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Condensed Matter > Quantum Gases
Title: Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
(Submitted on 16 Dec 2020 (v1), last revised 8 Jun 2022 (this version, v2))
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.
Submission history
From: Stefan Birnkammer [view email][v1] Wed, 16 Dec 2020 19:00:02 GMT (2210kb,D)
[v2] Wed, 8 Jun 2022 09:53:54 GMT (4852kb,D)
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