The Two-Site Bose–Hubbard Model
نویسندگان
چکیده
منابع مشابه
Notas de F́ısica CBPF - NF - 010 / 14 November 2014 The two - site BoseHubbard model
The two-site Bose–Hubbard model is a simple model used to study Josephson tunneling between two Bose–Einstein condensates. In this work we give an overview of some mathematical aspects of this model. Using a classical analysis, we study the equations of motion and the level curves of the Hamiltonian. Then, the quantum dynamics of the model is investigated using direct diagonalisation of the Ham...
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Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics, in which the entropic index q plays an important role, the conventional Boltzman-Gibbs statistics being recovered in the limit of q = 1. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the ma...
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Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the magnetic-field dependence of the magnetization have been calculated for various values of the entropic index q: the result for q = 1 in the...
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Canonical ensembles of Hubbard dimers, each of which is described by the two-site Hubbard model, have been studied within the nonextensive statistics (NES). The temperature dependences of the energy, entropy, specific heat and susceptibility have been calculated for the number of dimers M = 1, 2, 3 and ∞. We have assumed the relation between the entropic index q and the cluster size N given by ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2006
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-006-0295-3