Eur. Phys. J. B (2013) 86: 231
https://doi.org/10.1140/epjb/e2013-40154-8

Regular Article

Klein tunneling of two correlated bosons

Dipartimento di Fisica, Politecnico di Milano and Istituto di Fotonica e Nanotecnologie del Consiglio Nazionale delle Ricerche, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

^a e-mail: stefano.longhi@fisi.polimi.it

Received: 22 February 2013
Received in final form: 29 March 2013
Published online: 29 May 2013

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.