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BEC in an Optical Potential

BEC in an Optical Potential. Optical Potential. Second order perturbation theory:. Scattering rate:. Many-Body Hamiltonian. Negligible Interactions. Bloch Theorem: periodic potential. Limiting Cases. Weak Lattice: Bandgap. Wave functions:. Near boundary:.

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BEC in an Optical Potential

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  1. BEC in an Optical Potential

  2. Optical Potential Second order perturbation theory: Scattering rate:

  3. Many-Body Hamiltonian

  4. Negligible Interactions Bloch Theorem: periodic potential

  5. Limiting Cases Weak Lattice: Bandgap Wave functions: Near boundary: Tight Binding: Harmonic potential Wannier functions Eigenstates

  6. Simulations 0 5

  7. Rabi Oscillations k,ω1 -k,ω2 OR: Lattice fixed, and quasimomentum of BEC is non zero

  8. Adiabatic Versus Sudden Release Adiabatic:

  9. Bloch Oscillations & Landau Zener Tunneling 1.2 ms

  10. Weak Interactions - GPE Can solve and find: If interactions are weak:

  11. GPE Bloch Wave with no linear counterpart: Bloch waves are not only solutions!

  12. In lack of lattice: Landau Instability

  13. Dynamical Instability If v=0

  14. Dark: Dynamical Instability Light: Landau Instability Triangles: V=0 Circles:

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