Difference between revisions of "Optical lattice"

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One more realization are phase and amplitude modulated lattices.
 
One more realization are phase and amplitude modulated lattices.
 
===Superlattice===
 
===Superlattice===
Bloch group has a lattice with two periods and it is created by two lasers 767 and 1534 nm. <math> V_1\sin^2(kx+\phi/2)+V_2\sin^2(kx+\pi/2)</math>
+
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]]
 
[[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: V(x)=V_0 cos^2(kx) [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:V(x)=V_0 cos^2(kx -\frac{\delta \omega}{2}t) 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.  V_1\sin^2(kx+\phi/2)+V_2\sin^2(kx+\pi/2)

References

  1. Inguscio, M., & Fallani, L. (2013). Atomic physics: precise measurements and ultracold matter. OUP Oxford.
  2. Inguscio, M., & Fallani, L. (2013). Atomic physics: precise measurements and ultracold matter. OUP Oxford.