Sharp phase transitions in a small frustrated network of trapped ion spins

Abstract

Sharp quantum phase transitions typically require a large system with many particles. Here we show that for a frustrated fully-connected Ising spin network represented by trapped atomic ions, the competition between different spin orders leads to rich phase transitions whose sharpness scales exponentially with the number of spins. This unusual finite-size scaling behavior opens up the possibility of observing sharp quantum phase transitions in a system of just a few trapped ion spins.

5 pages, 4 figures

References in corpus (8)

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• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
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• Spin many-body phases in standard and topological waveguide QED simulators
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
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• Simulating the Haldane Phase in Trapped Ion Spins Using Optical Fields
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• Scaling properties of work fluctuations after quenches at quantum transitions
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• Intrinsic phonon effects on analog quantum simulators with ultracold trapped ions
• Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
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• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Simulation of Quantum Magnetism in Mixed Spin Systems with Impurity Doped Ion Crystal
• Adiabatic Mach-Zehnder interferometer via an array of trapped ions
• Ramp dynamics of phonons in an ion trap: entanglement generation and cooling
• Comparison of Spontaneous Emission in Trapped Ion Multiqubit Gates at High Magnetic Fields
• Non-equilibrium phonon dynamics in trapped ion systems
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Quantum Simulation of Non-perturbative Cavity QED with Trapped Ions
• Effective spin physics in two-dimensional cavity QED arrays
• Quantum Phase Transition with a Simple Variational Ansatz
• Theory of phonon dynamics in an ion trap
• Protective measurement of a qubit by a qubit probe