Bose-Einstein Condensates in Rotating Traps and Optical ... - BEC
Bose-Einstein Condensates in Rotating Traps and Optical ... - BEC
Bose-Einstein Condensates in Rotating Traps and Optical ... - BEC
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128 Macroscopic Dynamics<br />
m*/m<br />
2.0<br />
1.8<br />
1.6<br />
1.4<br />
1.2<br />
1.0<br />
0 1 2 3 4 5<br />
V opt (E r )<br />
Figure 9.3: Effective mass extracted from the axial dipole mode frequency (open circles) <strong>and</strong><br />
from the axial quadrupole mode frequency (closed circles) us<strong>in</strong>g Eqs. (9.51,9.52) as a function<br />
of lattice depth Vopt ≡ s <strong>in</strong> the experiment [75]. The cont<strong>in</strong>uous l<strong>in</strong>e represents the theoretical<br />
curve (9.51), while dashed <strong>and</strong> dotted l<strong>in</strong>es correspond to the values obta<strong>in</strong>ed <strong>in</strong> [143] by<br />
numerically solv<strong>in</strong>g the GPE <strong>and</strong> evaluat<strong>in</strong>g the effective mass from the quadrupole <strong>and</strong> the<br />
dipole mode frequencies. Figure taken from [75].<br />
(Hz)<br />
200<br />
190<br />
180<br />
170<br />
160<br />
150<br />
140<br />
0 1 2 3 4 5 6<br />
V opt (E r )<br />
Figure 9.4: Frequency of the transverse breath<strong>in</strong>g mode of the condensate measured <strong>in</strong> the<br />
experiment [75] as a function of the optical lattice depth Vopt ≡ s. The dashed l<strong>in</strong>e corresponds<br />
to the expected value 2ν⊥. Figure taken from [75].