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

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.

References in corpus (8)

• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Trapped ion quantum computation with transverse phonon modes
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
• Coherent control of a local phonon in trapped ions using dynamical decoupling
• Evaluating states in trapped ions with local correlation between internal and motional degrees of freedom