147 citations · 257 across the 6 of their papers we have counts for
6 papers
Boson-Gutzwiller Quantum liquids on a lattice
Daniel Pérez-Cruz, Manuel Valiente
We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive on-site two-body interactions, we includ…
Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice
Manuel Valiente
We consider one-dimensional theories of chiral fermions and bosons on a lattice, which arise as edge states of two-dimensional topological matter breaking time-reversal invariance.…
Frustrated collisions and unconventional pairing on a quantum superlattice
Manuel Valiente, Matthias Kuster, Alejandro Saenz
We solve the problem of scattering and binding of two spin-1/2 fermions on a one-dimensional superlattice with a period of twice the lattice spacing analytically. We find the exact…
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.…
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…
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…