We determine thermal entanglement in mean field clusters of N spin one-half particles interacting via the anisotropic Heisenberg interaction, with and without external magnetic field. For the xxx cluster in the absence of magnetic field we prove that only the N = 2 ferromagnetic cluster shows entanglement. An external magnetic field B can only entangle xxx anti-ferromagnetic clusters in certain...

The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the nearest neighbor and the second neighbor correlations were known. In 1990’s multiple integral formula for the general correlations is derived. But the integration of this formula...

We investigate the subsystem Schatten distance, trace distance and fidelity between quasiparticle excited states of free nearest-neighbor coupled fermionic bosonic chains ferromagnetic phase spin-1/2 XXX chain. The results support scenario that in scaling limit when one has a large energy it decouples from ground state two quasiparticles have momentum difference they decouple each other. From p...

colored dots are replaced with one or more found image(s). This data support our qualitative observations that Diana only responded to conditions where images shown were from cartoon shows, and that audio feedback reduced her SSLV (Q4). Three statistically significant conditions were Spinning Image (a found image from a cartoon spins on axis), Form of Visual Feedback P value (without audio) P v...

The Bethe ansatz equations of the 1-D Hubbard model under open boundaryconditions are systematically derived by diagonalizing the inhomogeneous trans-fer matrix of the XXX model with open boundaries. Through the finite-sizecorrection, we obtain the energy spectrum of the open chain and discuss the ef-fects of boundary magnetic fields applied only at the edges of the chain. S...

The effects of the temperature were taken into account and some authors used thermal entanglement to study the electron spin system or other models at finite temperature in Refs.[2,3,4]. For example, X.G. Wang investigated the isotropic Heisenberg XXX model at finite temperature[3]. Y. Sun et al. investigated the thermal entanglement in the two-qubit Heisenberg XY model in nonuniform magnetic f...

We postulate that positional information for secondary embryonic fields is generated by a cooperative interaction between two pairs of differently determined cell types. Positional information is thus generated at the boundaries between cells of different determination. The latter are assumed to result from the primary pattern formation in the embryo. The application of this model to vertebrate...