We present a study of entanglement in the case of the 1D extended anisotropic Heisenberg model. We investigate two quantum phase transitions (QPTs) within the previously found ergodicity phase diagram [E. Plekhanov, A. Avella, F. Mancini, Phys. Rev. B 74 (2006) 115120]. Our calculations are done by means of the numerically exact Lanczos method at T = 0, followed by a finite-size scaling. As a measure of entanglement we use the concurrence for two spins out of the system. We conclude from our studies that these QPTs are accompanied by a qualitative entanglement change. © 2007 Elsevier B.V. All rights reserved.

Entanglement in the 1D extended anisotropic Heisenberg model

PLEKHANOV, Evgeny;AVELLA, Adolfo;MANCINI, Ferdinando
2008

Abstract

We present a study of entanglement in the case of the 1D extended anisotropic Heisenberg model. We investigate two quantum phase transitions (QPTs) within the previously found ergodicity phase diagram [E. Plekhanov, A. Avella, F. Mancini, Phys. Rev. B 74 (2006) 115120]. Our calculations are done by means of the numerically exact Lanczos method at T = 0, followed by a finite-size scaling. As a measure of entanglement we use the concurrence for two spins out of the system. We conclude from our studies that these QPTs are accompanied by a qualitative entanglement change. © 2007 Elsevier B.V. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/1860747
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