Dimensional crossover in bose-hubbard model.
We used quantum Monte Carlo simulation to investigate the dimensional crossover in the Bose-Hubbard model when the inter layer coupling Jp was reduced from 1 to 0. In particular, the evolution of the superfluid transition was studied. We found that the critical temperature of phase transition dec...
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| Format: | Final Year Project |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10356/44546 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | We used quantum Monte Carlo simulation to investigate the dimensional crossover
in the Bose-Hubbard model when the inter layer coupling Jp was reduced from 1 to 0.
In particular, the evolution of the superfluid transition was studied. We found that the
critical temperature of phase transition decreases monotonically with Jp and the system
started to have a 2-D behavior when Jp < 0.04. The critical temperature eventually
converged to the critical temperature (Tc = 0.79(1)) of the 2-D Berezinsky-Kosterlitz-
Thouless transition. The dimensional crossover was observed. |
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