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Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models

Sorokin A. V., Aparicio Alcalde M., Bastidas Victor Manuel, Engelhardt Georg, Aggelakis Dimitrios, Brandes Tobias Scott

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URIhttp://purl.tuc.gr/dl/dias/048A7D46-E414-4908-A638-C6583CD8EA11-
Identifierhttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.032123-
Identifierhttps://doi.org/10.1103/PhysRevE.94.032123-
Languageen-
TitleSemiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick modelsen
CreatorSorokin A. V.en
CreatorAparicio Alcalde M.en
CreatorBastidas Victor Manuelen
CreatorEngelhardt Georgen
CreatorAggelakis Dimitriosen
CreatorΑγγελακης Δημητριοςel
CreatorBrandes Tobias Scotten
PublisherAmerican Physical Societyen
Content SummaryIn 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.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-10-08-
Date of Publication2016-
SubjectBifurcationsen
SubjectComplex systemsen
SubjectPhase transitionsen
Bibliographic CitationA. 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 en

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