Anisotropic spin chain: Heisenberg’s xxz model for 3 inverted spins

T. Fujita, Takuya Kobayashi, Makoto Hiramoto +1 more

А.М. Калиев

we study the numerical solutions of the Bethe ansatz equations for the inhomogeneous anisotropic XXZ Heisenberg model with a finite number of spins, with four inverted spins.Having determined the phases of the wave functions and using N-periodicity, we obtained numerical solutions for the system of Bethe equations of the anisotropic antiferromagnetic XXZ Heisenberg model.Using algebraic Bethe ansatz, various pulse and energy configurations for these states were given.

Anatol N. Kirillov, Nicolai Reshetikhin

Yong Zhang, Long Gui-Lu

The entanglement properties of a three-spin XXZ Heisenberg chain with three-spin interaction are studied by means of concurrence of pairwise entanglement. We show that ground-state pairwise entanglement, pairwise thermal entanglement, or quantum phase transition is not present in antiferromagnetic spin chain. For the ferromagnetic case, quantum phase transition takes place at Δ = 1 for anisotropic interaction and at some values of three-spin coupling strength, and pairwise thermal entanglement increases when the value of J / T increases and with anisotropic interaction and three-spin interaction decrease. In addition, we find that increasing the anisotropic interaction and the three-spin interaction will decrease critical temperature.

Ueli Glaus

Hao Xiang, Zhu Shi-Qun

The transmission of quantum states in the anisotropic Heisenberg XXZ chain model with three-spin exchange interaction is studied. The average fidelity is used to evaluate the state transfer. It is found that quantum communication can be enhanced by the anisotropic coupling and multiple spin interaction. Such spin model can reduce the time required for the perfect state transmission where the fidelity is unity. The maximally entangled Bell states can be generated and separated from the whole quantum systems.