Abstract
We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.
Original language | English |
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Article number | 161002 |
Number of pages | 4 |
Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |
Volume | 41 |
Issue number | 16 |
DOIs | |
Publication status | Published - 28 Aug 2008 |
Keywords
- OPTICAL LATTICES
- ULTRACOLD ATOMS