Quantum Metrology of Spin Sensing with Free Space Electrons
- URL: http://arxiv.org/abs/2509.14982v1
- Date: Thu, 18 Sep 2025 14:12:56 GMT
- Title: Quantum Metrology of Spin Sensing with Free Space Electrons
- Authors: Santiago Beltrán-Romero, Michael Gaida, Philipp Haslinger, Dennis Rätzel, Stefan Nimmrichter,
- Abstract summary: Recent advances in transmission electron microscopy have opened the path toward spin resonance spectroscopy with single-spin sensitivity.<n>We study two metrological tasks: estimating the magnitude of the magnetic moment and discriminating the presence of a spin.<n>We find that conventional TEM imaging can saturate the quantum bound when backaction of the probe electron onto the spin state is negligible.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recent advances in transmission electron microscopy (TEM) have opened the path toward spin resonance spectroscopy with single-spin sensitivity. To assess this potential, we investigate the quantum precision limits for sensing magnetic moments with free-electron probes. Using a scattering model where an electron wavepacket interacts with a localized spin, we study two metrological tasks: estimating the magnitude of the magnetic moment and discriminating the presence of a spin. The sensitivity for a given measurement setting is generally determined by the classical Fisher information, which we benchmark against the quantum bound optimized over all measurements. We find that conventional TEM imaging can saturate the quantum bound when backaction of the probe electron onto the spin state is negligible. We also find that, when backaction is relevant, one could do better by realizing a measurement of the electron's orbital angular momentum state. These results establish the quantum limits of spin sensing in TEM and guide the development of future experiments probing individual electron spins or nanoscale ensembles of nuclear spins.
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