Nonlinear Faraday Rotation and Superposition-State Detection in Cold Atoms
Adam Wojciechowski, Eric Corsini, Jerzy Zachorowski, and Wojciech, Gawlik

TL;DR
This paper reports the first observation of nonlinear Faraday rotation in cold atoms at ~100 μK, demonstrating a method for creating and detecting atomic superposition states with potential for high-resolution magnetometry.
Contribution
It introduces the first observation of nonlinear Faraday rotation in cold atoms and demonstrates a new technique for superposition-state detection and control.
Findings
Nonlinear Faraday rotation up to 0.1 rad observed
Rotation results from long-lived ground-state coherence
Potential for high-resolution precision magnetometry
Abstract
We report on the first observation of nonlinear Faraday rotation with cold atoms at a temperature of ~100 uK. The observed nonlinear rotation of the light polarization plane is up to 0.1 rad over the 1 mm size atomic cloud in approximately 10 mG magnetic field. The nonlinearity of rotation results from long-lived coherence of ground-state Zeeman sublevels created by a near-resonant light. The method allows for creation, detection and control of atomic superposition states. It also allows applications for precision magnetometry with high spatial and temporal resolution.
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