Can dT CMB /dt be Measured?
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Can dTCMB/dt be Measured?
R. V. DuncanUniversity of New Mexico, and Caltech
Quarks to Cosmos WorkshopAirlie Center, May 23, 2006Work sponsored by NASA, and by and equipment loan from Sandia National Labs
Acknowledge helpful discussions with Prof. George Seidel (Brown) and Prof. Philip Lubin (UCSB)
Why?Fundamental test of cosmological theoriesHubbles Law: v = H DH is very uncertain, 45 90 km/s per MpcT-1 dT/dt ~ D-1 dD/dt = v / D = H, hence a direct measurement of Hubbles Constant. Vastly improved long-baseline stability for all space radiometry applicationsQuasar / Black Hole / etc. radiation variation Anisotropy stability studiesAnticipate dTCMB/dt ~ 200 pK/year
An Exceptionally Hard Experiment
Photon Collection from a faint 2.7 K source:To resolve DT/T ~ 10-11 requires Averaging time ~ one month
Foreground Sources:Hubble Ultra - Deep Field:SW of Orion in Constellation Fornax,chosen for sparce foreground sources.
0.05 arc degrees
Metrology: BB stable to within 100 pK over decades!
New Ultra-Stable PlatformC. J. Green, D. A. Sergatskov, and R. V. Duncan, J. Low Temp. Phys. 138, 871 (2005).12
1. Paramagnetic Susceptibility Thermometry
Magnetic flux is trapped in aniobium tube
A paramagnetic substance with T > Tc is thermally anchored to the platform M = H c(T)
c(T) = G [(T Tc)/Tc]-g so small changes in T create large changes in M
Gifford, Web, Wheatley (1971)Lipa and Chui (1981)
PdMn: Klemme et al., JLTP 116, 133 (1999) Nelson, Sergatskov, & Duncan, JLTP 127 173 (2002)
HPd Mn
PdMn0.9% Thin Film Magnetic Susceptibility ThermometrySee R.C. Nelson et al., JLTP (2002) For thermometry, See Duncan et al., 2nd Pan Pacific Basin Workshop, 2001.Thin film sensitivity vs. T and HNo hysteresis was observed
Chart2
1.36792044.579559610.951859613.3988228
1.7654045.825833212.96178215.2196408
2.3958257.53410514.8235316.88292
3.3574719.87029116.94456118.460476
4.70566412.87539219.6172820.337408
7.21060116.62712221.57665521.769673
11.02674321.14612523.8374523.468354
3.373.373.373.37
17.09811225.92294425.61269624.47512
24.87317730.34877127.35855326.01878
31.31803232.46166828.78883726.699502
334.04974529.5147927.0594
34.3180134.6051929.83800227.684152
2.82.82.827.99485
33.3950434.7533730.0157827.13347
31.59536434.78953629.59419627.51606
29.81052233.68318829.09002627.198724
28.09254532.34094528.94222526.97734
26.26956831.00566828.29030426.080124
24.407629.486227.28824.7866
2.32.32.325.9236
22.33461628.21698426.773965625.000064
2.22.22.224.81624
20.971526.38352.124.354
2.12.12.124.1285
19.3586423.9878825.5309623.8476
2225.25042
1.921.9224.80541.92
18.2629323.404921.91.9
1.871.871.871.87
16.60990963581.831.831.83
1.822.607641.81.8
1.71822.19966737191.7181.718
1.711.711.711.71
6 G
35 G
150 G
250 G
Temp (K)
Sensitivity (flux quanta/mK)
Sensitivity
Decreasing Tshiftfield
Temp (K)12.5 G6 G35 G35 Gauss6 Gauss6 Gauss70 Gauss150 Gauss250 Gauss250 Gauss3.90%6 gauss
0.403542.23455321.30844564.57955961.3594241.36792047.2219410.951859613.398822813.39882285.80%35 Gauss
0.36843.92.9733121.74682085.82583321.80257041.7654048.947810812.96178215.219640815.21964084.60%250 Gauss
0.33333.83.9454652.365247.5341057.4525452.44682.39582511.08196514.8235316.8829216.88292
0.29823.75.4236073.2002659.8702919.7916883.3462423.35747113.82289916.94456118.46047618.460476
0.26323.67.6606724.65612.87539212.8008964.70566417.04716819.6172820.33740820.337408
0.22813.511.0433876.96243516.62712216.7236317.2795367.21060120.47369521.57665521.76967321.769673
0.19303.410.65764721.14612521.51522111.10363811.02674323.82207123.8374523.46835423.468354
0.18253.3717.606654
0.15793.322.1482616.85680825.92294426.1125417.35665217.09811226.93986825.61269624.4751224.47512
0.12283.227.5721424.34891830.34877129.63034224.62075624.87317729.49442327.35855326.0187826.01878
0.08773.130.21838230.83418632.46166832.39568931.34002531.31803231.42799728.78883726.69950226.699502
0.0526333.2229333.59875534.04974534.14996534.50073532.89721529.5147927.059427.0594
0.01752.935.70152634.26057434.6051934.72006234.69134434.3180133.25544429.83800227.68415227.684152
2.827.9948527.99485
-0.01752.836.595928310930.0157834.7533735.0846733.1962633.3950433.2956530.0157827.1334727.13347
-0.05262.735.027826433830.90265234.78953634.71256831.59536431.59536433.13472429.59419627.5160627.51606
-0.08772.634.046500360929.58536733.68318833.05275430.21580129.81052232.06207229.09002627.19872427.198724
-0.12282.531.567946690827.45528532.34094532.34094527.66770528.09254531.2257428.94222526.9773426.97734
-0.15792.430.572545253825.76438431.00566831.06881626.14327226.26956830.37418828.29030426.08012426.080124
-0.19302.328.754596784323.649629.486229.410423.87724.407629.334627.28824.786624.7866
2.325.923625.9236
-0.22812.226.794275198521.5993228.21698427.75742422.33461622.33461628.4927226.773965625.00006425.000064
2.224.8162424.81624
-0.26322.124.66485235219.618526.383526.383520.1822520.971526.834525.3687524.35424.354
2.124.128524.1285
-0.2982222.987244470818.5169623.9878825.3906819.3586419.3586426.653225.5309623.847623.8476
225.2504
-0.32631.9224.8054
-0.33331.921.182964890616.8444523.4049223.7595417.73118.2629325.6940921054
-0.34391.8720.71486263615.52848
-0.35791.8316.609909635816.6099096358
-0.36841.822.6076422.60764
-0.39721.71822.199667371922.1996673719
-0.40001.7113.54905
26.0711
25.36875
0.0276856369
25.463
24.7866
0.0272889384
Sensitivity
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
6 G
12.5 G
35 G
70 G
150 G
250 G
Temp (K)
Sensitivity (flux quanta/mK)
16219-4.0K
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
H = 35 gauss
Decreasing T
Increasing T
Temp (K)
Sensitivity (flux quanta/mK)
Sensitivity of PdMn film
15219-3.9K
0
0
0
0
0
0
0
0
0
0
Reduced Temperature
Sensitivity (flux quanta/mK)
13219-3.8K
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Reduced Temperature
Sensitivity (flux quanta/mK)
Sensitivity of PdMn film
12219-3.7K
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
35 G
70 G
150 G
250 G
Temp (K)
Sensitivity (flux quanta/mK)
Sensitivity of PdMn film
11219-3.6K
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
Decreasing T
Temp (K)
Sensitivity (flux quanta/mK)
150 gauss
10219-3.5K
00
00
00
00
00
00
00
00
00
00
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
First pass
Second pass
Temp (K)
Sensitivity (flux quanta/mK)
250 Gauss
09219-3.4K
0-3.102531565.2-3.10253
2-3.085221565.3-3.08522
3-3.063331565.5-3.06333
4-3.046581565.7-3.04658
5-3.022481565.9-3.02248
8-2.965991566.3-2.96599
9-2.932381566.5-2.93238
10-2.903721566.7-2.90372
12-2.870671567-2.87067
13-2.830651567.3-2.83065
14-2.799071567.5-2.79907
15-2.759011567.8-2.75901
17-2.717121568.1-2.71712
18-2.679811568.3-2.67981
19-2.635731568.6-2.63573
20-2.591331569-2.59133Delta V-1570.2
22-2.548551569.3-2.54855zxzlzuAarccosxcos (I*arccos(x)
23-2.501361569.6-2.5013615653.1945143419-0.24040317682.25153911384.73437000324.5799781.813577514414.57997814.579978
24-2.45291569.9-2.452915753.1972805581-0.2381749008-4.6659241.8112825659-0.24040317681.1217029522-0.23817490081.1113059857
25-2.409691570.2-2.409691.618798-0.8844126252-1.4316853888-0.8865454333-1.4351379743
27-2.355531570.5-2.35553-0.3571330.6656343861-0.23772000520.660480642-0.2358794331
28-2.30711570.9-2.30710.0109220.56437138320.00616406420.57192561050.0062465715
29-2.258751571.2-2.258750.020675-0.9369877329-0.0193722214-0.9329172931-0.019288065
31-2.211671571.5-2.2116713.3988228-0.0082940.9917331752-0.0082254350.9936664896-0.0082414699
32-2.1613515