Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions

• URL: http://arxiv.org/abs/2012.09185v2
• Date: Wed, 8 Jun 2022 09:53:54 GMT
• Title: Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Authors: Stefan Birnkammer, Annabelle Bohrdt, Fabian Grusdt, Michael Knap
• Abstract summary: We propose a Floquet protocol to realize the antiferromagnetic Heisenberg model with power-law decaying interactions. We show that this model features a quantum phase transition from a liquid to a valence bond solid that spontaneously breaks lattice translational symmetry. We moreover introduce an interferometric protocol to characterize the topological excitations and the bulk topological invariants of the interacting many-body system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Realizing and characterizing interacting topological phases in synthetic quantum systems is a formidable challenge. Here, we propose a Floquet protocol to realize the antiferromagnetic Heisenberg model with power-law decaying interactions. Based on analytical and numerical arguments, we show that this model features a quantum phase transition from a liquid to a valence bond solid that spontaneously breaks lattice translational symmetry and is reminiscent of the Majumdar-Ghosh state. The different phases can be probed dynamically by measuring the evolution of a fully dimerized state. We moreover introduce an interferometric protocol to characterize the topological excitations and the bulk topological invariants of the interacting many-body system.

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