Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions

Abstract

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this physics experimentally. We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles. Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics. We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles (`qutrits') with 86% fidelity. By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase. This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.

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Cited by in corpus (6)

• Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
• Simulating generic spin-boson models with matrix product states
• Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
• Noise-induced transport in the motion of trapped ions
• Emergent incommensurate correlations in the frustrated ferromagnetic spin-1 chains
• Pair entanglement in dimerized spin-s chains