Difference between revisions of "Optical lattice"
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===Time-varying lattices=== | ===Time-varying lattices=== | ||
In some experiments it is required to modify lattice in time domain (see p 206 <ref>Inguscio, M., & Fallani, L. (2013). Atomic physics: precise measurements and ultracold matter. OUP Oxford.</ref>). In order to create a time-varying potential two beams with slightly different frequencies are used (ω and δω). The frequency mismatch will lead to a potential:<math>V(x)=V_0 cos^2(kx -\frac{\delta \omega}{2}t)</math> | In some experiments it is required to modify lattice in time domain (see p 206 <ref>Inguscio, M., & Fallani, L. (2013). Atomic physics: precise measurements and ultracold matter. OUP Oxford.</ref>). In order to create a time-varying potential two beams with slightly different frequencies are used (ω and δω). The frequency mismatch will lead to a potential:<math>V(x)=V_0 cos^2(kx -\frac{\delta \omega}{2}t)</math> | ||
| − | One more realization are phase and amplitude modulated lattices. | + | One more realization are phase and amplitude modulated lattices. |
| + | ===Superlattice=== | ||
| + | Bloch group has a lattice with two periods and it is created by two lasers 767 and 2*767=1534 nm. <math> V_1\sin^2(kx+\phi/2)+V_2\sin^2(kx+\pi/2)</math> | ||
| + | |||
=References= | =References= | ||
| + | [[Category:BEC]] | ||
Latest revision as of 14:34, 25 February 2020
Optical lattices are created to hold atoms in a periodic 2d structure via dispersive force.
The simplest realization of an optical lattice is a standing wave produced by two counter-propagating beams. The potential has the form: 
[1]
Special optical lattices
Time-varying lattices
In some experiments it is required to modify lattice in time domain (see p 206 [2]). In order to create a time-varying potential two beams with slightly different frequencies are used (ω and δω). The frequency mismatch will lead to a potential:
One more realization are phase and amplitude modulated lattices.
Superlattice
Bloch group has a lattice with two periods and it is created by two lasers 767 and 2*767=1534 nm. 
