In this Thesis we study a paradigmatic experimental set up established for the study of quantum many-body system, namely ultracold atoms trapped in optical lattice. In particular, we consider interacting bosons placed into a periodic optical lattice generated by a set of counter-propagating laser beams that form a stationary electric potential. The work will be organized as follows: first, we consider the system Hamiltonian in the formalism of first quantization. We introduce the second quantization formalism in order to derive the Bose-Hubbard Hamiltonian and study the proprieties of the system by doing a numerical analysis. Also, in this case we numerically study this system in order to gather informations about its proprieties.

Ultracold atoms trapped in optical lattice

Soriani, Luca
2019/2020

Abstract

In this Thesis we study a paradigmatic experimental set up established for the study of quantum many-body system, namely ultracold atoms trapped in optical lattice. In particular, we consider interacting bosons placed into a periodic optical lattice generated by a set of counter-propagating laser beams that form a stationary electric potential. The work will be organized as follows: first, we consider the system Hamiltonian in the formalism of first quantization. We introduce the second quantization formalism in order to derive the Bose-Hubbard Hamiltonian and study the proprieties of the system by doing a numerical analysis. Also, in this case we numerically study this system in order to gather informations about its proprieties.
2019-11-25
23
Ultracold atoms, optical lattice, Bose-Hubbard
File in questo prodotto:
File Dimensione Formato  
Tesi_L_Soriani_Luca.pdf

accesso aperto

Dimensione 902.32 kB
Formato Adobe PDF
902.32 kB Adobe PDF Visualizza/Apri

The text of this website © Università degli studi di Padova. Full Text are published under a non-exclusive license. Metadata are under a CC0 License

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/22637