Physics 8.422

 

Atomic and optical Physics

(2007)

 

 

 

Room

Tel.

e-mail

Lecturers:

Prof. Wolfgang Ketterle

26-243

253-6815

ketterle@mit.edu

 

Prof. Isaac Chuang

26-251

253-1692

ichuang@mit.edu

Assistants:

Andrew Grier

26-223

452-5092

agrier@mit.edu

 

David Leibrandt

26-201

324-2367

dleibran@mit.edu

 

Patrick M Medley

26-269

452-4431

medley@mit.edu

 

Gyu-Boong Jo

26-253

253-7613

gyuboong@mit.edu

 

Andre Schirotzek

26-255

253-2518

schiro@mit.edu

Secretary:

Joanna Keseberg

26-237

253-6830

j_k@mit.edu

 

Lectures:     Monday, Wednesday, (sometimes Friday) 11:00am-12:30pm, Room 4-159

                        First day of classes: Wed, 2/7

Office hours:  by appointment (just send an e-mail ….)

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

 

MIT grade management

Recommended books     Course requirements

Web site and course outline 2005

New: MIT Atomic Physics Wiki  (certificates needed)

 

Assignments:

Assignment 1

due Friday 2/16

Solutions

Assignment 2

due Wednesday 2/28

Solutions

Assignment 3

due Wednesday 3/07

Solutions

Assignment 4

due Wednesday 3/14

Solutions

Assignment 5

due Friday 3/23

Solutions

Assignment 6

due Wednesday 4/4

Solutions

Assignment 7

due Wednesday 4/11

Solutions

Assignment 8

due Wednesday 4/18

Solutions

Assignment 9

due Wednesday 4/25

Solutions

Assignment 10

due Wednesday 5/2

Solutions

Term paper

due Wednesday 5/16

 

 

Course Calendar

Classes follow the usual MIT Mon-Wed schedule with the following exceptions:

No class on Wed 2/14, Tue 2/20, Mon 4/23, Wed 5/9

Classes are scheduled on the following Fridays:  2/16, 2/23, 3/2, 4/27, 5/11

 

 

Covered Topics

1. Introduction (L1-3)

      1. Classical molasses and beam slowing      notes

                        Handouts:

·              Lecture Notes  Download

·              W.D. Phillips, Varenna notes  Download

·              S. Chu et al., Molasses  Download

      2. The basic Hamiltonian      notes

                  Viewgraphs used in class:  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.

2. Quantum light: states and dynamics (L4-8)

       1. Photons and statistics      notes

       2. Non-classical light      notes

       3. Single photons      notes

       4. Entanglement      notes

       5. Interferometry and Metrology      notes

      6. Atom correlations and g(2)    Lecture notes

                  Nature paper on 2007 experiment

                  Copies from Gordon Baym’s quantum mechanic book on HBT experiment with atoms

3. Photon-atom interactions (L9-12)

      1. Casimir force    Lecture notes

                  Copies from Serge Haroche’s summer school notes
                  Jaffe paper on Casimir force and zero-point energy

      2. Interaction processes between photons and atoms

                  This chapter is based on the book Atom-Photon Interactions

                  1 Feynman diagrams

                              see pp. 15-21 and Complement A_I

                  2 Absorption, emission, scattering

                              see pp. 67-93

                  3 Resonant scattering

                              see pp. 93-97 and pp. 226 ff.

      3. Van der Waals Interaction

                              see pp. 121-126

:           four pages course notes from Dan Kleppner

            Physics Today paper by L. Spruch (Nov. 1986, p. 37)

      4. Single-photon single-atom: Cavity QED

 

4. Optical Bloch equations (L13-15)

       1. Derivation      notes

       2. Solutions: transient and steady state      notes

      3. Absorbed energy API p. 369

       4. Unraveling quantum open system dynamics      notes

5. Light forces (L16-19)

     1. Mean radiation forces API pp. 370 - 379

Further reading on friction force in a standing wave

C. Cohen-Tannoudji, Les Houches 1990, pp. 34-35

J.P. Gordon and A. Ashkin, PRA 21, 1606 (1980)

     2. The dressed atom approach

            Reading:  API Chapter VI – worth reading!

     3. Dipole forces within the dressed atom picture

Lecture notes

Important paper:

J. Dalibard and C. Cohen-Tannoudji, J. Opt. Soc. Am .B 2, 1707 (1985)

     4. Spontaneous light force traps

Magneto-optical trap, Optical Earnshaw theorem

Reading:  pp. 316-335 of the paper which was already used in lecture 1

            (Nice summary on both dipole traps and radiation pressure traps)

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

Original papers:

            Optical Earnshaw theorem (OET):  Ashkin and Gordon

            How to circumvent the OET:  Pritchard et al.

            Realization of the MOT:  Raab et al.

6. Ion traps and quantum information (L20-23)

       1. Laser cooling of trapped ions      notes

       2. Quantum control and trapped ions      notes

       3. Quantum computation and trapped ions      notes

       4. Quantum simulation and trapped ions     

7. Techniques for ultralow temperatures (L24)

       1. Sub-Doppler and Sub-Recoil cooling

      2. Magnetic trapping

Further reading: W. K., D.S. Durfee, D.M. Stamper-Kurn, Varenna Lecture Notes 1999, pp. 80-89

      3. 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

      Slides on magnetic trapping and evaporative cooling

8. Bose-Einstein condensation (L25-26)

      Slides

Further reading:  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

9. Mott insulator transition

10. Ultracold Fermi gases (L27)

      Slides on MI transition and BEC-BCS crossover in ultracold fermions

 

 

 

 


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