Quantum Correlations Through Spin Coherent States

We study the entanglement of formation and the quantum discord contained in even and odd multipartite [Formula: see text]-spin coherent states. The key element of this investigation is the fact that a single [Formula: see text]-spin coherent state is viewed as comprising [Formula: see text] qubit states. We compute the quantum correlations present in the n even and odd [Formula: see text]-spin coherent states by considering all possible bipartite splits of the multipartite system. We discuss the different bi-partition schemes of quantum systems and we examine in detail the conservation rules governing the distribution of quantum correlations between the different qubits of the multipartite system. Finally, we derive the explicit expressions of quantum correlations present in even and odd spin coherent states decomposed in four spin sub-systems. We also analyze the properties of monogamy and we show in particular that the entanglement of the formation and the quantum discord obey the relation of monogamy only for even multipartite [Formula: see text]-spin coherent states.

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Coherence and squeezing in Z3 -graded spin coherent states

Fortschritte der Physik ◽

10.1002/prop.201400012 ◽

2014 ◽

Vol 62 (8) ◽

pp. 619-625 ◽

Cited By ~ 2

Author(s):

W.S. Chung

Keyword(s):

Coherent States ◽

Spin Coherent States

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Nonclassicality of photon-modulated spin coherent states in the Holstein-Primakoff realization

Chinese Physics B ◽

10.1088/1674-1056/ac40f5 ◽

2021 ◽

Author(s):

Xiaoyan Zhang ◽

Jisuo Wang ◽

Lei Wang ◽

Xiangguo Meng ◽

Baolong Liang

Keyword(s):

Coherent States ◽

Wigner Distribution ◽

Hermite Polynomials ◽

Photon Number ◽

Spin Ladder ◽

Bernoulli Distribution ◽

Ladder Operators ◽

Spin Number ◽

Photon Number Distribution ◽

Spin Coherent States

Abstract Two new photon-modulated spin coherent states (SCSs) are introduced by operating the spin ladder operators J ± on the ordinary SCS in the Holstein-Primakoff realization and the nonclassicality is exhibited via their photon number distribution, second-order correlation function, photocount distribution and negativity of Wigner distribution. Analytical results show that the photocount distribution is a Bernoulli distribution and the Wigner functions are only associated with two-variable Hermite polynomials. Compared with the ordinary SCS, the photon-modulated SCSs exhibit more stronger nonclassicality in certain regions of the photon modulated number k and spin number j, which means that the nonclassicality can be enhanced by selecting suitable parameters.

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