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arXiv · 1907.10721

An SU(2) geometric phase induced by periodically driven Raman process in an ultracold dilute Bose gas

Zekai Chen·Joseph D. Murphree·Nicholas P. Bigelow
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Abstract

We propose a practical protocol to generate and observe a non-Abelian geometric phase using a periodically driven Raman process in the hyperfne ground state manifold of atoms in a dilute ultracold gas. Our analysis is based upon recent developments and application of Floquet theory to periodically driven quantum systems. The simulation results show the non-Abelian gauge transformation and the non-commuting property of the SU(2) transformation operators. Based on these results, we propose a possible experimental implementation with an ultracold dilute Bose gas.

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Zekai Chen, Joseph D. Murphree, Nicholas P. Bigelow. 2019-11-21. An SU(2) geometric phase induced by periodically driven Raman process in an ultracold dilute Bose gas. https://doi.org/10.1103/physreva.101.013606

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