What+should+we+be+thinking+about+and+why?

=Overview=

A. BEC in trap
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 * Vortices & lattices
 * Spinor BEC
 * Collective excitations
 * Matter wave interference
 * Bosonic QHE states
 * Dipolar condensates
 * Josephson junction arrays of BECs

B. Fermions
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 * BEC-BCS crossover and transitions
 * Nonequilibrium dynamics
 * Adiabatic and sudden detuning δ(t) changes
 * Spin-imbalanced states
 * Unitary limit

C. Optical lattices

 * SF-MI
 * Fermions
 * Strong dc field
 * “exotica”: transcription of models

=Questions= > >> >>>
 * 1. Non-equilibrium many-body physics:
 * quench between two macrostates
 * Time-scales for “coarsening”?
 * Is this quantum?
 * near quantum critical point the dynamics is never purely classical if temperature is not too high
 * Bose-enhancement 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
 * Species-specific 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. BCS-BEC 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 Rb-Li 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. Low-dimensional systems


 * 11. Are there interesting questions to be answered by experiments beyond what is theoretically understood, e.g. at the mean-field level?