In an XX central spin model, a particular interacts with bath of other spins through term which only couples their XY-plane components. the presence arbitrarily oriented magnetic field, it is shown that certain eigenstates this model are such remains in pure state, completely disentangled from bath. Remarkably, decoupling environment becomes possible when interaction strong enough.

We report here specialized functions incorporated recently in the rigid-body docking software toolkit TagDock to utilize electron paramagnetic resonance derived (EPR-derived) interresidue distance measurements and spin-label accessibility data. The TagDock package extensions include a custom methanethiosulfonate spin label rotamer library to enable explicit, all-atom spin-label side-chain model...

A new scheme to study the XXZ spin chain in massive regime is introduced by Davies et al in [1]. In this scheme, which is called “quantum symmetry approach”, the space of states is identified with some Uq(A (1) 1 )-module. Under this identification, the XXZ Hamiltonian can be constructed on this module as an operator which commutes with the action of Uq(A (1) 1 ). Furthermore, the row transfer ...

The free energy and correlation lengths of the spin-1/2 XY Z chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented for the low-temperature asymptotics, in particular for the critical XXZ chain in an external magnetic field. These results are compared to predictions by conf...

The model of Kondo chain with M-fold degenerate band of conduction electrons of spin 1/2 at half filling interacting with localized spins S is studied. It is shown that due to the instanton effects the spin sector reveals itself in optical conductivity. Namely, the density of the charge current at large wave vector k ≈ π is proportional to the density of topological charge of the staggered magn...

Topological indices are numerical parameters of a molecular graph G which characterize its topology. On the other hands, computing the connectivity indices of molecular graphs is an important branch in chemical graph theory. Therefore, we compute First Zagreb index Zg   <span style="font-family: TimesNewRomanPS-Italic...

We first analyze the spinning string in the magnetic field deformed AdS5×S spacetime which was constructed in our previous paper. It is seen that the associated effective Lagrangian of string sigma model describes the spin chain model with magnetic field, in which the corresponding spin vector has been properly deformed and is living on the deformed S. The mechanism of spin deformation is descr...

The complete one-loop, planar dilatation operator of the N = 4 superconformal gauge theory was recently derived and shown to be integrable. Here, we present further compelling evidence for a generalisation of this integrable structure to higher orders of the coupling constant. For that we consider the su(2|3) subsector and investigate the restrictions imposed on the spin chain Hamiltonian by th...

The form of the spectral curve for 4d N = 2 supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its 1d integrable counterpart should be looked for among (inhomogeneous) sl(2) spin chains with the length of the chain being equal to the number of colours Nc. For N f < 2Nc the relevant spin chain is the simplest XXX-model, and this...

We consider the case of an integrable quantum spin chain with “soliton non-preserving” boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by mean...