V. L. Bulatov and P. E. Kornilovitch 2005 Europhys. Lett. 71 352 doi:10.1209/epl/i2005-10102-7
V. L. Bulatov1 and P. E. Kornilovitch2
Show affiliationsA novel non-perturbative method of solving scattering problems for bound pairs on a lattice is developed. Two different break-ups of the Hamiltonian are employed to calculate the full Green operator and the wave function of the scattered pair. The calculation converges exponentially in the number of basis states used to represent the non-translation–invariant part of the Green operator. The method is general and applicable to a variety of scattering and tunneling problems. As the first application, the problem of pair tunneling through a weak link on a one-dimensional lattice is solved. It is found that at the momentum values close to ±π the pair tunnels much easier than one particle, with the transmission coefficient approaching unity. This anomalously high transmission is a consequence of the existence of a two-body resonant state localized at the weak link.
71.10.Li Excited states and pairing interactions in model systems
Issue 3 (August 2005)
Received 13 April 2005, accepted for publication 7 June 2005, in final form 7 June 2005
Published 14 July 2005
V. L. Bulatov and P. E. Kornilovitch 2005 Europhys. Lett. 71 352
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