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Open Quantum Systems Decoherence

Exact solution of a generalized two-sites Bose-Hubbard model

arXiv
Authors: Gilberto N. Santos Filho

Year

2016

Paper ID

42797

Status

Preprint

Abstract Read

~2 min

Abstract Words

70

Citations

N/A

Abstract

I introduce a new parametrization of a bosonic Lax operator for the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix and use it to present the exact solution of a generalized two-sites Bose-Hubbard model with asymmetric tunnelling. In the no interaction limit I show that the Bethe ansatz equations can be written as a SN-1 sphere, where N is the total number of atoms in the condensate.

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  • I introduce a new parametrization of a bosonic Lax operator for the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix and use it to present the exact solution of...

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