General Information
Syllabus
Lecture Schedule
Problem Sets
Final Project
Lecture: Physics and Astronomy, Room 5, 11:00-11:50 AM
Instructor: Prof. Ivan Deutsch
Phys/Astro Room 23, Phone: 277-8602
email: ideutsch@unm.edu
Office Hours: TBA
Prerequist: Physics 521-522 (Graduate Quantum Mechanics I&II)
Grading:
Problem Sets: 70%
Problem sets will be distributed approximately every other a week and due in class Wednesdays.
Final Project 30%
During the last quarter of the semester you will do a research project on a contemporary subject in atomic/molecular physics and write a review article.
Texts:
Official text: Atomic Physics, by B. H. Christopher J, Foot
This is modern AMO physics text, really at the undergraduate level, but covering modern topics such as laser cooling and trapping, Bose-Einstein consendation, and quantum computing with atoms.
Secondary text: Physics of Atoms and Molecules, by B. H. Bransden and C.J. Joachain.
This text is very comprehensive, covering the broad subject matter. It's level is a bit elementary though. We will not be following it directly, but will use it from time to time.
Other texts:
I. One Electron-Like Atoms (3 weeks)
A. Hydrogen and Hydrogenic atoms
B. Alkali atoms
C. Fine and hyperfine structure
II. Interaction of atoms with E&M field (3 weeks)
A. Tensor operators and Wigner-Eckart
B. Multipoles and selction rules
C. Stark and Zeeman effects
D. Absorption and emission as rate processes
E. Coherent coupling: Rabi flipping and Optical Bloch equations
III. Multielectron Atoms (2 weeks)
A. Identical particles and Pauli exclusion principle.
B. Central field approximation: Helium and periodic table.
C. Mean field: Hartree-Fock.
D. Correlation effects: Russel-Sanders and jj coupling
V. Laser cooling and trapping (5 weeks)
A. Light forces on atoms
B. Doppler and sub-Doppler cooling
C. Magneto-Optical Trap
D. Optical Lattices
E. Ion traps
VI. Bose-Einstein Condensation etc. (2 weeks)
A. Evaporative cooling
B. Atomic gas BEC
C. Fermi degernate gases
Tentative Schedule of Lectures
Date
Topic
Reading
Aug. 22
Introduction: Atomic Units, Hydrogen
Foot - Ch. 1,2
Notes 1
Podcast 1
Lewandowski: Atomic Units
Aug. 24
Hydrogen and hydrogenic atoms continued
Podcast 2
Special Notes from S. Weinberg SO(4) symmetry and hydrogen
Aug. 26
Review: Perturbation theory and the Quadratic Stark Effect
Bransen & Joachian - Ch. 6.1
Notes 2
Podcast 3
Aug. 29
Review: Perturbation theory and the Linear Stark Effect
See Notes 2
Podcast 4
Aug. 31
Review: Spin, Relativistic corrections and Fine Sturcture
Foot 2.3, B&J 5.1-5.2
Notes 3
Podcast 5
Sept.7
Continuation
Review: Addition of Anugular Momentum
Angular momentum review
Podcast 6a
Podcast 6b
Sept. 9
Review: Hyperfine structure
Foot 6.1, B&J 5.3
Notes 4
Podcast 7
Sept. 12
Helium and two-electron atoms
Foot 3, B&J 7
Notes 5
Podcast 8
Sept. 14
Central field approximation
Foot 3, B&J 8.1-8.2
Notes 6
Podcast 9
Sept 19
Mean field approximation: Hatree-Fock
Foot 4, B&J 8.4
Notes 7
Podcast 10
Correlation effects: L-S (Russel-Saunders) vs j-j coupling
Energy levels of multi-electron atoms (terms)
Foot 4-5, B&J 8.5
Notes 8
Podcast 11
Sept. 26
Interaction with electromagnetic fields:
Minimal coupling to multipole expansion
Notes 9
Podcast 12
Sept. 28
Tensor operators --Rotation group
Sakurai 3.10
Notes 10
Baragiola Special Suppment
Podcast 13
Oct. 3
Podcast 14
Selection Rules (1)
Selection Rules (2)
Podcast 16
Absorption, emission, multiplets, and 6J Symbols
Notes 12
Podcast 17
Coherent evolution Rabi flopping
Foot 7
Podcast 18
Oct. 19
Bloch Sphere: Pseudo-spin picture of two-level atoms and magnetic resonance
Foot 7, Notes 13
Podcast 19
Foot 7, Notes 14
Podcast 20
Foot 7, Notes 15
Podcast 21
Oct. 31
Optical Bloch Equations (II)
Podcast 22
Saturation, photon scattering, cross sections
Podcast 23
Introduction to mechanical forces of light on atoms
Radiation Pressure and Dipole Force -- Classical Picture
Foot 9.1, 9.6
Podcast 24
Nov. 9
Radiation Pressure and Dipole Force -- Quantum Picture
Cohen-Tannoudji 1-3
Podcast 25
Nov. 14
Doppler Cooling: Optical Molasses
Foot 9.2-9.3, Phillips 1992
Podcast 26
Foot 9.4
Podcast 27
Nov. 21
Beating the Doppler Limit: Ground-state dynamics, Light-shifts, and Optical pumping
Nov. 23
Polarization Gradient Cooling and the Sisyphus effect
Nov. 28
No Class -- Travel
Nov. 30
Localization in Optical Molassess: The Lamb-Dicke effect
Dec. 5
Optical lattices
Dec. 7
No Class -- Snow day
Dec. 12
Make up: Degenerate Quantum Gases and Bose-Einstein Condensates
Problem Set #1
Due 8/31
Problem Set #4
Due 10/12
Problem Set #2
Due 9/14
Problem Set #5
Due 11/2
Problem Set #3
Due 9/28
As a final project for the class, you are required to review a topic of contemporary interest with relation to atomic physics. Some suggested topics are given below, but are by no means exhaustive. You should do a literature search using Web of Science, Google Scholar, and other online database. I can try to point you to particular key articles, depending on your interests, if you’re having trouble. The style of your paper should be a review article, such as in Reviews of Modern Physics (though shorter). You should adhere to the style guidelines of the American Physical Society - See http://pra.aps.org/info/authors.html for information on manuscript preparation. The article should be of length 5-8 double column Physical Review pages. You can download Revtex for preparation in LaTex, or use the APS MS-Word template.
DEADLINES • Nov. 11: Topic choice due: short description with a few references, emailed to me. • Nov. 12: Project approved. • Dec. 12: Final paper due (emailed to me as pdf, by 9AM)
TOPICS: A. Laser cooling and trapping of atoms 1) Doppler cooling, magneto-optic traps, polarization-gradient cooling. 2) Optical lattices: Cooling, trapping, control. 3) Ion cooling, trapping, and control.
B. Ultra-cold atoms 1) Photoassociation. 2) Ground-state collisions and ultra-cold gases (Feshbach resonances). 3) BEC of ultra-cold atoms. 4) Fermi-degenerate gases of ultra-cold atoms. 5) Creating cold-molecules from cold atoms.
C. Ultacold matter 1) Superfluidity in BEC and ultracold Fermions 2) Quantum phase transitions -- Mott insultar to superfluid QPT 3) BEC-BCS cross over 4) Dipolar quantum gases
D. Quantum information with atoms 1) Ion trap quantum computing. 2) Neutral atom quantum computing via collisions. 3) Rydberg blockade and dipole-dipole moderated quantum logic. 4) Quantum memory in atomic ensembles. 5) Cavity QED.
D. Coherent control and dynamics 1) Electron wave packets in Rydberg atoms. 2) Coherent control of molecules. 3) Signatures of classical chaos in atomic spectra. 4) Negative hydrogen ion: Fundamental 3-body problem .
E. Test of fundamental symmetries in atoms and molecules 1) Parity non-conservation in atoms. 2) Experimental determination of the Rydberg constant. 3) Time-reversal tests in atomic physics. 4) Spectroscopy of exotic atoms: positronium, muonium, anti-hydrogen.
F. Atomic clocks and precision measurement 1) Cesium frequency standard and hydrogen maser. 2) Optical frequency standards with alkaline earths. 3) Atom interferometry.
G. Atoms in high-fields 1)Atoms in intense laser fields: multiphoton ionization, tunneling, above threshold ionization. 2) Rydberg atoms in strong magnetic fields (also of interest in quantum-chaos).