Abstract
We show that thermal fermionic alkaline-earth-metal atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the symmetry that permutes atoms occupying different vibrational levels of the trap and the symmetry associated with nuclear spin states. The symmetries make the model exactly solvable, which, in turn, enables the analytic study of dynamical processes such as spin diffusion in this ) system. We also show how to use this system to generate entangled states that allow for Heisenberg-limited metrology. This highly symmetric spin model should be experimentally realizable even when the vibrational levels are occupied according to a high-temperature thermal or an arbitrary nonthermal distribution.
- Received 7 September 2014
- Revised 15 October 2015
DOI:https://doi.org/10.1103/PhysRevA.93.051601
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