Bose 2.2 User Manual Page 58

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The precise determination of the function
a
(
I
FB
) is the main goal of the calibration
procedure. However, to display the results in real physical parameters, we have to convert
the Feshbach current into a magnetic field strength. Therefore, we have performed spec-
troscopy measurements on a thermal cloud for different values
I
FB
. For our settings of
the PI controller
55
, we obtain the scaling
dB/dI
FB
= (2
.
429
±
0
.
004)
G
, where the value
I
FB
= 0
20 is given in arbitrary units used in the Labview control program. Since the
measured center of the Feshbach resonance
I
FB,0
corresponds to the magnetic field value
B
0
= 589.1 G [95], the magnetic field is fully determined
56
.
Width of the Feshbach resonance
To evaluate the width of the Feshbach resonance at
B
0
= 589
.
1
G
, we have collected
the data of 14 calibrations of the scattering length. When calculating the mean value
and the standard deviation of the single measured widths, we obtain the width
B
0
=
(1
.
49
±
0
.
09)
G
for the FR. This value is slightly lower than the theoretical prediction
B
0,theo
= 1.7 G [95].
55
Analog output voltages of National Instruments cards:
U
(
I
FB
= 0) = 0
V
,
U
(
I
FB
= 20) = 10
V
.
Converted voltages on PI controller: DVsum(I
FB
= 0) = 9.23 V and DVsum(I
FB
= 20) = 9.96 V.
56
The minimum field strength that we can reach is
B
min
=
B
(
I
FB
= 0) = (577
.
9
±
0
.
2)
G
, while the
maximum field strength is B
max
= B(I
FB
= 20) = (626.0 ± 0.2) G.
58
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