Detecting the topological phases of the Kitaev model via complex network analysis

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dc.contributor Zambrini, Roberta
dc.contributor Giorgi, Gian Luca Llodrà Bisellach, Guillem 2019 2020-04-15T09:05:11Z 2019-09-24
dc.description.abstract [eng] We characterize the topological quantum phase transition on the 1D Kitaev model via complex network analysis. Weighted networks are created by means of several two-body correlations measures, such as mutual information, concurrence and coherence, which serve to build different adjacency matrices. We also analytically calculate the energy spectrum of the system to study its critical properties and use topological arguments to justify the robustness of the phase transition. Correlations measurements are computed numerically in the ground state using two open-source Python libraries (QuTiP and OpenFermion) to implement the Kitaev model and analyze the results in the two topological phases. Complex network measures such as disparity, density and clustering, signal the quantum phase transition providing a wider approach to understand how the system approaches the critical region. ca
dc.format application/pdf
dc.language.iso eng ca
dc.publisher Universitat de les Illes Balears
dc.rights all rights reserved
dc.rights info:eu-repo/semantics/openAccess
dc.subject 53 - Física ca
dc.title Detecting the topological phases of the Kitaev model via complex network analysis ca
dc.type info:eu-repo/semantics/masterThesis ca
dc.type info:eu-repo/semantics/publishedVersion 2019-11-29T10:56:54Z info:eu-repo/date/embargoEnd/2050-01-01
dc.embargo 2050-01-01
dc.rights.accessRights info:eu-repo/semantics/embargoedAccess

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