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2013 | OriginalPaper | Chapter

Temperature Effects on the Quantum Coherence of Bosonic Josephson Junctions

Authors : B. Juliá-Díaz, J. Martorell, A. Polls

Published in: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Publisher: Springer Berlin Heidelberg

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Abstract

We analyze the effects of temperature on the properties of a system of ultracold atoms confined by a double-well potential. We consider the case of repulsive interactions and review the different approximations to the exact many-body results.

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Footnotes
1
Although the physics is of course different, the mathematical approach followed here is the familiar one in the theory of paramagnetism. See e.g. the textbooks of Ashcroft and Mermin [21] or Kittel [22]. In particular Eqs. (14), and (25) involve the same Brillouin function that plays a central role in the study of paramagnetic ions.
 
2
Note that in Refs. [23, 24] experimental data are measured for \(E_C = 0.016\,{\text{nK}},\, E_J =0.43\,{\text{nK}}\) and \(N=3000\) atoms. Thus \(E_J/(E_C N^2) =2.986 \cdot 10^{-4} \ll 1\). In our notations: \(E_J/(E_C N^2) = ( J N)/(2 UN^2) = 1/(4\gamma)\), and indeed this implies that \(\gamma \gg 1\) in their experiment.
 
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Metadata
Title
Temperature Effects on the Quantum Coherence of Bosonic Josephson Junctions
Authors
B. Juliá-Díaz
J. Martorell
A. Polls
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/10091_2012_17

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