Trapped ion-mediated interactions between two distant trapped atoms
- URL: http://arxiv.org/abs/2310.05101v1
- Date: Sun, 8 Oct 2023 10:06:20 GMT
- Title: Trapped ion-mediated interactions between two distant trapped atoms
- Authors: Subhra Mudli, Subhanka Mal, Anushree Dey, and Bimalendu Deb
- Abstract summary: We show that when two largely separated atoms interact with a trapped ion via Rydberg excitation of the atoms, the ion-mediated interaction exceeds the direct atom-atom interaction by several orders of magnitude.
Since the motion of the atoms is much slower than the motion of the ion, we resort to Born-Oppenheimer approximation to calculate the ion-mediated adiabatic potential.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: We theoretically show that when two largely separated trapped atoms interact
with a trapped ion via Rydberg excitation of the atoms, the ion-mediated
interaction between the atoms exceeds the direct atom-atom interaction by
several orders of magnitude. Since the motion of the atoms is much slower than
the motion of the ion, we resort to Born-Oppenheimer approximation to calculate
the ion-mediated adiabatic potential. We also calculate the ion-mediated phonon
modes of the atoms that are separated by more than 10 micron. For cylindrical
geometry of the system and both the atoms being excited to the same Rydberg
state, the stretched and center-of-mass (COM) axial or transverse phonon modes
are found to be almost degenerate, while the phonon modes are non-degenerate
when one atom is in a Rydberg state and the other in the ground state. We
discuss the non-adiabatic effects in the system that give rise to a Gauge
structure and associated geometric phase in the system. This study may open a
new perspective in quantum computing and exploring molecular physics associated
with a conical intersection using an ion-atom hybrid architecture.
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