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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/048A7D46-E414-4908-A638-C6583CD8EA11 | ||
| Year | 2016 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | A. V. Sorokin, M. Aparicio Alcalde, V. M. Bastidas, G. Engelhardt, D. G. Angelakis and T. Brandes, "Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models," Phys. Rev. E, vol. 94, no. 3, Sept. 2016. doi: 10.1103/PhysRevE.94.032123 https://doi.org/10.1103/PhysRevE.94.032123 | ||
| Appears in Collections |
In this work we study a one-dimensional lattice of Lipkin-Meshkov-Glick models with alternating couplings between nearest-neighbors sites, which resembles the Su-Schrieffer-Heeger model. Typical properties of the underlying models are present in our semiclassical-topological hybrid system, allowing us to investigate an interplay between semiclassical bifurcations at mean-field level and topological phases. Our results show that bifurcations of the energy landscape lead to diverse ordered quantum phases. Furthermore, the study of the quantum fluctuations around the mean-field solution reveals the existence of nontrivial topological phases. These are characterized by the emergence of localized states at the edges of a chain with free open-boundary conditions.
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