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What should we be thinking about and why?
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Overview
A. BEC in trap
Vortices & lattices
Spinor BEC
Collective excitations
Matter wave interference
>
* Bosonic QHE states
>
Dipolar condensates
Josephson junction arrays of BECs
>
B. Fermions
BECBCS crossover and transitions
>
* Nonequilibrium dynamics
Adiabatic and sudden detuning δ(t) changes
>
* Spinimbalanced states
>
Unitary limit
C. Optical lattices
SFMI
Fermions
Strong dc field
“exotica”: transcription of models
Questions
1. Nonequilibrium manybody physics:
quench between two macrostates
Timescales for “coarsening”?
Is this quantum?
near quantum critical point the dynamics is never purely classical if temperature is not too high
Boseenhancement is quantum phenomenon but this just allows for a classical description
Is the ensuing dynamics generically classical?
>> >>>
How slow do we need to go?
Rabi oscillations versus classical coarsening?
What is the thermalization time scale?
2. Long scale inhomogeneities/trap
Is there something interesting physics here or is just annoying?
Edge states?
Physics at interfaces between two phases
Equilibration of inhomogeneous system? Different temperatures across trap?
Heterostructures?
Can inhomogeneity be removed?
3. Engineering effective magnetic fields?
Berry’s phase in internal degree of freedom?
Time varying potential in optical lattice
Exotic models with flat bands, similarities to QHE
4. Probes of states
Time of flight
RF spectroscopy A(q.ω)
Bragg spectroscopy S(q,ω)
Noise
Speciesspecific optical potentials/lattices
5. Thermometry and Cooling
How can we cool to temperature below t^2/U?
Cooling SF is easy but cooling Mott state is hard
Preparation of pure initial states?
6. BCSBEC on lattice
7. Efimov states: many body physics?
Suppress BCS paired state to observe more exotic states
8. Heteronuclear molecules
Wigner crystal
Supersolids on triangular lattice
Molecules with larger mass ratios than RbLi can be done using lattices to create large effective masses
On lattices with small filling fraction, interplay with lattice?
Are there novel phases?
Imbalance between species?
9. Disorder
10. Lowdimensional systems
11. Are there interesting questions to be answered by experiments beyond what is theoretically understood, e.g. at the meanfield level?
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Overview
A. BEC in trap
 Vortices & lattices
 Spinor BEC
 Collective excitations
 Matter wave interference
>* Bosonic QHE states
>
 Dipolar condensates
 Josephson junction arrays of BECs
>B. Fermions
 BECBCS crossover and transitions
>* Nonequilibrium dynamics
 Adiabatic and sudden detuning δ(t) changes
>* Spinimbalanced states
>
C. Optical lattices
Questions
 quench between two macrostates
 Timescales for “coarsening”?
 Is this quantum?
 near quantum critical point the dynamics is never purely classical if temperature is not too high
 Boseenhancement is quantum phenomenon but this just allows for a classical description
 Is the ensuing dynamics generically classical?
>> >>>