Highly Excited Electron Cyclotron for QCD Axion and Dark-Photon Detection

Kavli Affiliate: Peter W. Graham

| First 5 Authors: Xing Fan, Gerald Gabrielse, Peter W. Graham, Harikrishnan Ramani, Samuel S. Y. Wong

| Summary:

We propose using highly excited cyclotron states of a trapped electron to
detect meV axion and dark photon dark matter, marking a significant improvement
over our previous proposal and demonstration [Phys. Rev. Lett. 129, 261801].
When the axion mass matches the cyclotron frequency $omega_c$, the cyclotron
state is resonantly excited, with a transition probability proportional to its
initial quantum number, $n_c$. The sensitivity is enhanced by taking $n_c sim
10^6 left( frac{0.1~text{meV}}{omega_c} right)^2$. By optimizing key
experimental parameters, we minimize the required averaging time for cyclotron
detection to $t_{text{ave}} sim 10^{-6} $ seconds, permitting detection of
such a highly excited state before its decay. An open-endcap trap design
enables the external photon signal to be directed into the trap, rendering our
background-free detector compatible with large focusing cavities, such as the
BREAD proposal, while capitalizing on their strong magnetic fields.
Furthermore, the axion conversion rate can be coherently enhanced by
incorporating layers of dielectrics with alternating refractive indices within
the cavity. Collectively, these optimizations enable us to probe the QCD axion
parameter space from 0.1 meV to 2.3 meV (25-560 GHz), covering a substantial
portion of the predicted post-inflationary QCD axion mass range. This
sensitivity corresponds to probing the kinetic mixing parameter of the dark
photon down to $epsilon approx 2 times 10^{-16}$.

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