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

150 Sound propagation in presence of a one-dimensional optical lattice
n(x, t)/n(x, t =0)
φ ℓ+1/2
0.01
0.005
0
−0.005
−0.01
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6
4
2
0
−2
−4
−6
x 10 −3
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Figure 11.5: Sound propagation in the linear regime without lattice for gn =0.5ER. Upper
panel: Relative density n(x, t)/n(x, t =0)at t = 480¯h/ER of the GP-simulation. Lower
panel: Relative phase as defined in (11.12) at t = 480¯h/ER of the GP-simulation
n(x, t)/n(x, t =0)
φ ℓ+1/2
0.04
0.02
0
−0.02
−0.04
0.04
0.02
−0.02
x/d
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0
−0.04
−250 −200 −150 −100 −50 0 50 100 150 200 250
Figure 11.6: Sound propagation in the linear regime with a lattice of depth s = 10 for
gn =0.5ER. Upper panel: Relative density n(x, t)/n(x, t =0)at t = 480¯h/ER of the
GP-simulation. Lower panel: Relative phase as defined in (11.12) at t = 480¯h/ER of the
GP-simulation
x/d