Weak-value magnetometry for precision tests of fundamental physics

TL;DR

This paper demonstrates that weak-value magnetometry using trapped ions can measure extremely small magnetic fields, enabling high-precision tests of fundamental physics principles like the equivalence principle.

Contribution

It introduces a method to detect ultra-weak magnetic fields with current technology, advancing precision measurement capabilities in fundamental physics tests.

Findings

Detection of magnetic fields at the scale of 10^{-19} T

Potential to test spin coupling effects on the equivalence principle

Implications for improving entangled optical clock performance

Abstract

Progress in testing fundamental physics relies on our ability to measure exceedingly small physical quantities. Using a $^{40}$Ca$^{+}$ trapped ion system as an example we show that an exceedingly weak synthetic magnetic field (at the scale of $10^{-19}$ T) can be measured with current technology. This improved sensitivity can be used to test the effects of spin coupling that affect the equivalence principle and, if present, may impact the performance of the proposed entangled optical clocks arrays.