Tesi etd-09022014-003543 |
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Tipo di tesi
Tesi di laurea magistrale
Autore
FACOETTI, DAVIDE
URN
etd-09022014-003543
Titolo
Entanglement in one-dimensional systems with interfaces and defects
Dipartimento
FISICA
Corso di studi
FISICA
Relatori
relatore Calabrese, Pasquale
relatore Mintchev, Mihail
relatore Mintchev, Mihail
Parole chiave
- Boundary Quantum Field Theory
- Conformal Field Theory
- Defects
- Entanglement
- Many-body theory
- Quantum wires
Data inizio appello
20/10/2014
Consultabilità
Completa
Riassunto
The study of entanglement measures is of interest in various fields of physics. Entanglement entropy and negativity are computable using field theoretical techniques, providing a meeting point between many-body and high energy physics. This work studies such measures in extended one-dimensional systems with defects or junctions.
The focus is on critical systems, where CFT techniques can be used, and defects which do not break criticality. Universal results are obtained using Boundary CFT, in particular for the free boson theory. Its lattice version, the quantum harmonic chain is also studied, and used for numerical simulations. Junctions of more than two system at a vertex are studied using the techniques of QFT on star graphs.
The focus is on critical systems, where CFT techniques can be used, and defects which do not break criticality. Universal results are obtained using Boundary CFT, in particular for the free boson theory. Its lattice version, the quantum harmonic chain is also studied, and used for numerical simulations. Junctions of more than two system at a vertex are studied using the techniques of QFT on star graphs.
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