We discuss the construction of Baxter's Q-operator. The suggested approach leads to the one-parametric family of Q-operators, satisfying to the wronslian-type relations. Also we have found the generalization of Baxter operators, with defines the nondiagonal part of the monodromy.

Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T -operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also cha...

The integrable XXX spin s quantum chain and the alternating s1, s2 (s1 − s2 = 12) chain with boundaries are considered. The scattering of their excitations with the boundaries via the Bethe ansatz method is studied, and the exact boundary S matrices are computed in the limit s, s1,2 → ∞. Moreover, the connection of these models with the SU(2) Principal Chiral, WZW and the RSOS models is discuss...

We explain how to compute correlation functions at zero temperature within the framework of quantum version Separation Variables (SoV) in case a simple model: XXX Heisenberg chain spin 1/2 with twisted (quasi-periodic) boundary conditions. first detail all steps our method anti-periodic The model can be solved SoV by introducing inhomogeneity parameters. action local operators on eigenstates ar...

We determine exactly the probability distribution of the number N_(c) of valence bonds connecting a subsystem of length L>>1 to the rest of the system in the ground state of the XXX antiferromagnetic spin chain. This provides, in particular, the asymptotic behavior of the valence-bond entanglement entropy S_(VB)=N_(c)ln2=4ln2/pi(2)lnL disproving a recent conjecture that this should be related w...

The XXZ spin chain with a boundary magnetic field h is considered, using the vertex operator approach to diagonalize the Hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with zero particle content. There are three distinct regions when h ≥ 0, in which the structure of the vacuum states is different. Excited states are given by the action of vertex operators on the vacuu...

We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of K-matrix obeying the boundary Yang-Baxter equation using the R-matrix of the eight vertex model and derived the associated integrable spin-chain Hamiltonian. 1+1 dimensional integrable models with boundaries find interesting applications i...

In this paper, we investigate the thermal entanglement and teleportation of a thermally mixed entangled via two-qubit Heisenberg XXX chain with x-component $D_x$ Dzyaloshinskii-Moriya interaction. Our findings suggest that temperature $T$, spin coupling constant J, x-components may influence output states and, consequently, possibilities protocols. Furthermore, these results indicate requires l...