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Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)

Quantum simulation of the Jaynes-Cummings-Hubbard model using trapped ions

Kenji Toyoda, Yuta Matsuno, Atsushi Noguchi, Shinsuke Haze, S. Urabe

Published Jun 1, 2013• 1 citation
Publisher

Abstract

We report an experiment on quantum simulation of the Jaynes-Cummings-Hubbard (JCH) model using two trapped ions. A dynamics derived from a JCH Hamiltonian is experimentally realized, and an adiabatic transfer from a localized (insulator) ground state to a delocalized (superfluid) ground state are observed.
DOI
10.1109/cleopr.2013.6600226

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Abstract We have experimentally observed the dynamics of a single polariton and two polaritons in a two-ion chain. By driving two trapped ions at a motional blue-sideband (BSB) transition, we realize the anti-Jaynes–Cummings–Hubbard (JCH) model. When a single polariton exists in a trapped-ion chain, the polariton hops between the ion sites. On the other hand, when there are single polaritons at each ion site, the hopping of the polaritons is suppressed because of the polariton–polariton interaction induced by the nonlinearity of the anti-Jaynes–Cummings (JC) interaction, thereby realizing the blockade of polariton hopping in the anti-JCH model with trapped ions. Our work is a step towards the development of a trapped-ion based quantum simulator for strongly interacting polaritonic systems.
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