Measuring axion gradients with photon interferometry (MAGPI)

TL;DR

This paper introduces a new photon interferometry method to detect axion-induced field gradients, potentially surpassing current constraints for certain axion mass ranges by using optical or RF cavities and Earth as a source.

Contribution

The paper proposes a novel interferometric technique utilizing cavity-based phase shifts to detect axion gradients, extending sensitivity beyond existing limits for low-mass axions.

Findings

Projected sensitivity surpasses current constraints for axion couplings.

Method can detect axion masses up to 10^{-5} eV.

Potential to explore new parameter space with high-finesse cavities.

Abstract

We propose a novel search technique for axions with a $CP$-violating monopole coupling $\tilde{g}_Q$ to bulk Standard Model charges $Q \in \{B,L,B-L\}$. Gradients in the static axion field configurations sourced by matter induce achromatic circular photon birefringence via the axion-photon coupling $g_{\phi\gamma}$. Circularly polarized light fed into an optical or (open) radio-frequency (RF) Fabry-P\'erot (FP) cavity develops a phase shift that accumulates up to the cavity finesse: the fixed axion spatial gradient prevents a cancellation known to occur for an axion dark-matter search. The relative phase shift between two FP cavities fed with opposite circular polarizations can be detected interferometrically. This time-independent signal can be modulated up to non-zero frequency by altering the cavity orientations with respect to the field gradient. Multi-wavelength co-metrology techniques can be used to address chromatic measurement systematics and noise sources. With Earth as the axion source, we project reach beyond current constraints on the product of couplings $\tilde{g}_Q g_{\phi\gamma}$ for axion masses $m_{\phi} \lesssim 10^{-5} \mathrm{eV}$. If shot-noise-limited sensitivity can be achieved, an experiment using high-finesse RF FP cavities could reach a factor of $\sim 10^{5}$ into new parameter space for $\tilde{g}_Q g_{\phi\gamma}$ for masses $m_\phi \lesssim 4\times 10^{-11} \mathrm{eV}$.