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Scaling of entanglement entropy for chains of arbitrary spin

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dc.contributor Latorre, José Ignacio
dc.creator Blázquez Cruz, Guillermo
dc.date 2016-10-19T16:26:14Z
dc.date 2016-10-19T16:26:14Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:23:16Z
dc.date.available 2024-12-16T10:23:16Z
dc.identifier http://hdl.handle.net/2445/102761
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/15703
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: José Ignacio Latorre
dc.description We investigate the entanglement entropy of a 1D Hamiltonian written in terms of the generalized Gell-Mann matrices that shares some properties with the spin-1/2 XXZ model. In particular, we study the point that marks the boundary between a critical phase and a ferromagnetic phase. This point cannot be described by a conformal field theory and its ground state is infinitely degenerate in the thermodynamic limit. We find an analytical expression for the ground state and its Schmidt decomposition, and show that the entanglement entropy scales as s log2 L in the leading order, where L is the size of the subsystem and s is the spin. The scaling is related to the symmetric-like structure of the ground state.
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Blázquez, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Física
dc.subject Entrellaçament quàntic
dc.subject Entropia
dc.subject Spin (Física nuclear)
dc.subject Treballs de fi de grau
dc.subject Quantum entanglement
dc.subject Entropy
dc.subject Nuclear spin
dc.subject Bachelor's theses
dc.title Scaling of entanglement entropy for chains of arbitrary spin
dc.type info:eu-repo/semantics/bachelorThesis


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