Characterizing topological excitations of a long-range Heisenberg model with trapped ions

Birnkammer, Stefan; Bohrdt, Annabelle; Grusdt, Fabian und Knap, Michael (2022): Characterizing topological excitations of a long-range Heisenberg model with trapped ions. In: Physical Review B, Bd. 105, Nr. 24, L241103

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 2469-9950
• Sprache: Englisch
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390814868
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 107745057
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 277974659