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

Stefan Birnkammer; Annabelle Bohrdt; Fabian Grusdt; Michael Knap

doi:10.1103/physrevb.105.l241103

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arXiv · 2012.09185

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

Stefan Birnkammer·Annabelle Bohrdt·Fabian Grusdt·Michael Knap

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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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cond-mat.quant-gas cond-mat.stat-mech cond-mat.str-el quant-ph

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Stefan Birnkammer, Annabelle Bohrdt, Fabian Grusdt, Michael Knap. 2020-12-16. Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions. https://doi.org/10.1103/physrevb.105.l241103

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