Two-particle states in one-dimensional coupled Bose-Hubbard models

  title={Two-particle states in one-dimensional coupled Bose-Hubbard models},
  author={Yabo Li and D Schneble and Tzu-Chieh Wei},
  journal={Physical Review A},
We study dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Even though the wave functions do not directly follow the form of a Bethe Ansatz, we describe an intuitive construction to express them as combinations of Choy-Haldane states for models with intraand inter-species interaction. We find that the two-particle spectrum of the system with generic interactions comprises in general four different continua and… 



Ground-state properties of the attractive one-dimensional Bose-Hubbard model

We study the ground state of the attractive one-dimensional Bose-Hubbard model, and in particular the nature of the crossover between the weak interaction and strong interaction regimes for finite

Bound states in the continuum realized in the one-dimensional two-particle Hubbard model with an impurity.

A bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential has the Bethe-ansatz form, although the model is nonintegrable.

Two-particle states in the Hubbard model

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

Bound states in the one-dimensional two-particle Hubbard model with an impurity

We investigate bound states in the one-dimensional two-particle Bose-Hubbard model with an attractive ($V> 0$) impurity potential. This is a one-dimensional, discrete analogy of the hydrogen negative

Effective many-body Hamiltonians of qubit-photon bound states

Quantum emitters (QEs) coupled to structured baths can localize multiple photons around them and form qubit-photon bound states. In the Markovian or weak coupling regime, the interaction of QEs

Scattering resonances and two-particle bound states of the extended Hubbard model

We present a complete derivation of two-particle states of the one-dimensional extended Bose–Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that

Analysis of non-Markovian coupling of a lattice-trapped atom to free space

Behavior analogous to that of spontaneous emission in photonic band gap materials has been predicted for an atom-optical system consisting of an atom confined in a well of a state-dependent optical

Boson localization and the superfluid-insulator transition.

It is argued that the superfluid-insulator transition in the presence of disorder may have an upper critical dimension dc which is infinite, but a perturbative renormalization-group calculation wherein the critical exponents have mean-field values for weak disorder above d=4 is also discussed.

Quantum phase transitions of light

The ability to conduct experiments at length scales and temperatures at which interesting and potentially useful quantum-mechanical phenomena emerge in condensed-matter or atomic systems is now

Superfluidity of interacting bosonic mixtures in optical lattices.

Near the superfluid-to-Mott insulator transition for one component, the presence of a second component can reduce the apparent superfluid coherence, most significantly when the second component either experiences a strongly localizing lattice potential or none at all.