Simulation of a quantum phase transition of polaritons with trapped ions

Abstract

We present a novel 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 tunabilty of the hopping frequency by adjusting the axial trapping frequency, and the phonon-phonon repulsion via the 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.

4 pages, 3 figures

References in corpus (12)

• 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
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Scaling and Suppression of Anomalous Quantum Decoherence in Ion Traps
• Trapped ion quantum computation with transverse phonon modes
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Mesoscopic Spin-Boson Models of Trapped Ions
• Analogue of cosmological particle creation in an ion trap
• Quantum phase transitions in photonic cavities with two-level systems
• Quantum phases of interacting phonons in ion traps
• Analytic approximations to the phase diagram of the Jaynes-Cummings-Hubbard model with application to ion chains

Cited by in corpus (42)

• Quantum Simulation
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Using Quantum Computers for Quantum Simulation
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Experimental realization of a quantum phase transition of polaritonic excitations
• Scalable and Parallel Tweezer Gates for Quantum Computing with Long Ion Strings
• Quantum walks of a phonon in trapped ions
• Observation of Hopping and Blockade of Bosons in a Trapped Ion Spin Chain
• Excitations of strongly correlated polaritons
• Adiabatic quantum metrology with strongly correlated quantum optical systems
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Localization of phonons in ion traps with controlled quantum disorder
• Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
• Band Structure, Phase transitions and Semiconductor Analogs in One-Dimensional Solid Light Systems
• Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
• Critical Theory for the Breakdown of Photon Blockade
• Blockade of phonon hopping in trapped ions in the presence of multiple local phonons
• Ion-photon entanglement and quantum frequency conversion with trapped Ba${}^{+}$ ions
• Polariton Mott insulator with trapped ions or circuit QED
• Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
• Phonon-number-resolving Detection of Multiple Local Phonon Modes in Trapped Ions
• Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions
• From the Jaynes-Cummings-Hubbard to the Dicke model
• Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
• Fermionized photons in the ground state of one-dimensional coupled cavities
• Optimal electrode geometries for 2-dimensional ion arrays with bi-layer ion traps
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Many-Body Physics with Trapped Ions
• Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
• Quantum simulation of the dynamical Casimir effect with trapped ions
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics
• The Interspersed Spin Boson Lattice Model
• Coherent control of a local phonon in trapped ions using dynamical decoupling
• Collective Modes in the Cooperative Jahn-Teller Model: Path Integral Approach
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Quantum simulation of superexchange magnetism in linear ion crystals
• Dynamical dimerization phase in Jaynes-Cummings lattices
• Evaluating states in trapped ions with local correlation between internal and motional degrees of freedom
• Site-dependent control of polaritons in the Jaynes Cummings Hubbard model with trapped ions
• Enhanced Parameter Estimation with Periodically Driven Quantum Probe