© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:2211.09400 · Applied Physics B

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

Silpa Muralidharan, Kenji Toyoda

Published Jun 20, 2023• 0 citations

Abstract

Abstract We demonstrate the site-dependent control of polaritons in the Jaynes–Cummings–Hubbard (JCH) model with trapped ions. In a linear ioncrystal under illumination by optical beams nearly resonant to the red-sideband (RSB) transition for the radial vibrational direction, quasi-particles 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 motioncan be externally controlled by modifying the parameters for the optical beams site-dependently. We demonstrate the blockade of polariton hop-ping in a system of two ions by the individual control of the frequency of the optical beams illuminating each ion. A JCH system consisting ofpolaritons in a large number of ion sites can be considered an artificialmany-body system of interacting particles, and the technique intro-duced here can be used to exert fine local control over such a system,enabling detailed studies of both its quasi-static and dynamic properties.

DOI: 10.1007/s00340-023-08053-4

Related papers

Polariton blockade in the Jaynes–Cummings–Hubbard model with trapped ions

Ryutaro Ohira, Shota Kume, Hiroki Takahashi +1 more

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.

arXiv:2103.05253•Quantum Science and Technology•Mar 26, 2021•7 citations

Simulation of a quantum phase transition of polaritons with trapped ions

Peter A. Ivanov, Svetoslav S. Ivanov, Nikolay V. Vitanov +3 more

We present a system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum, which induces an effective phonon-phonon repulsion and a Jaynes-Cummings-Hubbard interaction. This system shows features equivalent to phase transitions of polaritons in coupled cavity arrays. Trapped ions allow for easy tuning of the hopping frequency by adjusting the axial trapping frequency and the phonon-phonon repulsion via laser detuning and intensity. We propose an experimental protocol to access all observables of the system, which allows one to obtain signatures of the quantum phase transitions even with a small number of ions.

arXiv:0905.2593•Physical Review A•Dec 3, 2009•66 citations

Observation of Hopping and Blockade of Bosons in a Trapped Ion Spin Chain

Shantanu Debnath, Norbert M. Linke, Sheng-Tao Wang +4 more

The local phonon modes in a Coulomb crystal of trapped ions can represent a Hubbard system of coupled bosons. We selectively prepare single excitations at each site and observe free hopping of a boson between sites, mediated by the long-range Coulomb interaction between ions. We then implement phonon blockades on targeted sites by driving a Jaynes-Cummings interaction on individually addressed ions to couple their internal spin to the local phonon mode. The resulting dressed states have energy splittings that can be tuned to suppress phonon hopping into the site. This new experimental approach opens up the possibility of realizing large-scale Hubbard systems from the bottom up with tunable interactions at the single-site level.

arXiv:1711.00216•Physical Review Letters•Feb 12, 2018•52 citations

Polariton Mott insulator with trapped ions or circuit QED

Martin Hohenadler, Markus Aichhorn, Lode Pollet +1 more

We consider variants of the Jaynes-Cummings-Hubbard model of lattice polaritons, taking into account next-nearest-neighbor, diagonal, and long-range photon hopping in one and two dimensions. These models are relevant for potential experimental realizations of polariton Mott insulators based on trapped ions or microwave stripline resonators. We obtain the Mott-superfluid phase boundary and calculate excitation spectra in the Mott phase using numerical and analytical methods. Including the additional hopping terms leads to a larger Mott phase in the case of trapped ions, and to a smaller Mott phase in the case of stripline resonators, compared to the original model with nearest-neighbor hopping only. The critical hopping for the transition changes by up to about 50 percent in one dimension and by up to about 20 percent in two dimensions. In contrast, the excitation spectra remain largely unaffected.

arXiv:1108.5035•Physical Review A•Jan 9, 2012•20 citations

Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model Using a Trapped-Ion Quantum Simulator

B.-W. Li, Q.-X. Mei, Yukai Wu +5 more

The Jaynes-Cummings-Hubbard (JCH) model is a fundamental many-body model for light-matter interaction. As a leading platform for quantum simulation, the trapped ion system has realized the JCH model for two to three ions. Here, we report the quantum simulation of the JCH model using up to 32 ions. We verify the simulation results even for large ion numbers by engineering low excitations and thus low effective dimensions; then we extend to 32 excitations for an effective dimension of 2^{77}, which is difficult for classical computers. By regarding the phonon modes as baths, we explore Markovian or non-Markovian spin dynamics in different parameter regimes of the JCH model, similar to quantum emitters in a structured photonic environment. We further examine the dependence of the non-Markovian dynamics on the effective Hilbert space dimension. Our Letter demonstrates the trapped ion system as a powerful quantum simulator for many-body physics and open quantum systems.

arXiv:2205.15529•Physical Review Letters•Sep 28, 2022•30 citations

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

Kenji Toyoda, Yuta Matsuno, Atsushi Noguchi +2 more

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.

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)•Jun 1, 2013•1 citation

Abstract We demonstrate the site-dependent control of polaritons in the Jaynes–Cummings–Hubbard (JCH) model with trapped ions. In a linear ioncrystal under illumination by optical beams nearly resonant to the red-sideband (RSB) transition for the radial vibrational direction, quasi-particles 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 motioncan be externally controlled by modifying the parameters for the optical beams site-dependently. We demonstrate the blockade of polariton hop-ping in a system of two ions by the individual control of the frequency of the optical beams illuminating each ion. A JCH system consisting ofpolaritons in a large number of ion sites can be considered an artificialmany-body system of interacting particles, and the technique intro-duced here can be used to exert fine local control over such a system,enabling detailed studies of both its quasi-static and dynamic properties.

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.

We present a system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum, which induces an effective phonon-phonon repulsion and a Jaynes-Cummings-Hubbard interaction. This system shows features equivalent to phase transitions of polaritons in coupled cavity arrays. Trapped ions allow for easy tuning of the hopping frequency by adjusting the axial trapping frequency and the phonon-phonon repulsion via laser detuning and intensity. We propose an experimental protocol to access all observables of the system, which allows one to obtain signatures of the quantum phase transitions even with a small number of ions.

The local phonon modes in a Coulomb crystal of trapped ions can represent a Hubbard system of coupled bosons. We selectively prepare single excitations at each site and observe free hopping of a boson between sites, mediated by the long-range Coulomb interaction between ions. We then implement phonon blockades on targeted sites by driving a Jaynes-Cummings interaction on individually addressed ions to couple their internal spin to the local phonon mode. The resulting dressed states have energy splittings that can be tuned to suppress phonon hopping into the site. This new experimental approach opens up the possibility of realizing large-scale Hubbard systems from the bottom up with tunable interactions at the single-site level.

We consider variants of the Jaynes-Cummings-Hubbard model of lattice polaritons, taking into account next-nearest-neighbor, diagonal, and long-range photon hopping in one and two dimensions. These models are relevant for potential experimental realizations of polariton Mott insulators based on trapped ions or microwave stripline resonators. We obtain the Mott-superfluid phase boundary and calculate excitation spectra in the Mott phase using numerical and analytical methods. Including the additional hopping terms leads to a larger Mott phase in the case of trapped ions, and to a smaller Mott phase in the case of stripline resonators, compared to the original model with nearest-neighbor hopping only. The critical hopping for the transition changes by up to about 50 percent in one dimension and by up to about 20 percent in two dimensions. In contrast, the excitation spectra remain largely unaffected.

The Jaynes-Cummings-Hubbard (JCH) model is a fundamental many-body model for light-matter interaction. As a leading platform for quantum simulation, the trapped ion system has realized the JCH model for two to three ions. Here, we report the quantum simulation of the JCH model using up to 32 ions. We verify the simulation results even for large ion numbers by engineering low excitations and thus low effective dimensions; then we extend to 32 excitations for an effective dimension of 2^{77}, which is difficult for classical computers. By regarding the phonon modes as baths, we explore Markovian or non-Markovian spin dynamics in different parameter regimes of the JCH model, similar to quantum emitters in a structured photonic environment. We further examine the dependence of the non-Markovian dynamics on the effective Hilbert space dimension. Our Letter demonstrates the trapped ion system as a powerful quantum simulator for many-body physics and open quantum systems.