Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions

Abstract

We study theoretically the collective E$\otimes$e Jahn-Teller-Dicke distortion in a system of trapped ions. We focus in the limit of infinite range interactions in which an ensemble of effective spins interacts with two collective vibrational modes with U(1) symmetric couplings. Our model is exactly solvable in the thermodynamical limit and it is amenable to be solved by exact numerical diagonalization for a moderate number of ions. We show that trapped ions are ideally suited to study the emergence of spontaneous symmetry breaking of a continuous symmetry and magnetic structural phase transition in a mesoscopic system.

19 pages, 7 figures

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Cited by in corpus (12)

• Implementation of the Dicke lattice model in hybrid quantum system arrays
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Adiabatic quantum metrology with strongly correlated quantum optical systems
• High-precision force sensing using a single trapped ion
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Two-dimensional spectroscopy for the study of ion Coulomb crystals
• Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions
• Mesoscopic mean-field theory for spin-boson chains in quantum optical systems
• Force sensors with precision beyond the standard quantum limit
• Quantum chaos and thermalization in the two-mode Dicke model
• Collective Modes in the Cooperative Jahn-Teller Model: Path Integral Approach
• Spin Phonon Relaxation Dynamics from a Conical Intersection of Trapped Rydberg Ions