Site-dependent control of polaritons in the Jaynes Cummings Hubbard model with trapped ions

TL;DR

This paper demonstrates how to control polaritons in the Jaynes Cummings Hubbard model with trapped ions by using site-dependent optical beam parameters, enabling detailed manipulation of many-body quantum systems.

Contribution

It introduces a method for site-dependent control of polaritons in a trapped ion system, allowing for precise manipulation of their hopping and interactions.

Findings

Polaritons can hop freely in a homogeneous setup.

Hopping can be blocked by controlling optical beam frequencies.

Technique enables local control of large ion-based many-body systems.

Abstract

We demonstrate the site-dependent control of polaritons in the Jaynes Cummings Hubbard (JCH) model with trapped ions. In a linear ion crystal under illumination by optical beams nearly resonant to the red-sideband (RSB) transition for the radial vibrational direction, quasiparticles called polaritonic excitations or polaritons, each being a superposition of one internal excitation and one vibrational quantum (phonon), can exist as conserved particles. Polaritons can freely hop between ion sites in a homogeneous configuration, while their motion can be externally controlled by modifying the parameters for the optical beams site-dependently. We demonstrate the blockade of polariton hopping in a system of two ions by the individual control of the frequency of the optical beams illuminating each ion. A JCH system consisting of polaritons in a large number of ion sites can be considered an artificial many-body system of interacting particles and the technique introduced here can be used to exert fine local control over such a system, enabling detailed studies of both its quasi-static and dynamic properties.