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BEC in an Optical Potential

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Weak Lattice: Bandgap. Wave functions: Near boundary: Tight Binding: Harmonic potential ... OR: Lattice fixed, and quasimomentum of BEC is non zero. Adiabatic ... – PowerPoint PPT presentation

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Title: BEC in an Optical Potential


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,?1
-k,?2
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
(No Transcript)
12
GPE
Bloch Wave with no linear counterpart
Bloch waves are not only solutions!
13
Landau Instability
14
Dynamical Instability
If v0
15
Dark Dynamical Instability Light Landau
Instability Triangles V0 Circles
16
(No Transcript)
17
(No Transcript)
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