Quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi></mml:math>-breathers in a finite Bose-Hubbard chain: The case of two interacting bosons

Jean Pierre Nguenang, Ricardo A. Pinto, Sergej Flach

Type: Article

Publication Date: 2007-06-14

Citations: 20

DOI: https://doi.org/10.1103/physrevb.75.214303

Abstract

We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard Hamiltonian in a finite one-dimensional lattice containing two bosons. The interaction between the bosons leads to an algebraic localization of the modified extended states in the normal-mode space of the noninteracting system. Weight functions of the eigenstates in the space of normal modes are computed by using numerical diagonalization and perturbation theory. We find that staggered states do not compactify in the dilute limit for large chains.

Locations

arXiv (Cornell University) - View - PDF
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Physical Review B - View

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