October 1995, Leonard Mandel (now deceased) and Emil Wolf from the University of Rochester published a treatise that encompasses a very broad range of topics, both in the classical and quantum theories of light. Topics on the classical theory of light propagation and on the coherence of light, the research specialty of Wolf, are treated in detail in the first 9 chapters. In this course, we will touch only briefly on classical coherence theory (in lecture 13). Most of the lectures will cover material on the fully-quantum mechanical description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measurements, and physical states of the quantized radiation field, including states that have no classical counterpart. A current area of interest in quantum optics, and in fundamental quantum theory, relates to “entangled two-photon states”, and Bell’s inequality. Mandel was an expert in this area, and his chapter 10 on the quantization of Maxwell’s equations seems to be slanted towards giving a very thorough foundation for covering such topics. In this course we will not follow section by section through Mandel and Wolf’s text, but instead we will attempt to present a broader perspective by skipping some of the more specialized sections and embedding material from other texts and articles from the literature. In particular, some of the lecture notes and some problems will be drawn from Loudon’s texts “The Quantum Theory of Light”, now in its third edition, and from other texts listed below. Also, some use will be made of Eberly and Allen’s short treatise on the two-level atom, and of other now-classic texts. Some classes will include problems that will be performed as worked examples. There will also be problems set for homework each class. These set problems are due to be scanned and e-mailed to me before the next class, unless otherwise specified. Model answers will be provided, usually at the next class. Many references from the texts and the literature will be given for background reading. A course outline is given below. This is tentative and may be changed to incorporate some material from the recent text on Quantum Optics by Garrison and Chiao (No. 3, below). Grades: Homework assignments: Midterm test 1: Midterm test 2: Final exam: 50 % 15 % 15 % 20 % Recommended Prerequisite courses/background: Quantum Mechanics, Maths Methods, Electrodynamics, Classical Optics, Classical Mechanics Texts: 1. MW=Mandel and Wolf (1995) “Optical Coherence and Quantum Optics” (*Recommended to purchase) http://www.amazon.com/Optical-Coherence-Quantum-Optics-Leonard/dp/0521417112/ref=sr_1_1?ie=UTF8&s=books&qid=1241028296&sr=1-1 2. FX=Fox (2006) “Quantum Optics: An Introduction” (Undergraduate level; Recommended for summer reading) http://www.amazon.com/Quantum-Optics-Introduction-Oxford-Physics/dp/0198566735/ref=sr_1_2?ie=UTF8&s=books&qid=1241032576&sr=1-2 3. GC=Garrison and Chiao (2008) “Quantum Optics” http://www.amazon.com/Quantum-Optics-Oxford-Graduate-Texts/dp/0198508867/ref=sr_1_1?ie=UTF8&s=books&qid=1241031018&sr=1-1 4. WM=Walls and Milburn (a:1994, b:2008) “Quantum Optics” http://www.amazon.com/Quantum-Optics-D-F-Walls/dp/3540285733/ref=sr_1_1?ie=UTF8&s=books&qid=1241031075&sr=1-1 5. SZ=Scully and Zubairy (1997) “Quantum Optics” http://www.amazon.com/Quantum-Optics-Marlan-O-Scully/dp/0521435951/ref=sr_1_1?ie=UTF8&s=books&qid=1241030904&sr=1-1 6. MS=Meystre and Sargent (1990,2007) “Elements of Quantum Optics” http://www.amazon.com/Elements-Quantum-Optics-Pierre-Meystre/dp/3540742093/ref=sr_1_1?ie=UTF8&s=books&qid=1241032140&sr=1-1# 7. BR=Bachor and Ralph (2004) “A Guide to Experiments in Quantum Optics” http://www.amazon.com/Guide-Experiments-Quantum-Optics/dp/3527403930/ref=sr_1_1?ie=UTF8&s=books&qid=1241032689&sr=1-1 8. NC=Nielsen and Chuang (2000) “Quantum Computation and Quantum Information” http://www.amazon.com/Quantum-Computation-Information-Michael-Nielsen/dp/0521635039/ref=sr_1_1?ie=UTF8&s=books&qid=1241035387&sr=1-1 9. L3=Loudon, 3rd edn (2000) “The Quantum Theory of Light” http://www.amazon.com/Quantum-Theory-Oxford-Science-Publications/dp/0198501765/ref=sr_1_1?ie=UTF8&s=books&qid=1241035436&sr=1-1 10. 11. 12. 13. 14. L2=Loudon, 2nd edn (1983) “The Quantum Theory of Light” L1=Loudon, 1st edn (1973) “The Quantum Theory of Light” EA=Eberly and Allen (1975) “Optical Resonance and Two-Level Atoms” KS=Klauder & Sudarshan (1968) “Fundamentals of Quantum Optics” GK=Gerry and Knight (2005) “Introductory Quantum Optics” http://www.amazon.com/Introductory-Quantum-Optics-Christopher-Gerry/dp/052152735X/ref=sr_1_5?ie=UTF8&s=books&qid=1241035672&sr=1-5# Quantum Optics Lecture Date Fall 2009 Tentative Course Outline (5-8-09) Topics States of the Quantized Radiation Field 1 8-20 MW 10.1-3 Quantization of Maxwell’s equations 2 8-25 MW 10.4-6 Fock states, linear and angular momentum 3 8-27 MW 10.7 Phase in quantum optics 4 9-1 MW 11.1-4 Coherent states 5 9-3 MW 11.5, 21.0-7;L3 4.7 Quantum dynamics; Squeezed states 6 9-8 L3 4.6; MW 13.1-3 Mixed States; Chaotic State 7 9-10 MW 11.6-9; WMa 4.2 Coherent state representation Take-home midterm test 1 (Lectures 1-6) (Due: 9-15 ) Coherence 8 9-15 WMa 3.1-5; MW 12.1-3; L2 6.1-2 Young’s experiment; First order coherence 9 9-17 MW 12.4; L2 6.3-5; Higher order coherence 10 9-22 Hanburry-Brown Twiss; Cross-spectral density 11 9-24 Photon counting 12 9-29 Stationarity, homogeneity, isotropy; Photon localization 13 10-1 Propagation of coherence; Spectrum change with propagation Interaction of light with matter 14 10-6 Semiclassical theory 15 10-8 Atom-radiation interaction; Minimal coupling Hamiltonian 16 10-13 Atomic second quantization; Perturbative transition rates; Heisenberg representation Take-home midterm test 2 (Lectures 7-14) (Due: 10-20) 10-15 Fall break 17 10-20 Interaction picture calculations; Superfluoresence; Derivation of optical Bloch equations 18 10-22 Damping mechanisms; Power broadening; Linewidths 19 10-27 Motion on the Bloch sphere; Pulse propagation; Maxwell-Bloch equations; Solitons;20 10-29 21 11-3 Photon echoes; Super fluorescence; Superradiance; Optical bistability 22 11-5 Resonance fluorescence 23 11-10 Quantum theory of damping Entanglement 24 11-12 25 11-17 26 11-19 27 11-24 28 12-1 12-8 Einstein-Podolsky-Rosen paradox; Bell’s inequality; Transactional interpretation Beam splitters; Interferometers; Hong-Ou-Mandel & Franson experiments Entanglement Quantum Cryptography and Teleportation Quantum Computing Final Exam