147 citations · 257 across the 6 of their papers we have counts for
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quant-ph2009★ 68 cited
Scattering resonances and two-particle bound states of the extended Hubbard model
Manuel Valiente, David Petrosyan
We present a complete derivation of two-particle states of the one-dimensional extended Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions.…
quant-ph2008★ 147 cited
Two-particle states in the Hubbard model
Manuel Valiente, David Petrosyan
We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with attractive or repulsive on-site interaction. We de…
quant-ph2008★ 28 cited
Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential
Manuel Valiente, David Petrosyan
Strongly interacting bosonic particles in a tight-binding periodic potential superimposed by a weak parabolic trap is a paradigm for many cold atom experiments. Here, after revisit…