Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866910663508492288 |
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| author | Birnkammer, Stefan Bohrdt, Annabelle Grusdt, Fabian Knap, Michael |
| author_facet | Birnkammer, Stefan Bohrdt, Annabelle Grusdt, Fabian Knap, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_09185 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions Birnkammer, Stefan Bohrdt, Annabelle Grusdt, Fabian Knap, Michael Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics 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. |
| title | Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions |
| topic | Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2012.09185 |