m. vogel for the spectrap collaboration precision spectroscopy on highly charged ions
Post on 19-Dec-2015
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![Page 1: M. Vogel for the SPECTRAP collaboration PRECISION SPECTROSCOPY ON HIGHLY CHARGED IONS](https://reader035.vdocuments.mx/reader035/viewer/2022081516/56649d375503460f94a0fa9d/html5/thumbnails/1.jpg)
M. Vogel
for the SPECTRAP collaboration
PRECISION SPECTROSCOPY ON HIGHLY CHARGED IONS
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DOUBLE-RESONANCE SPECTROSCOPY IN HCI
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Manuel Vogel
HCI level schemeHCI level scheme
F=5m =-4F
HFS
MW2F=4 m =-3F
m =-4F
m =-5F
......
MW1
h =g B MW F 0
typically 10 -10 Hz14 15
typically 10 -10 Hz9 10
H-like ion in external B-field: hyperfine levels are split into Zeeman sublevels
example: 209Bi82+ I=9/2
F=I+J, F=I-J J=1/2 (ground state)
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Manuel Vogel
relationsrelations
nuclear g-factor gI
electronic g-factor gJ
atomic (ionic) g-factor gF
using this relation: measure any 2 numbers independently and get the third one free
e.g.
gI from NMR (but: diamagnetic shielding)gJ from Stern-Gerlach-Experiments
gF from double-resonance experiments
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Manuel Vogel
known valuesknown values
+ a large number of gI from NMR
gJ
HFS
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Manuel Vogel
double-resonance techniquedouble-resonance technique
idea: perform a laser-microwave double-resonance experimentand use the light from the optical transition as a probe for the Zeeman transitions
gF
gF‘
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Manuel Vogel
case 1: only one gcase 1: only one gFF measured measured
we can use
to get either
or
I,F
I,F
small,well-known from theory
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Manuel Vogel
case 2: two gcase 2: two gFF measured measured
if gF is measured for two different F, then we can simulaneously and independently get
and
(this only works for I>1/2)
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Manuel Vogel
this meansthis means
...we can obtain electronic and nuclear magnetic moments (g-factors) simultaneously
with a relative accuracy of 10-7 or better (depending on the system)
...we are independent from diamagnetic shielding,i.e. shielding effects can for the first time be measured
and theory can be tested
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BLIND SPECTROSCOPY
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Manuel Vogel
optical spectroscopy by MW measurementoptical spectroscopy by MW measurement
idea: perform laser cooling on forbidden transition andprobe the effect by the corresponding motional frequency shift
in a magnetic bottle.
forbidden transition can be identified with a precision of better than 10-10
using only a single ionno optical detection
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Manuel Vogel
axial laser cooling – magnetic bottleaxial laser cooling – magnetic bottle
z
initial resistive cooling,pick up,
rf frequencymeasurement
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Manuel Vogel
frequency shiftfrequency shift
i.e. 10-6 to 10-5 shift
10-10 sensitivity
0 50 100 150 200 250 300 350 400 450 5001E-9
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
B2=4mT/mm2
B2=40mT/mm2
RE
LA
TIV
E A
XIA
L F
RE
QU
EN
CY
SH
IFT
TRAPPING VOLTAGE [V]
B2=400mT/mm2
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Manuel Vogel
sideband spectrumsideband spectrum
OPT OPT z+ OPT z+2 OPT z+3 OPT z- OPT z-2 OPT z-3
I[arb. units]
0.15
0.30
0.45
0.60
0.75
0.90
1.0
0.5
1.5
T[K]
2.5
6.5
15
"carrier"
red sidebandsblue sidebands
OPT OPT z+10 OPT z+20 OPT z+30 OPT z-10 OPT z-20 OPT z-30
I[arb. units]
0.02
0.04
0.06
0.08
0.10
0.12
10
0.5
15
T[K]
2.5
6.5
15
"carrier"
red sidebands
blue sidebands
Pb1+
Pb81+
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Manuel Vogel
cooling ratescooling rates
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Manuel Vogel
pro: estimated accuracy better than 10-10
needs only a single ionno optical detection system necessary
acceptable laser cooling times due to high detection sensitivity
can use existing/planned g-factor setup (replace MW by cooling laser)
Thank you for your attention
conclusionconclusion