Download Physics 610: Quantum Optics

Spring 2005
Physics 610
Lloyd M. Davis
[email protected]
Quantum Optics
931-393-7335
Proposed Class Time: Mondays and Wednesdays, 8:30—9:45 a.m. Central Time / 9:30 a.m. – 10:45 a.m. Eastern E113 at UTSI / Interactive video to UTK Interactive classroom, South College room 107
Course Content and Texts:
Quantum Optics is a very rapidly developing field that has now become quite extensive. Over the last ten years,
there have been several outstanding texts published. 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. 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 tests and articles from the
literature. In particular, some of the lecture notes and some problems will be drawn from Roudney Loudon’s text “The
Quantum Theory of Light”, now in its third edition, and from other texts listed below. Also, limited use will be made
of Eberly and Allen’s short treatise on the two-level atom, and of other now-classic texts. The class includes many
problems that will be performed as worked examples. Therefore, some classes may finish late, depending on
classroom availability. There will also be 1, 2, or 3 problems per lecture set for homework, which should take no more
than 2 hours. These set problems are due to be handed in at the next class, unless otherwise specified. Model answers
will be provided. Although the lecture notes are largely self-contained, many references from the texts and literature
will be given for supplementary background reading.
Texts:
*MW=Mandel and Wolf “Optical Coherence and Quantum Optics”
(*Recommended to purchase)
http://www.amazon.com/exec/obidos/tg/detail/-/0521417112/ref=pd_bxgy_text_1/103-4410942-4055054?v=glance&s=books#product-details
SZ=Scully and Zubairy
WM=Walls and Milburn
MS=Meystre and Sargent
NC=Nielsen and Chuang
L3=Loudon, 3rd edn
L2=Loudon, 2nd edn
L1=Loudon, 1st edn
EA=Eberly and Allen
KS=Klauder & Sudarshan
Grades:
Homework assignments:
Midterm test:
Final exam:
50 %
20 %
30 %
Recommended Prerequisite courses/background:
Quantum Mechanics, Maths Methods, Classical Mechanics, Electrodynamics, Classical Optics
Quantum Optics
Spring 2005
Draft Course Outline
Lecture
Date
Topics
1
2
1-19
1-26
3
4
5
6
7
1-31
2-2
2-4?
2-7
2-9
8
9
2-21
2-23
10
11
3-7
3-9
12
13
14
15
16
17
18
19
20
21
22
23
24
25
3-14
3-16
3-21
3-23
3-28
3-30
4-4
4-6
4-11
4-13
4-18
4-20
4-25
4-27
Quantization of Maxwell’s Equations
Fock States, Linear and Angular Momentum
(L.Davis at SPIE conference 1-22 to 1-25)
Phase in quantum optics
Coherent states
Squeezed states; Quantum Dynamics (catch-up class)
Mixed States; Chaotic State
Coherent State Representation
(L.Davis at Biophys. Soc. conference 2-12 to 2-17)
Young’s Experiment; First Order Coherence
Higher Order Coherence
Take Home Midterm Test (Lectures 1-8) (Due 4 p.m. CST, 3-4)
(L.Davis at Pittcon conference 2-27 to 3-6)
Hanburry-Brown Twiss; Cross-Spectral Density
Propagation of Coherence; Change of Spectrum with Propagation
(L.Davis at Abbott Labs 3-9 to 3-11)
Stationarity, Homogeneity, Isotropy; Photon Localization
Photon Counting
Beam Splitters; Interferometers
Einstein-Podolsky-Rosen Paradox; Bell’s Inequality; Transactional Interpretation
Entanglement
Quantum Cryptography and Teleportation
Quantum Computing
Atom-radiation interaction; Minimal coupling Hamiltonian
Atomic second quantization; Perturbative transition rates
Spontaneous decay; Photon detection
Representations; Schrodinger and Interaction Picture calculations
Quantum derivation of Optical Bloch Equations
Damping mechanisms; Motion on the Bloch sphere; Pulse propagation; Maxwell-Bloch Equations;
Solitons; Cooperative atomic behavior; Photon Echoes; Super fluorescence; Superradiance
27
5-2
Final Exam
(Note that for this class, the “spring break” will be the week of Feb 27 to Mar 3 as I will be at a conference this week.
It will be necessary to hold class during the designated spring break period.)