We consider the one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model with added... more We consider the one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model with added Dzyaloshinskii-Moriya (DM) interaction. We study the effect of a uniform DM interaction on the ground state phase diagram of the model using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state phase diagram of the model consists of only a single phase: "chiral". The quantum corrections of the DM interaction effect on the ground state phase diagram are determined by an accurate numerical experiment. A rich phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is observed in different sectors of the quantum phase diagram. We also calculate the concurrence in the three ground state phases, and find that not only next nearest neighbors are entangled but also sites at the end of chain are entangled, which shows long distance entanglement (LDE) feature that can be controlled by DM interaction.
We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising mode... more We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising model with added Dzyaloshinsky-Moriya (DM) interaction from bi- partite and multi-partite entanglement point of view. Using exact numerical solutions, we are able to study such systems up to 24 qubits. The minimum of the entanglement ratio R $\equiv$ \tau 2/\tau 1 < 1, as a novel estimator of QPT, has been used to detect QPT and our calculations have shown that its minimum took place at the critical point. We have also shown both the global-entanglement (GE) and multipartite entanglement (ME) are maximal at the critical point for the Ising chain with added DM interaction. Using matrix product state approach, we have calculated the tangle and concurrence of the model and it is able to capture and confirm our numerical experiment result. Lack of inversion symmetry in the presence of DM interaction stimulated us to study entanglement of three qubits in symmetric and antisymmetric way which brings some surprising results.
The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classic... more The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: "chiral". The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows the long distance entanglement (LDE) feature that can be controlled by DM interaction.
We consider the one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model with added... more We consider the one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model with added Dzyaloshinskii-Moriya (DM) interaction. We study the effect of a uniform DM interaction on the ground state phase diagram of the model using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state phase diagram of the model consists of only a single phase: "chiral". The quantum corrections of the DM interaction effect on the ground state phase diagram are determined by an accurate numerical experiment. A rich phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is observed in different sectors of the quantum phase diagram. We also calculate the concurrence in the three ground state phases, and find that not only next nearest neighbors are entangled but also sites at the end of chain are entangled, which shows long distance entanglement (LDE) feature that can be controlled by DM interaction.
We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising mode... more We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising model with added Dzyaloshinsky-Moriya (DM) interaction from bi- partite and multi-partite entanglement point of view. Using exact numerical solutions, we are able to study such systems up to 24 qubits. The minimum of the entanglement ratio R $\equiv$ \tau 2/\tau 1 < 1, as a novel estimator of QPT, has been used to detect QPT and our calculations have shown that its minimum took place at the critical point. We have also shown both the global-entanglement (GE) and multipartite entanglement (ME) are maximal at the critical point for the Ising chain with added DM interaction. Using matrix product state approach, we have calculated the tangle and concurrence of the model and it is able to capture and confirm our numerical experiment result. Lack of inversion symmetry in the presence of DM interaction stimulated us to study entanglement of three qubits in symmetric and antisymmetric way which brings some surprising results.
The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classic... more The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: "chiral". The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows the long distance entanglement (LDE) feature that can be controlled by DM interaction.
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Papers by Javad Vahedi