1 / 17

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:.

Download Presentation

BEC in an Optical Potential

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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:

More Related