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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Main Author: Zhang, Zhifeng.
Other Authors: School of Physical and Mathematical Sciences
Format: Final Year Project
Language:English
Published: 2011
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Online Access:http://hdl.handle.net/10356/44546
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-445462023-02-28T23:13:18Z Dimensional crossover in bose-hubbard model. Zhang, Zhifeng. School of Physical and Mathematical Sciences Pinaki Sengupta DRNTU::Science::Physics 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. Bachelor of Science in Physics 2011-06-02T04:19:12Z 2011-06-02T04:19:12Z 2011 2011 Final Year Project (FYP) http://hdl.handle.net/10356/44546 en 73 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
spellingShingle DRNTU::Science::Physics
Zhang, Zhifeng.
Dimensional crossover in bose-hubbard model.
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Zhang, Zhifeng.
format Final Year Project
author Zhang, Zhifeng.
author_sort Zhang, Zhifeng.
title Dimensional crossover in bose-hubbard model.
title_short Dimensional crossover in bose-hubbard model.
title_full Dimensional crossover in bose-hubbard model.
title_fullStr Dimensional crossover in bose-hubbard model.
title_full_unstemmed Dimensional crossover in bose-hubbard model.
title_sort dimensional crossover in bose-hubbard model.
publishDate 2011
url http://hdl.handle.net/10356/44546
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