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arXiv · 2001.10357

Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system

Vincent Lienhard·Pascal Scholl·Sebastian Weber·Daniel Barredo·Sylvain de Léséleuc·Rukmani Bai·Nicolai Lang·Michael Fleischhauer·Hans Peter Büchler·Thierry Lahaye·Antoine Browaeys
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Abstract

We experimentally realize a Peierls phase in the hopping amplitude of excitations carried by Rydberg atoms, and observe the resulting characteristic chiral motion in a minimal setup of three sites. Our demonstration relies on the intrinsic spin-orbit coupling of the dipolar exchange interaction combined with time-reversal symmetry breaking by a homogeneous external magnetic field. Remarkably, the phase of the hopping amplitude between two sites strongly depends on the occupancy of the third site, thus leading to a correlated hopping associated to a density-dependent Peierls phase. We experimentally observe this density-dependent hopping and show that the excitations behave as anyonic particles with a non-trivial phase under exchange. Finally, we confirm the dependence of the Peierls phase on the geometrical arrangement of the Rydberg atoms.

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Vincent Lienhard, Pascal Scholl, Sebastian Weber, Daniel Barredo, Sylvain de Léséleuc, Rukmani Bai, Nicolai Lang, Michael Fleischhauer, Hans Peter Büchler, Thierry Lahaye, Antoine Browaeys. 2020-01-28. Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system. https://doi.org/10.1103/physrevx.10.021031

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