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Klein tunneling of two correlated bosons

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Abstract

Reflection of two strongly interacting bosons with long-rage interaction hopping on a one-dimensional lattice scattered off by a potential step is theoretically investigated in the framework of the extended Hubbard model. The analysis shows that, in the presence of unbalanced on-site and nearest-neighbor site interaction, two strongly correlated bosons forming a bound particle state can penetrate a high barrier, despite the single particle can not. Such a phenomenon is analogous to one-dimensional Klein tunneling of a relativistic massive Dirac particle across a potential step.

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Correspondence to Stefano Longhi.

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Longhi, S., Della Valle, G. Klein tunneling of two correlated bosons. Eur. Phys. J. B 86, 231 (2013). https://doi.org/10.1140/epjb/e2013-40154-8

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