Sensing electric and magnetic fields with Bose-Einstein Condensates
S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, I. Bar-Joseph,, P. Krueger, and J. Schmiedmayer

TL;DR
This paper demonstrates the use of Bose-Einstein condensates as highly sensitive sensors for electric and magnetic fields, achieving micron-scale spatial resolution and mapping capabilities with potential for further sensitivity improvements.
Contribution
It introduces a novel application of BECs as field sensors, including experimental demonstrations of magnetic field mapping and current-density reconstruction.
Findings
Achieved magnetic field sensitivity of ~10e-14eV at 3 micron resolution.
Successfully mapped 2D magnetic fields 10 micron above a wire.
Outlined potential improvements using Feshbach resonances.
Abstract
We discuss the application of Bose-Einstein condensates (BECs) as sensors for magnetic and electric fields. In an experimental demonstration we have brought one-dimensional BECs close to micro-fabricated wires on an atom chip and thereby reached a sensitivity to potential variations of ~10e-14eV at 3 micron spatial resolution. We demonstrate the versatility of this sensor by measuring a two-dimensional magnetic field map 10 micron above a 100-micron-wide wire. We show how the transverse current-density component inside the wire can be reconstructed from such maps. The field sensitivity in dependence on the spatial resolution is discussed and further improvements utilizing Feshbach resonances are outlined.
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