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John Hartnett Mike Tobar Rhys Povey Joerg Jaeckel

Search for hidden sector photons in a microwave cavity experiment

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<strong>John</strong> <strong>Hartnett</strong>, <strong>Mike</strong> <strong>Tobar</strong>, <strong>Rhys</strong><br />

<strong>Povey</strong>, <strong>Joerg</strong> <strong>Jaeckel</strong><br />

DURHAM UNIVERSITY<br />

The 5th Patras Workshop on Axions, WIMPs and WISPs


Frequency Standards and Metrology<br />

Precision Microwave Oscillators and Interferometers: From Testing<br />

Fundamental Physics to Commercial and Space Applications<br />

Michael E. <strong>Tobar</strong><br />

ARC Australian Laureate Fellow<br />

School of Physics<br />

University of Western Australia, Perth<br />

Frequency Standards and Metrology Research Group


High-Precision Oscillators,<br />

Clocks and Interferometers<br />

Generating and measuring frequency, time<br />

and phase at the highest precision<br />

Applied<br />

Technolgy<br />

Telecommunications<br />

Radar<br />

Navigation<br />

Surveying<br />

Space<br />

Physics Experiments<br />

Test of General Relativity<br />

Search for drift in Fine<br />

Structure Constant<br />

Search for the Axion<br />

Detect quantum fluctuations<br />

in macroscopic objects<br />

Detect GW’s


Research<br />

Testing fundamental physics<br />

1. Lorentz Invariance<br />

2. Rotating cryogenic oscillator experiment<br />

3. Odd parity magnetic MZ Interferometer experiment<br />

4. Generation and detection of the Paraphoton<br />

Commercial Applications<br />

1. Microwave Interferometer as a noise detector<br />

2. Sapphire Oscillators (room temperature and cryogenic)<br />

Atomic Clock Ensemble in Space (ACES) Mission<br />

1. Australian User Group<br />

2. Long term operation of high precision clocks<br />

Astronomy<br />

1. Cryogenic Sapphire Oscillators better than H-masers<br />

2. With MIT, image black hole at the centre of the Galaxy<br />

3. Within Australia -> SKA and VLBI timing


• Whispering Gallery modes WGE(H) mnp<br />

• Vertically stacked<br />

• TM 0np (n = 0,1; p = 0,1,2,3)<br />

• Vertically stacked<br />

• TE 0np (n = 0,1; p = 0,1,2,3)<br />

• Vertically stacked


WGE 16,0,0


HEMEX Whispering<br />

Gallery Mode<br />

Sapphire resonator<br />

WGH 16,0,0<br />

at 11.200 GHz


Cavity mounted inside inner can


Stability


80<br />

8<br />

secondary<br />

coupling<br />

probe<br />

sapphire<br />

51.00<br />

30 50<br />

11.83<br />

19<br />

silver plated<br />

copper<br />

cavity<br />

copper<br />

clamp<br />

copper nut<br />

primary<br />

coupling<br />

probe<br />

10


TE mode: E θ field


TE 011<br />

TM 010


Cavity resonance<br />

frequency<br />

Paraphoton wavenumber


Resonance Q-factor<br />

coupling<br />

Paraphoton<br />

mass<br />

|G|~ 1


Probability of Detection<br />

Assuming<br />

P em = 1 W, P det = 10 -24 W, Q ~ 10 9 ,<br />

χ ~ 3.2 × 10 -11


For 6 pairs of<br />

Niobium cylinders<br />

(stacked axially) with<br />

2 GHz < ω 0 /2π < 20<br />

GHz and ω 0 ≥ k ≥ 0<br />

Microwave<br />

cavities<br />

Q~10 11 , ….6 orders of magnitude better than Coulomb<br />

experiment


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k 0<br />

=ω 0<br />

/c (resonance) k γ<br />

= paraphoton k γ2<br />

=ω 2 – m<br />

2<br />

γ


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• Q =Rs/G<br />

G=Geometric factor & Rs = surface resistance<br />

3500<br />

3000<br />

2500<br />

G [Ohms]<br />

2000<br />

1500<br />

10 GHz<br />

mode<br />

1000<br />

T ≤ 4 K Niobium Q~ 10 9<br />

500<br />

0.5 1 1.5 2 2.5 3 3.5<br />

Freq [Hz]<br />

x 10 10


• In sapphire very high Q ~ 10 9 without Niobium<br />

• ? G for high m seems small, need to confirm, as<br />

numeric integral needs to be checked


• Assuming<br />

• detection bandwidth Δf = 1 Hz<br />

• receiver temperature T = 1 K (very good amp)<br />

thermal noise power kTΔf = -199 dBm<br />

Power@ 1paraphoton per second S/N = 1<br />

freq hf/s dBm Seconds<br />

10 GHz 6.63E-24 -202 2<br />

1 GHz 6.63E-25 -212 21


• Isolation will be the biggest problem<br />

• Microwave leakage<br />

• Unity coupling probes to cavities<br />

• No reflected power<br />

• Tuning High Q resonances exactly to the same<br />

frequency

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