Physics 8.422 Spring 2015
Atomic
and


Room 
Tel. 

Lecturers: 
Prof. Martin Zwierlein 
26255 
3244310 
zwierlein.at.mit.edu 
Assistants: 
Kristin Beck 


Boris Braverman 
26217 



Michael Gutierrez 


Colin Kennedy 


Jennifer Schloss 
26265 

Secretary: 
Joanna Keseberg 
26237 
2536830 
Lectures: Mondays, Wednesdays
(and some Fridays 3/6)
1:002:30, Room 4163
First day of classes: Wed, 2/4
Office hours: MWZ: Wed 2:454pm, or by appointment (just send an email)
TAs: announced on problem sets, and by appointment
Homework drop off: In class, or in 26237, Monday 1pm
Term papers due: Thursday, 5/14/2013 (day of last class) Please email to MWZ
Main topics:
·
Quantum states and dynamics of photons
·
PhotonAtom interactions: semiclassical approximations, optical Bloch
equations
·
Applications and limits of the optical Bloch equations: dressed atoms,
light force, decoherence
·
Cold atoms, quantum states, and quantum dynamics; ion traps, magnetic
traps, evaporative cooling, BoseEinstein condensation, degenerate Fermi gases,
interatomic interactions, Feshbach resonances, ultracold atoms in optical
lattices
Web Site for 2013 Web Site for 8.421
Atomic Physics Wiki with Typed Lecture Notes
Homework
updated HW1 due
Feb 23, 1pm in class 
Solutions 
HW2 due Mar 2, 1pm in
dropbox folder 
Solutions 
updated HW3 due Mar
11, 1pm in class or Dropbox 
Solutions 
HW4, due Mar 16, 1pm in class
or dropbox 
Solutions 
HW5, due Mar 30, 1pm in class
or dropbox 
Solutions 
HW6, due Wednesday, April 8th 
Solutions 
HW7, due
Wednesday, April 15th 
Solutions 
HW8, due Wednesday, April
22^{nd} 
Solutions 
HW9, due Wednesday, April
29^{th} 

HW10, due Wednesday,
May 6^{th} 

MIT Stellar grade management Course requirements
Course info and calendar Recommended books
Course outline
1. Introduction, atomlight Hamiltonian (L12)
2. Quantum light: states and dynamics (L36)
3. Photonatom interactions (L78)
4. Optical Bloch equations (L912)
5. Light forces (L1315)
6. Ion traps (L1617)
7. BoseEinstein Condensates and Ultracold Atoms (L1825)
Class Notes and additional
reading material:
A Brief
History of Atomic Physics: See D.
Kleppner, RMP 71, S78, 1999
Papers: Lamb
Shift paper, Rabi’s
Hydrogen Hyperfine paper
Recent
advances in AMO physics
Topics of this
course
8.421 vs. 8.422
Requirements
1.1 Lorentz Model
1.2 Einstein Model
2 Classical Electrodynamics
2.1 Maxwell’s and Lorentz
equations
2.2 Vector potential
2.3 Electrodynamics in
reciprocal space
2.4 Normal variables
2.5 Quantization of the
E&M field
2.6 Total Hamiltonian and
Momentum
2.7 State Space
2.8 The Dipole Interaction
Reading:
The discussion follows the
appendix in Atom –Photon Interactions.
Please read pp. 621 – 643 Download
Further
reading:
A 500page derivation and
discussion of the basic equations of QED can be found in
CohenTannoudji, Claude, DupontRoc, Jaques, and Grynberg, Gilbert, Photons & Atoms, WileyInterscience, 1997.
Handouts:
Loudon, chapter 3; Weissbluth, 4.44.8
Further
reading:
Yamamoto and Rempe
group papers (example of single photon g^{(2)}(tau) meas.)
Yamamoto paper on Generation
of number states
Wigner function: Term
paper by Boris Braverman, lots of visual examples, including reconstruction
via homodyne detection, plus lots of references
Further reading:
Weissbluth,
4.9 . Section on squeezed states
H.J.
Kimble, Quantum fluctuations in quantum
optics, in Les Houches 1990. Extensive
and advanced treatment of squeezed light.
R.W. Henry and S. C. Glotzer, A
squeezedstate primer, Am. J. Phys. 56, 318
(1988). Basic discussion
using only elementary quantum mechanics.
M.C. Teich and B. E. A. Saleh Squeezed
and AntiBunched Light, Physics Today, June
1990. Popular article on
nonclassical light.
Generation of squeezed states, classical squeezing
F.
DiFilippo et al, Classical Amplitude Squeezing for Precision
Measurements. PRL, 68, 2859 (1992).
Teleportation
A.
Furusawa et al, Unconditional Quantum Teleportation.
Science, 282, 706 (1998) .
Beam splitter and homodyne detection
B.L. Schumaker, “Noise in homodyne
detection”, Optics Letters 9, 189 (1984)
Experiments with squeezed light
LingAn Wu, H.J. Kimble, J.L. Hall, H. Wu, “Generation of Squeezed States by
Parametric Down Conversion”, PRL 57, 2520 (1986)
Min Xiao, LingAn Wu, H.J. Kimble, “Precision Measurement beyond the
ShotNoise Limit”, PRL 59, 279 (1987)
E.S. Polzik, J. Carri, H.J. Kimble, “Spectroscopy with Squeezed Light”,
PRL 68, 3020 (1992)
C. A. Sackett, D. Kielpinski, B. E. King, C. Langer,
V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland,
C. Monroe, “Experimental
entanglement of four particles”, Nature 404, 256 (2000)
Excerpts from Nielsen and Chuang Quantum Computation
and Quantum Information on Schmidt
Decomposition
Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone, “QuantumEnhanced
Measurements: Beating the Standard Quantum Limit”, preprint
quantph/0412078
Proposal for atom interferometry:
P. Bouyer, M. A. Kasevich, “Heisenberglimited
spectroscopy with degenerate BoseEinstein gases”, PRA 56, R1083 (1997)
Creation of correlated states with BoseEinstein
condensates:
J.M. Vogels, J. K. Chin, and W. Ketterle, “Coherent
Collisions between BoseEinstein Condensates”, PRL 90, 030403 (2003).
Further reading on HW4: Note on g_2 for atoms and light
Reading: some pages from Gordon Baym, Lectures on Quantum Mechanics
PRL on HBT
experiment with cold atoms
2007 Nature paper
2014 Science paper on HBT with two atoms in a doublewell
Daniel Kleppner, Inhibited Spontaneous Emission, PRL 47, 233 (1981)
Lecture notes on WignerWeisskopf treatment
Further reading:
API Complement C_{I}, Discrete Level Coupled to a Broad Continuum, pp. 4966
Further
reading:
Van
der Waals interaction: API 118126
four pages
course notes from Dan Kleppner
Physics
Today paper by L. Spruch (Nov. 1986, p. 37)
Further reading:
Copies from Serge Haroche’s summer school notes
Jaffe paper on Casimir force and zeropoint energy
API Chapter 3
Further reading: J. Dalibard, J. DupontRoc and C. CohenTannoudji, Vacuum fluctuations and radiation reaction: identification of their respective contributions, J. Physique 43, 16171638 (1982).
API Chapter IV
API Chapter V