Overview


A. BEC in trap


  • Vortices & lattices
  • Spinor BEC
  • Collective excitations
  • Matter wave interference
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* Bosonic QHE states
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  • Dipolar condensates
  • Josephson junction arrays of BECs
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B. Fermions

  • BEC-BCS crossover and transitions
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* Nonequilibrium dynamics
  • Adiabatic and sudden detuning δ(t) changes
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* Spin-imbalanced states
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  • 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?
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    • 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?