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arXiv · 2504.11267

Optimal control of geometric phase in pairs of interacting atoms traveling along two-dimensional closed paths

Omar Morandi
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Abstract

Universal quantum gates whose operation depends on the manipulation of the geometric phase of atomic systems are promising candidates for implementation of quantum computing. We propose a scheme inducing a non-trivial Aharonov-Anandan geometric phase in pairs of atoms interacting via dipole-dipole potential. Our protocol relies on mobile optical trap technology and consists of steering a single atom along a closed loop. The trajectory of the atom is controlled by a mobile optical trap, and the shape of the path is designed by applying an optimal control procedure. The geometric phase is generated as a residual of the two-atom entanglement induced by the dipole-dipole interaction. The stability of our scheme in the presence of noise or experimental imperfections is discussed.

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Omar Morandi. 2025-04-15. Optimal control of geometric phase in pairs of interacting atoms traveling along two-dimensional closed paths. https://arxiv.org/abs/2504.11267

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