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Entanglement in the Quantum Phase Transition of the Half-Integer Spin One-Dimensional Heisenberg Model


Affiliations
1 Departamento de Fisica e Matematica, Centro Federal de Educacao Tecnologica de Minas Gerais, Belo Horizonte, MG, Brazil
 

We use the Bethe's ansatz method to study the entanglement of spinons in the quantum phase transition of half integer spin one-dimensional magnetic chains known as quantum wires. We calculate the entanglement in the limit of the number of particles N < ∞. We obtain an abrupt change in the entanglement next the quantum phase transition point of the anisotropy parameter Δ = 1 from the gapped phase Δ > 1 to gapless phase Δ < 1.

Keywords

Entanglement, Quantum-Phase-Transition, One-Dimensional, Heisenberg Model, Spin One-Half.
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  • Entanglement in the Quantum Phase Transition of the Half-Integer Spin One-Dimensional Heisenberg Model

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Authors

Leonardo S. Lima
Departamento de Fisica e Matematica, Centro Federal de Educacao Tecnologica de Minas Gerais, Belo Horizonte, MG, Brazil

Abstract


We use the Bethe's ansatz method to study the entanglement of spinons in the quantum phase transition of half integer spin one-dimensional magnetic chains known as quantum wires. We calculate the entanglement in the limit of the number of particles N < ∞. We obtain an abrupt change in the entanglement next the quantum phase transition point of the anisotropy parameter Δ = 1 from the gapped phase Δ > 1 to gapless phase Δ < 1.

Keywords


Entanglement, Quantum-Phase-Transition, One-Dimensional, Heisenberg Model, Spin One-Half.