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

66 Stationary states of a BEC in an optical lattice
d|ϕjk(z)| 2
3
2
1
0
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
3
2
1
0
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
3
2
1
a)
b)
c)
0
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
z/d
Figure 6.2: Density profiles d|ϕjk(z)| 2 obtained from (6.3) at s =10,gn=0.5ER for band
index a) j =1,b)j =2and c) j =3at ¯hk =0(solid lines), ¯hk =0.5qB (dashed lines) and
¯hk = qB (dash-dotted lines)).
d|ϕjk(z)| 2
3
2
1
0
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
1.5
1
0.5
0
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
1.4
1.2
1
0.8
a)
b)
c)
0.6
−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5
z/d
Figure 6.3: Density profiles d|ϕjk(z)| 2 obtained from (6.3) at s =5,gn=0ER (solid lines)
and s =5,gn=1ER (dashed lines) for band index a) j =1,b)j =2and c) j =3at
¯hk =0.5qB.