Homework Assignment #7
Physics 8.422, Spring 2005, Prof. W. Ketterle
Due Friday, April 8.
1. Classical Model of the Light Force
Assume that a hydrogenic atom can be modeled classically as an electron harmonically bound to a nu
cleus, with a resonant freq
Homework Assignment #4
Physics 8.422, Spring 2005, Prof. W. Ketterle
Due Friday, March 11.
1. Hanbury Brown and Twiss Experiment with Atoms
This problem illustrates the coherence and collimation requirements for performing a HBT experiment
with atoms. (N
Atomic Physics II (8.422)
Prof. Wolfgang Ketterle
Spring 2005
Problem Set 9
Due Friday, April 22
THE MAGNETO-OPTICAL TRAP
1. 1-D MOT. The motion of an atom in a one-dimensional magneto-optical trap
obeys the equation of a damped harmonic oscillator:
z +
Atomic Physics II (8.422)
Spring 2005
Problem Set 3
Due Friday, March 4th 2005
1. Measures of pure state entanglement
Entanglement is a property of a composite quantum system that cannot be changed by
local operations and classical communications. How do
8.422 Atomic Physics II
Prof. Wolfgang Ketterle
Spring, 2005
Assignment #2
Due: Friday, February 25, 2005
1. Classical Coherence of Light
Consider a classical light eld. The classical expressions for rstorder and secondorder coherence are
g (1) ( )
g (2
8.422 Atomic Physics II
Prof. Wolfgang Ketterle
Spring, 2005
Assignment #1
Due: Friday, February 11, 2005
Consider the following questions for Na. Try to plug in numbers after obtaining an analytical expres
sion.
Na oven temperature T = 600K
natural line
Atomic Physics II (8.422)
Prof. Wolfgang Ketterle
Spring 2005
Problem Set 6
Due Friday, April 1 no fooling
1. Optical Bloch Equations
The time independent form of the optical Bloch equations [ref: CohenTannoudji,
AtomPhoton Interactions, p. 359], includin
Atomic Physics II (8.422)
Prof. Wolfgang Ketterle
Spring 2005
Problem Set 8
Due Friday April 15
THE DRESSED ATOM
We will derive and examine the dressed states of the atom + eld system. We use
the Hamiltonian
h
H=
2
o
1 eiL t
iL t
1 e
o
where ho is the sep
Atomic Physics II (8.422)
Ketterle / Chuang
Spring 2005
Problem Set 10 REVISED
Due Wednesday, May 4 (just in time for Cinco de Mayo)
1. Decoherence and the Operator Sum Representation
Our study of decoherence has centered around the master equation, but i
8.422 Atomic Physics II
Prof. Wolfgang Ketterle
Spring 2005
Problem Set 5 Van der Waals Interaction and Casimir Eect
Due: March 18, 2005
Problem 1. Long-range (Van der Waals) interaction b etween ground-state atoms
The electrostatic interaction between a
