Entanglement and Quantum Phase Transition Revisited

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dc.creatorYang, Min-Fong
dc.date2004-07-28
dc.date2004-07-30
dc.date.accessioned2026-07-07T06:26:25Z
dc.date.available2026-07-07T06:26:25Z
dc.descriptionWe show that, for an exactly solvable quantum spin model, a discontinuity in the first derivative of the ground state concurrence appears in the absence of quantum phase transition. It is opposed to the popular belief that the non-analyticity property of entanglement (ground state concurrence) can be used to determine quantum phase transitions. We further point out that the analyticity property of the ground state concurrence in general can be more intricate than that of the ground state energy. Thus there is no one-to-one correspondence between quantum phase transitions and the non-analyticity property of the concurrence. Moreover, we show that the von Neumann entropy, as another measure of entanglement, can not reveal quantum phase transition in the present model. Therefore, in order to link with quantum phase transitions, some other measures of entanglement are needed.
dc.descriptionRevTeX 4, 4 pages, 1 EPS figures. some modifications in the text. Submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0407226
dc.identifierhttp://arxiv.org/abs/quant-ph/0407226
dc.identifierPhys. Rev. A 71, 030302(R) (2005)
dc.identifierdoi:10.1103/PhysRevA.71.030302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97100
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleEntanglement and Quantum Phase Transition Revisited
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