Bose-Einstein Condensates in Rotating Traps and Optical ... - BEC

9.5 Small amplitude collective oscillations in the presence of harmonic trapping 127
ω/2πHz
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10
Figure 9.1: Frequency of the small amplitude center-of-mass oscillation as a function of lattice
depth s for the experimental setting [73]. The circles display the experimental data reported
in [73]. The solid line refers to the theoretical prediction (9.51).
quadrupole (Hz)
14
13
12
11
10
s
6.5 7.0 7.5 8.0 8.5 9.0
dipole (Hz)
Figure 9.2: Frequency of the axial quadrupole mode of an elongated condensate trapped in the
combined potential of harmonic magnetic trap and 1D optical lattice as a function of the axial
dipole mode frequency measured for different values of the optical lattice depth from 0ER to
4.1ER in the experiment [75]. The line represents a linear fit with a slope of 1.57 ± 0.01.
Figure taken from [75].