Frustrated Quantum Spin Models with Cold Coulomb Crystals

Abstract

We exploit the geometry of a zig-zag cold-ion crystal in a linear trap to propose the quantum simulation of a paradigmatic model of long-ranged magnetic frustration. Such a quantum simulation would clarify the complex features of a rich phase diagram that presents ferromagnetic, dimerized antiferromagnetic, paramagnetic, and floating phases, together with previously unnoticed features that are hard to assess by numerics. We analyze in detail its experimental feasibility, and provide supporting numerical evidence on the basis of realistic parameters in current ion-trap technology.

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• Engineering spin-spin interactions with optical tweezers in trapped ions
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• Dimerized ground states in spin-S frustrated systems
• Dynamics of vortex defect formation in two dimensional Coulomb crystals
• The Effect of Micromotion and Local Stress in Quantum simulation with Trapped Ions in Optical Tweezers
• Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets
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