a precise measurement of the stark shift in the 6p …a precise measurement of the stark shift in...
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A Precise Measurement of the Stark Shift inthe 6P1/2->7S1/2 378 nm Transition in
Thallium
Final Thesis Talk
May 13, 2002
S. Charles Doret
Previous work by Andrew Speck ’00, Paul Friedberg ’01,
D.S. Richardson, PhD
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[Fow70]
[DeM94]kS
tark
kH
z/(k
V/c
m)2
PresentMeasurement
Year
Summary of Stark Shift Measurements
kStark = 103.34(37) kHz/(kV/cm)2
∆ν = kStarkE2
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Why Bother?
- Low energy AMO physics can be used to set stringent limits onfundamental physical quantities
- Parity non-conservation measurements give both evidence for andtests of fundamental physics
- Of interest here: Qw , predicted by elementary particle theory
According to Atomic Physics:
EPNC = Qw * C(Z)
Group Element Experimental Precision
Atomic Theory Precision
Colorado '88 Cesium 2% 1% Oxford '91 Bismuth 2% 8%
UW '93 Lead 1.2% 8% Berkeley Ytterbium ongoing Isotopic ratios…UW '95 Thallium 1.2% 2.5% (new, 2001)
Colorado '97 Cesium 0.35% ~ 1% (or less)
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Where does kStark come into play?- C(Z) based on an infinite sum of E1 matrix elements*
So, if your wavefunction approximations can accuratelycalculate kStark, they should be adequate for an accuratedetermination of C(Z) as well!
* details available upon request
- kStark calculable from an infinite sum over allwavefunctions
rdrevv 3
2*
1 ΨΨ�
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How to measure?
2nd order Perturbation Theory:
∆ν = kStarkE2
Electric Field Plate
CollimatedAtomic Beam
Transverse LaserProbe
Interaction Region: ?E 0
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Optical System:
ρ = b/a
Cavity length
Frequency Stabilization:
Frequency Tuning:
1) Adjust 0 < ρ < 1 ~ 800 MHz range
-susceptible to mis-measurement of FSR, slow, manual
2) Acousto-Optic Modulator precisely shifts laser frequency at fixed ρ ~ 100 MHzrange
- synthesizer precision, instantaneous, computer control, steering problems
n λHeNe / 4 (n+1) λHeNe / 4m λdiode / 4
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Optical Table
Interaction Region
Doubling Cavity
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AOM λ/4
wavemeter
Locking system
external cavity diode laser
755 nm, ~12 mW
opticalisolator PBS
RF frequencysynthesizer
(90-120 MHz)
external resonantfrequency-doubling (‘bowtie’ cavity)
f0+νAOM
(νAOM)
f 0+2
ν AO
Mf0
2f0+4νAOMTo Lock-ins
PMT 2
PMT 1
collimatorschoppingwheel Tl oven
high-vacuum
ATOMIC BEAM
378 nm, ~0.5 µWchopping wheel
E-field plates
Atomic Beam and Optical System Layout
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Data Collection/Signal Processing
Chopping System:
- Laser Beam chopping rejects any noise with frequencycomponents other than the modulation frequency – 1400 Hz
- Atomic Beam chopping to correct for optical table drifts,beam density fluctuations, etc. – 1Hz
Division/Subtraction Schemes:
- Extra PMT for laser beam intensity normalization
- Interested in difference signal A-B
- Collect data in ABBA format to minimize the effects of lineardrifts
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- Sequentially lock the diode laser, calibrate “ρ”- Scan over single line of 205Tl. Fit data to Voigt transmission profile
ρ Frequency Scan:
Measurement Methods
kStark 2)/25(
63
cmkV
MHz=
= 101kHz/(kV/cm)2
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∆S
Ε2
+–0
(1) Lock laser to inflection point of transmission curve (dip), measure S = T/N (E = 0)
(3) Repeat sequence with altered Electric field values, but same ∆f.
(2) - Turn on Electric field (E = E0) - Shift AOM frequency by appropriate amount (∆f); - Determine S’ and ∆S = S’ - S
∆f fixed
(4) Find y-intercept of linear fit -- value of E2 which exactly matches ∆f
Transmission Change:
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Statistical Analysis
Final Statistical Error: 0.20 kHz/(kV/cm)2 (0.19%)
Std. Error
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Systematic Error Analysis
Doppler Shifts:
δf = f∗ v/c
= 4*1014(300 m/s / 3*108 m/s) * 10-3 rad
= 0.4 MHz (0.38%)
4*1014(300 m/s / 3*108 m/s) * 10-4 rad
40 kHz (0.04 %)
≤
≤
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Correlation Plots
- Concerns about linear fit used to extract kStark with TransmissionChange method
Simulation: Measured:
Symmetric data collection on both sides since opposite effect
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- Should be no relation between E and kStark, but wecheck anyhow . . .
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ρ Scan Errors
Fitting Errors:
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ConclusionsFinal Values:
ρ Scan: 103.23(57) kHz/(kV/cm)2
Transmission Change: 103.41(39) kHz/(kV/cm)2
Combined Value: 103.34(37) kHz/(kV/cm)2
-Modest amount of data required before submission for publication inJune
[Fow70]
[DeM94]kS
tark
kH
z/(k
V/c
m)2
PresentMeasurement
Year
Theory% Error
![Page 18: A Precise Measurement of the Stark Shift in the 6P …A Precise Measurement of the Stark Shift in the 6P 1/2->7S 1/2 378 nm Transition in Thallium Final Thesis Talk May 13, 2002 S](https://reader033.vdocuments.site/reader033/viewer/2022042009/5e71411551fee476055ebe97/html5/thumbnails/18.jpg)
FutureStark Induced Amplitude at 1283 nm: