Cutting-Edge Dark Matter Search with MAGIS-100 Gradiometers
Cutting-edge dark matter search using the MAGIS-100 instrument with three atom sources is discussed in detail. The configurations, interferometer phases, and data analysis techniques are explored to maximize the efficiency of detecting dark matter signals. The study also delves into exploiting correlations between gradiometers, signal and background correlations, and a null case scenario for comparison.
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MAGIS-100: Dark Matter Search with 3 Atom Sources
MAIGIS-100 Configurations GGN Study Configuration short T subject of present study Standard DM-Search Configuration maximizes T 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 2
MAIGIS-100: 3-Stom-Source Configuration Interferometer 1 Phase ?1 I1 Gradiometer 12 measurement 12= ?1 ?2 ~50 m Gradiometer 13 measurement 13= ?1 ?3 Interferometer 2 Phase ?2 I2 Gradiometer 23 measurement 23= ?2 ?3 ~50 m Interferometer 3 Phase ?3 I3 Data taking campaign consists of a sequence of gradiometer measurements. e.g. 106 measurements with a cadence of 0.1 secs over a period od 105 secs. 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 3
Exploiting 3 Atom Sources [ config. (c) ] With a 3rd atom source we can exploit correlations between Gradiometers 12 and 23 In particular, we can look at the consistency of both the moduli and the arguments of the FFT responses 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 4
Gradiometers 12 + 23: Signal Correlations A DM signal in the FFT spectra would yield consistent measurements in both gradiometers (12 & 23) of the signal modulus and argument. FFT Results for 2000 simulated data campaigns for m = 10-15 eV & coupling = 0.01 Modulus Arg Gradiometer 23 Gradiometer 23 Gradiometer 12 Gradiometer 12 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 5
Gradiometers 12 + 23: Background Correlations To study the characteristics of a false signal generated by a statistical fluctuation, chose an arbitrary frequency bin in the FFT spectra and examine the Real & Imaginary components of the signal for 2000 simulated data campaigns: Gradiometer 12 Gradiometer 23 Im Amplitude 12 Im Amplitude 23 Re Amplitude 12 Re Amplitude 23 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 6
Gradiometers 12 + 23: NULL CASE (no DM) Since both gradiometers share Interferometer 2, the Gradiometer 12 & 23 Arguments are correlated: The fluctuations favor the +- and -+ quadrants of the Argand Plot 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 7
Gradiometers 12 + 23: NULL CASE (no DM) For each simulated null-case data campaign chose the frequency bin yielding the largest FFT modulus for Gradiometer 12 (10000 simulated campaigns): Gradiometer 12 Gradiometer 23 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 8
Gradiometers 12 + 23: NULL CASE (no DM) For each simulated null-case data campaign chose the frequency bin yielding the largest FFT modulus for Gradiometer 12: Large fluctuations (large12 modulus) favor maximally inconsistent Gradiometer 12 and 23 Arguments. Fraction of null cases with |Arg(12) Arg(23)| > 1 radian = 4 x 10-4 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 9
Remarks Correlations between 3 atom sources can be exploited to distinguish signal (DM, GGN, ... ) from random fluctuations T = 1 sec 33m May not be relevant for MAGIS-100 since the 3-stom configuration permits only short interrogation times. However, may be of interest for a MAGIS-100 upgrade and/or a km-scale experiment. 33m Measuring the 3-atom-source background correlations is to see if they survive in the real world is something that should be on the MAGIS-100 wish- list. 33m 4/13/22 MAGIS Science + Simulation Meeting Steve Geer 10
