Type-I quantum impurities are investigated in the context of the integrable Heisenberg model. This type of defects is associated to the (q)-harmonic oscillator algebra. The transmission matrices associated to this particular type of defects are computed via the Bethe ansatz methodology for the XXX model, as well as for the critical and non-critical XXZ spin chain. In the attractive regime of th...

We prove that in the presence of a maximal giant graviton state in N = 4 SYM, the states dual to open strings attached to the giant graviton give rise to an PSU(2, 2|4) open spin chain model with integrable boundary conditions in the SO(6) sector of the spin chain to one loop order.

Quantum state transport is an important way to study the energy or information flow. By combining unconventional Rydberg pumping mechanism and diagonal form of van der Waals interactions, we construct a theoretical model via second-order perturbation theory realize long-range coherent inside ground-state manifold neutral atoms systems. With adjustment Rabi frequencies interatomic distance, this...

We study a XY model which consists of a spin chain coupled to heat baths. We give a repeated quantum interaction Hamiltonian describing this model. We compute the explicit form of the associated Lindblad generator in the case of the spin chain coupled to one, two and several heat baths. We further study the properties of quantum master equation such as approach to equilibrium, local equilibrium...

We derive the asymptotic Bethe ansatz (AFS equations [1]) for the string on S ×R sector of AdS5 ×S5 from the integrable nonhomogeneous dynamical spin chain for the string sigma model proposed in [2]. It is clear from the derivation that AFS equations can be viewed only as an effective model describing a certain regime of a more fundamental inhomogeneous spin chain. Membre de l’Institut Universi...

Generalizing the mapping between the Potts model with nearest neighbour interaction and the six vertex model, we build a family of " fused Potts models " related to the spin k/2 Uqsu(2) invariant vertex model and quantum spin chain. These Potts models have still variables taking values 1,. .. , Q (√ Q = q + q −1) but they have a set of complicated multi spin interactions. The general technique ...

Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of N = 4 gauge theory in the su(2) sector to at least three-loop order, while exhibiting BMN scaling to all orders in perturbation theory. Here we identify this spin chain as an approximation to an integrable short-rangedmodel of strongly correlated electrons: The Hubbard model.