Entanglement Conditions for Mixed SU(2) and SU(1, 1) Systems

We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1, 1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertain...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 47; no. 5; pp. 1432 - 1440
Main Authors Yan, Dong, Pu, Zhongsheng, Song, Lijun, Wang, Xiaoguang
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.05.2008
Springer Nature B.V
Subjects
Conjugation
Elementary Particles
Entanglement
Inequalities
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Reduction
Theoretical
Heisenberg uncertainty relations
Reduction
Schrödinger-Robertson indeterminacy relations
Entanglement conditions
Partial transposition
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Summary:We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1, 1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertainty relations for detecting entanglement. Furthermore, based on the complete reduction from SU(2) and SU(1, 1) systems to bosonic systems, we derive some entanglement conditions for two-mode systems. We also use the partial reduction to obtain some inequalities in the mixed SU(2) (or SU(1, 1)) and bosonic systems.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-007-9585-x