Rigorous results of phase transition theory in lattice boson models (Q902077)
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scientific article; zbMATH DE number 6527096
| Language | Label | Description | Also known as |
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| English | Rigorous results of phase transition theory in lattice boson models |
scientific article; zbMATH DE number 6527096 |
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Rigorous results of phase transition theory in lattice boson models (English)
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7 January 2016
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The present paper is related to quantum lattice systems consisting of boson systems that describe integer-spin particles moving along the lattice and interacting with each other. In this paper, it is considered two model systems related to the original Bose-Hubbard Hamiltonian. These are the so-called Bose-Hubbard model with exchange interaction of infinite radius and the Bose-Hubbard model with repulsion potential of hard spheres. It is established a rigorous proof of the presence of a Bose condensate in the super-stable lattice Bose gas model which includes the Bose-Hubbard model as a particular case. It is also presented certain statements concerning the domain of the phase diagram with non-Mott behavior.
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phase transition
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Bose-Hubbard model
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Bose condensation
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Mott insulator
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