Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/102761
Title: | Scaling of entanglement entropy for chains of arbitrary spin |
Author: | Blázquez Cruz, Guillermo |
Director/Tutor: | Latorre, José Ignacio |
Keywords: | Entrellaçament quàntic Entropia Spin (Física nuclear) Treballs de fi de grau Quantum entanglement Entropy Nuclear spin Bachelor's theses |
Issue Date: | Jun-2016 |
Abstract: | 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. |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: José Ignacio Latorre |
URI: | http://hdl.handle.net/2445/102761 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
TFG_ FIS_Blazquez_Cruz_Guillermo.pdf | 298.41 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License