Effect of anisotropy on the entanglement of quantum states in a spin chain

Kartsev, P. F.; Kashurnikov, VA

doi:10.1134/1.1830665

Cited by 3 publications

(3 citation statements)

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“…The combined effect of the magnetic field and the anisotropy in Heisenberg magnets was studied in (Jin and Korepin, 2004a) making use of the exact results existing for the one-dimensional XXZ model. It turns out that the concurrence increases with the anisotropy ∆ (Kartsev and Karshnukov, 2004). For strong magnetic fields the entanglement vanishes (the order is ferromagnetic); for large values of the anisotropy ∆ the state is a classical Neel state with Ising order.…”

Section: Concurrence and Magnetic Ordermentioning

confidence: 95%

Entanglement in many-body systems

Amico¹,

et al. 2008

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The recent interest in aspects common to quantum information and condensed matter has prompted a flory of activity at the border of these disciplines that were far distant untill few years ago. Numerous interesting questions have been addressed so far. Here we review an important part of this field, the properties of the entanglement in many-body systems. We discuss the zero and finite temperature properties of entanglement in interacting spin, fermion and boson model systems. Both bipartite and multipartite entanglement will be considered. In equilibrium we show how entanglement is tightly connected to the characteristics of the phase diagram. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. Out of equilibrium we discuss how to generate and manipulate entangled states by means of many-body Hamiltonians.

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Section: Concurrence and Magnetic Ordermentioning

confidence: 95%

Entanglement in many-body systems

Amico¹,

et al. 2008

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“…The anisotropy in our case originates from the extra Ising interaction. In terms of entanglement, few studies have been developed with this model [12,13]. Moreover, our goal is not simply to analyze how entanglement may depend on the described anisotropy, but we aim to analyze how it is affected by the interplay between this interaction and disorder.…”

Section: The Model and The Measurement Of Entanglementmentioning

confidence: 99%

Effects of the interplay between interaction and disorder in bipartite entanglement

Santos

Rigolin

2005

Phys. Rev. A

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We use a disordered antiferromagnetic spin-1 / 2 chain with anisotropic exchange coupling to model an array of interacting qubits. All qubits have the same level spacing, except two, which are called the defects of the chain. The level spacings of the defects are equal and much larger than all the others. We investigate how the entanglement between the two defects depends on the anisotropy of the system. When the anisotropy coupling is much larger than the energy difference between a defect and an ordinary qubit, the two defects become strongly entangled. Small anisotropies, on the contrary, may decrease the entanglement, which is, in this case, also much affected by the number of excitations. The analysis is made for nearest-neighbor and next-nearestneighbor defects. The decrease in the entanglement for nearest neighbor defects is not very significant, especially in large chains.

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“…The anisotropy in our case originates from the extra Ising interaction. In terms of entanglement, few studies have been developed with this model [11,12], though this is the model that best describes some proposals of quantum computers [6].…”

Section: The Modelmentioning

confidence: 99%