Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
October 19, 2010
2
Chapter 9
Feshbach resonance
9.1
Scattering length, Tmatrix, and scattering
amplitude
Systems of ultra
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 5
Atoms in optical lattices
Optical lattices provide a powerful tool for creating strongly corr
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 4
Spinor condensates
4.1
Two component mixtures
We consider two species of bosons. This may be
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 3
BoseEinstein condensation
of weakly interacting
atomic gases
3.1
Bogoliubov theory
Microscop
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Synopsis.
This course reviews recent progress in realizing strongly correlated manybody
systems with u
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 2
Atoms in external eld.
Magnetic and optical
trapping of atoms
2.1
Atomic structure of alkali
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 6
Bose Hubbard model
6.1
Qualitative arguments
We consider spinless bosonic atoms in an optical
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
September 30, 2010
2
Chapter 7
Quantum magnetism with
ultracold atoms in optical
lattices
7.1
Two component Bose mixture i
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
November 17, 2010
2
Chapter 14
Fermionic Hubbard model
14.1
Strongly correlated electron systems and
the Hubbard model
Hub
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
November 9, 2010
2
Chapter 13
Pairing with spin imbalance
In the Chapter we discuss the situation when pairing arises on t
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 12
Collective modes in
interacting Fermi systems
12.1
Collective modes and response functions.
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
January 25, 2011
2
Chapter 8
Quantum noise
measurements as a probe of
manybody states
8.1
Quantum Noise
Analysis of noise
Strongly correlated systems in atomic and condensed matter physics
PHYS 284

Fall 2010
Strongly correlated systems
in atomic and condensed matter physics
Lecture notes for Physics 284
by Eugene Demler
Harvard University
November 5, 2010
2
Chapter 11
Fermion pairing close to
Feshbach resonance. The
BCSBEC crossover.
11.1
BCS model in electr