Observing frustrated quantum magnetism in two-dimensional ion crystals
Two-dimensional (2D) quantum magnetism is a paradigm in strongly correlated many-body physics. The understanding of 2D quantum magnetism can be expedited by employing a controllable quantum simulator that faithfully maps 2D-spin Hamiltonians. The 2D quantum simulators can exhibit exotic phenomena su...
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Zusammenfassung: | Two-dimensional (2D) quantum magnetism is a paradigm in strongly correlated
many-body physics. The understanding of 2D quantum magnetism can be expedited
by employing a controllable quantum simulator that faithfully maps 2D-spin
Hamiltonians. The 2D quantum simulators can exhibit exotic phenomena such as
frustrated quantum magnetism and topological order and can be used to show
quantum computational advantages. Many experimental platforms are being
developed, including Rydberg atoms and superconducting annealers. However, with
trapped-ion systems, which showed the most advanced controllability and quantum
coherence, quantum magnetism was explored in one-dimensional chains. Here, we
report simulations of frustrated quantum magnetism with 2D ion crystals. We
create a variety of spin-spin interactions for quantum magnets, including those
that exhibit frustration by driving different vibrational modes and
adiabatically prepare the corresponding ground states. The experimentally
measured ground states are consistent with the theoretical predictions and are
highly degenerate for geometrically frustrated spin models in two dimensions.
Quantum coherence of the ground states is probed by reversing the time
evolution of the B-field to the initial value and then measuring the extent to
which the remaining state coincides with the initial state. Our results open
the door for quantum simulations with 2D ion crystals. |
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DOI: | 10.48550/arxiv.2204.07283 |