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 |
|