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Tesi etd-09042011-181613


Thesis type
Tesi di laurea specialistica
Author
FILIASI, MARIO
URN
etd-09042011-181613
Title
Quantum Entanglement in a One-Dimensional Lattice Bose Gas
Struttura
SCIENZE MATEMATICHE, FISICHE E NATURALI
Corso di studi
SCIENZE FISICHE
Commissione
relatore Prof. Vicari, Ettore
Parole chiave
  • quantum phase transitions
  • Bose-Hubbard model
  • entanglement entropy
Data inizio appello
20/09/2011;
Consultabilità
parziale
Data di rilascio
20/09/2051
Riassunto analitico
We examine some aspects of the quantum entanglement in a system composed of N impenetrable boson particles moving on a 1D optical lattice and confined by a harmonic trap.<br>We introduce the Bose-Hubbard model, which defines our theoretical framework, and we describe the quantum phase transitions in this model. We also introduce the concept of entanglement entropy, and we examine the scaling behaviour of the entropy depending on the lattice-size L and the trap-size l.<br>Our results concern the numerical evaluation of the entanglement entropy of the system:<br>We compute the half-lattice entropy and the one-particle entropy in the limits of infinite lattice-size and infinite trap-size, then we examine their dependence on the number of particles N, focusing on their asymptotic behaviour for large values of N.
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