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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].

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