Bose 2.2 User Manual Page 65

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and depends only on the time
t
pulse
and the lattice depth
U
lat
via the lattice param-
eter
Q
=
U
lat
/
(4
E
R
). The normalization of the relative populations
P
n
is given by
P
n
max
n
max
P
n
(Q, t
pulse
) = 1, where n
max
is the highest populated diffraction order.
t
pulse
0.2 µs
0.7 µs
1.2 µs
1.7 µs
2.2 µs
9.2 µs
7.2 µs
z
y
Fig. 4.3, Diffraction of a BEC from a light grating:
Each line in the picture
corresponds to a single absorption image, taken after a 6
ms
TOF. The pulse
time
t
pulse
is increased from 0
.
2
s
to 9
.
2
s
in steps of 0
.
5
s
. The field of view
of a single absorption image is 67
m ×
1
.
2
mm
in the
y
- and the
z
-direction,
respectively.
In Fig. 4.3, we show the recorded absorption images, taken for a variable time
t
pulse
after a 6
ms
TOF. In the first image, at the time
t
pulse
= 0
.
2
s
, almost all the atoms are
found in the zeroth order momentum component, resembling an unperturbed BEC. When
increasing
t
pulse
, we observe that higher order momenta are populated, until the maximum
order
n
max
= 6 becomes visible at
t
pulse
3
.
2
s
. The populations
P
n
then undergo
oscillations, until at
t
pulse
7
.
2
s
the zeroth order exhibits a (non-perfect) revival, the
populations in all the higher diffraction orders becoming small. In the final pictures (after
t
pulse
6
.
2
s
), we observe a slight asymmetry in the populations
±n
, which is not in
agreement with theory. This indicates a small misalignment of the lattice laser beams.
65
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