Quantum dynamics of a four-well Bose-Hubbard model with two different tunneling rates

Chianca, C. V. and Olsen, M. K. (2011) Quantum dynamics of a four-well Bose-Hubbard model with two different tunneling rates. Physical Review A - Atomic, Molecular, and Optical Physics, 83 4: 043607-1-043607-9. doi:10.1103/PhysRevA.83.043607

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Author Chianca, C. V.
Olsen, M. K.
Title Quantum dynamics of a four-well Bose-Hubbard model with two different tunneling rates
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2011-04-08
Sub-type Article (original research)
DOI 10.1103/PhysRevA.83.043607
Open Access Status File (Publisher version)
Volume 83
Issue 4
Start page 043607-1
End page 043607-9
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2012
Language eng
Abstract We consider a theoretical model of a four-mode Bose-Hubbard model consisting of two pairs of wells coupled via two processes with two different rates. The model is naturally divided into two subsystems with strong intrasystem coupling and much weaker coupling between the two subsystems and has previously been introduced as a model for Josephson heat oscillations by Strzys and Anglin [ Phys. Rev. A 81 043616 (2010)]. We examine the quantum dynamics of this model for a range of different initial conditions, in terms of both the number distribution among the wells and the quantum statistics. We find that the time evolution is different to that predicted by a mean-field model and that this system exhibits a wide range of interesting behaviours. We find that the system equilibrates to a maximum entropy state and is thus a useful model for quantum thermalisation. As our model may be realized to a good approximation in the laboratory, it becomes a candidate for experimental investigation.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article #043607

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
 
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Created: Mon, 22 Aug 2011, 15:10:16 EST by Dr Murray Olsen on behalf of School of Mathematics & Physics