Physics
8.422 Spring 2017
Atomic
and
|
|
Room |
Tel. |
e-mail |
Lecturers: |
Prof. Wolfgang Ketterle |
26-243 |
253-6815 |
|
Prof.
Isaac Chuang |
26-251 |
253-1692 |
||
Assistants: |
Sergio
Cantu |
26-348 |
||
|
Woo
Chang Chung |
26-269 |
||
|
Junru Li |
26-259 |
||
|
Jules
Stuart |
26-327 |
||
|
Zackary
Vandeiro |
26-217 |
||
Secretary: |
Joanna
Keseberg |
26-237 |
253-6830 |
Lectures: Mondays, Wednesdays (and some Fridays)
See calendar for
schedule: Course info and
calendar
1:00-2:30, Room 26-142
First day of classes: Wed, 2/8
Office hours: Wolfgang Ketterle: Wed 2:30-3:30 or by appointment (just send an e-mail ….)
TAs: announced on problem sets, and by appointment
Homework:
Homework drop off: In class, or in 26-237
Paper HW #1 due March 13 Solutions
Paper HW #2 due May 5 Solutions
Link to feedback questionnaire
Due dates:
Module 4: May 1 HW #1, #2, May 5 Paper HW, May 8 HW #3, #4
Module 5, Problem set #1 (time-of-flight expansion) due 5/17
Term papers due: 5/18
Main topics:
· Quantum states and dynamics of photons
· Photon-Atom interactions: basics and semiclassical
approximations
· Photon-Atom interactions: open system dynamics, optical
Bloch equations
· Applications and limits of the optical Bloch
equations: dressed atoms, light force, decoherence
· Cold atoms, quantum states, and quantum dynamics:
quantum algorithms and protocols, ion traps,
magnetic traps, evaporative cooling,
Bose-Einstein condensation
Web Site for 2013 2015 (Martin Zwierlein) Web Site for 8.421
Atomic Physics Wiki with Typed Lecture
Notes
MITx site for 8.421 with lecture videos and online problems
Module 1:
https://courses.edx.org/courses/course-v1:MITx+8.422.1x+1T2017/info
Module 2:
Module 3:
https://courses.edx.org/courses/course-v1:MITx+8.422.3x+1T2017/info
Module 4:
https://courses.edx.org/courses/course-v1:MITx+8.422.4x+2T2017/info
Module 5:
https://courses.edx.org/courses/course-v1:MITx+8.422.5x+2T2017/course/
For gain access to the MITx course site, please enter your edx user ID here:
MIT Stellar
grade management Course
requirements
Course info and calendar Recommended books
Module 1: Quantum States and Dynamics of Photons
Topic
1: Photons and Statistics
Class notes
2013: Quantum states of light
clicker questions 2/15/2017
Book
chapters:
Loudon, chapter 3; Weissbluth, 4.4-4.8
Further
reading:
·
Yamamoto
and Rempe group papers (example of single photon g(2)(tau)
measurement)
·
Yamamoto
paper on Generation of number states (see the nice quasi probability plots)
·
Kimble/Mandel
1977 paper: first antibunching of photons
·
Scully
paper: what is a photon, and why the
photoelectric effect can be understood semi-classically
·
The
Dual Nature of Light as Reflected in the Nobel Archives link
Topic
2: Non-classical light and squeezed states (2/21)
Class notes 2013: Non-classical light
Book
chapters:
Weissbluth, 4.9 . Section on squeezed states
Further
reading:
·
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
squeezed-state 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 non-classical light.
·
Generation
of squeezed states, classical squeezing: F. DiFilippo
et al, Classical Amplitude Squeezing for Precision
Measurements. PRL, 68, 2859 (1992).
·
Teleportation: 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
o Ling-An
Wu, H.J. Kimble, J.L. Hall, H. Wu, “Generation
of Squeezed States by Parametric Down Conversion”, PRL 57, 2520 (1986)
o Min
Xiao, Ling-An Wu, H.J. Kimble, “Precision
Measurement beyond the Shot-Noise Limit”, PRL 59, 279 (1987)
o E.S. Polzik, J. Carri, H.J. Kimble, “Spectroscopy with Squeezed Light”,
PRL 68, 3020 (1992)
Topic
3: Single photons (2/22)
Class notes 2013: Single photons
·
Phase
gates with single photons: Physics
Viewpoint Rempe group 1 Rempe group 2 Vuletic group
·
Quantum
logic with photons: Review
paper
·
Quantum
amplifier Caves Stenholm Wiseman
Topic
4: Entangled photons (3/1)
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
Topic
5: Interferometry and metrology (3/1)
·
Gravitational
wave detection:
C.M. Caves, “Quantum-mechanical noise in an
interferometer”, Phys. Rev. D 23, 1693-1708 (1981)
·
Heisenberg
limited interferometry
Vittorio Giovannetti, Seth Lloyd,
Lorenzo Maccone, “Quantum-Enhanced
Measurements: Beating the Standard Quantum Limit”, preprint
quant-ph/0412078
Proposal for atom interferometry:
P. Bouyer, M. A. Kasevich, “Heisenberg-limited
spectroscopy with degenerate Bose-Einstein gases”, PRA 56, R1083 (1997)
Creation of correlated states with Bose-Einstein
condensates:
J.M. Vogels, J. K. Chin,
and W. Ketterle, “Coherent
Collisions between Bose-Einstein Condensates”, PRL 90, 030403 (2003).
Topic
6: g(2) for light and atoms (3/1)
Highly recommended: Paper on photon-reduced thermal light Optics Letters 2013
Reading: some pages from Gordon Baym, Lectures on Quantum Mechanics
PRL on HBT
experiment with cold atoms 1996 paper , first such experiment
2007 Nature paper on HBT with helium atoms
Hong-0u-Mandel
effect
With
light: Two ion interference Monroe
2007
With
electrons: Perspective Paper
With
atoms: 2014
Science paper on Hong-Ou-Mandel effect with two atoms
in a double-well
With
many atoms: Greiner
entanglement 2015
Class notes (3/6/2017) on
photon measurement and how a fictitious measurement leads to a master equation
for the light
Module 2: Atom-photon interactions
Background:
The QED Hamiltonian
Viewgraphs
used in the class video: Download
Reading:
The discussion follows the
appendix in Atom –Photon Interactions.
Please read pp. 621 – 643 Download
Further reading:
A
500-page derivation and discussion of the basic equations of QED can be found
in
· Cohen-Tannoudji, Claude, Dupont-Roc, Jaques, and Grynberg, Gilbert, Photons & Atoms, Wiley-Interscience, 1997.
I would recommend consulting this book whenever you
want to know more about the “exact” formulation of the theory. I am always amazed how easily you can open
this book in the middle and still understand the explanations.
Topic
1: Interactions between light and atoms using Feynman diagrams
API
see pp. 15-21 and Complement A_I
First
example of “engineering the vacuum”:
Daniel
Kleppner, Inhibited Spontaneous Emission, PRL 47, 233
(1981)
What is a virtual photon? Web site https://www.quora.com/What-is-virtual-photon
Topic
2: van der Waals and Casimir
interactions
Class notes 2013 Class notes 2013 on Casimir force between two plates
see API,
pp. 118-126
Reading: four pages
course notes from Dan Kleppner (on Casimir force between capacitors)
Physics
Today paper by L. Spruch (Nov. 1986, p. 37)
Casmir force between two metal plates:
Copies from Serge Haroche’s summer school notes
Jaffe paper on Casimir force and zero-point energy
Concept
questions module 2 (class
notes 3/23/2017)
Topic
3: Resonant scattering
Reading: API,
Chapter III
Further reading: J. Dalibard, J. Dupont-Roc and C. Cohen-Tannoudji, Vacuum fluctuations and radiation reaction: identification of their respective contributions, J. Physique 43, 1617-1638 (1982).
Experimental
observation of non-exponential decay Raizen paper Two
theoretical papers Paper
1 Paper
2
Module 3: Optical Bloch equations and open system dynamics
Topic
1: Derivation of optical Bloch equations
Topic
2: Solutions of the optical Bloch equations - emission spectrum
Topic
3: Solutions of the optical Bloch equations - steady state and cavity QED
Reading: API
257 – 333
NEW: Quantum
Zeno effect – slow down of dynamics by decoherence: experimental
and theoretical
paper
Topic
4: Unraveling quantum open system dynamics
Original 1992 paper on QMC wave function method Link
Module 4: Laser cooling
Topic
1: Light forces
Topic
2: Applications of the spontaneous light force
Class notes 2013 part 1 part 2
Reading: API 370 – 379
First realization of molasses Link
Spontaneous light force traps
Magneto-optical
trap, Optical Earnshaw theorem
W.D. Phillips, Laser cooling and trapping of
neutral atoms, in Laser Manipulation of Atoms and Ions, edited by E. Arimondo, W.D. Phillips, and F. Strumia,
Proceedings of the International School of Physics “Enrico
Fermi”, Course CXVIII (North-Holland, Amsterdam, 1992) Download
pp. 316 – 355 has a nice summary on dipole traps and raditation pressure traps
Original papers:
Optical Earnshaw theorem (OET): Ashkin and Gordon
How to circumvent the OET: Pritchard et al.
Realization of the MOT: Raab et al.
Topic
3: Dressed atoms
Topic
4: Dipole forces within the dressed atom picture
Class notes 2013 part 1 part 2
Advanced reading on friction force in a standing
wave
pp. 34-35 in :
C. Cohen-Tannoudji, “Atomic Motion in Laser
Light”, in “Fundamental Systems in Quantum Optics”, Les Houches,
Session LIII, 1990, ed. by J. Dalibard,
J.M. Raimond and J. Zinn
Justin, pp. 1-164 (Elsevier Science Publisher B.V., 1992, Link
J.P. Gordon and A. Ashkin, PRA 21, 1606 (1980) Link
Dressed atom and dipole forces
Reading: API Chapter VI – worth reading!
Important paper:
J. Dalibard and C. Cohen-Tannoudji, JOSA B 1985 Link
Topic
5: Techniques for cooling to ultralow temperatures
Magnetic trapping
Further reading: W. K., D.S. Durfee,
D.M. Stamper-Kurn, Varenna
Lecture Notes 1999, pp. 80-89
Evaporative cooling
Further reading:: W. Ketterle and
N.J. van Druten, Adv. At. Mol. Opt.
Phys. 37, 181-236 (1986).
Relevant pages: pp. 181-193
Module 5: Ultracold atoms and ions for many-body
physics and quantum information science
Topic
1: Bose-Einstein condensation
Topic
2: : Bose-Einstein condensates in optical lattices
Class notes 2013 on Bose gases, BEC, superfluid to Mott insulator transition
Variational derivation of Gross-Pitaevski equation:
J. Rogel-Salazar. Eur. J. Phys. 34 (2013) 247–257 Link
Bose-Einstein Condensation in
Dilute Gases, C.J. Pethick and H. Smith, selected
pages
On Bogoliubov transformation and
collective excitation: pp. 205-214
On nonlinear Schrödinger equation: pp. 146-156
On hydrodynamics: pp. 165-179
New Enhancement
and suppression of spontaneous emission and light scattering by quantum degeneracy Paper
Mean field theory of the superfluid
to Mott insulator transition
D. van Oosten, P. van der Straten, and H. T. C. Stoof, PRA 63, 053601 (2001) Link
New Optical lattices (lecture summary and references by Junru Li) Link
Topic
3: Cold fermions
Class
notes 2013 on Fermi gases, BEC-BCS crossover
Varenna notes on ultracold fermions Link
Topic
4: Trapped ions
Class notes 2013 on ion trapping and quantum gates
New Cirac-Zoller gate Paper
New Molmer-Sorenson gate Paper1 Paper2