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

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156 Sound propagation <strong>in</strong> presence of a one-dimensional optical lattice<br />

∆n<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 1 2 3 4 5 6 7 8<br />

bTP /w<br />

Figure 11.11: The signal amplitude ∆n as a function of the barrier parameter bTP /w at gn =<br />

0.5ER. Dashed l<strong>in</strong>es: s =0measured at t = 100¯h/ER (upper dashed l<strong>in</strong>e) <strong>and</strong> t = 200¯h/ER<br />

(lower dashed l<strong>in</strong>e). Solid l<strong>in</strong>es: s =15measured at t = 100, 200, 300, 400¯h/ER for s =15.<br />

The correspond<strong>in</strong>g four l<strong>in</strong>es exactly overlap.<br />

∆n(˜gnm ∗ π 2 /2mER) 1/2<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 1 2 3 4 5 6 7 8<br />

bTP /w<br />

Figure 11.12: Same data as <strong>in</strong> Fig. 11.11. The amplitudes are rescaled to demonstrate the<br />

universal behavior <strong>in</strong> the l<strong>in</strong>ear regime.

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