Pattern formation with trapped ions

Abstract

Ion traps are a versatile tool to study nonequilibrium statistical physics, due to the tunability of dissipation and nonlinearity. We propose an experiment with a chain of trapped ions, where dissipation is provided by laser heating and cooling, while nonlinearity is provided by trap anharmonicity and beam shaping. The collective dynamics are governed by an equation similar to the complex Ginzburg-Landau equation, except that the reactive nature of the coupling leads to qualitatively different behavior. The system has the unusual feature of being both oscillatory and excitable at the same time. We account for noise from spontaneous emission and find that the patterns are observable for realistic experimental parameters. Our scheme also allows controllable experiments with noise and quenched disorder.

4 pages + appendix

References in corpus (7)

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• Quantum computing with trapped ions
• Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
• Synchronization by Nonlinear Frequency Pulling
• Synchronization by Reactive Coupling and Nonlinear Frequency Pulling
• A single-ion nonlinear mechanical oscillator
• Quasi regular concentric waves in heterogeneous lattices of coupled oscillators

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