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arXiv · 1511.03281

Constructions of Dicke states in high spin multi-particle systems

Wan-Fang Liu·Zheng-Da Hu
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Abstract

We study the constructions of Dicke states of identical particles of spin-$1$, $3/2$ and $2$ in the number representation with given particle number $N$ and magnetic quantum number $M$. The complete bases and corresponding coefficients in the Dicke states are given, in terms of which the Dicke states are explicitly expressed in the number representation. As a byproduct, a rule of how to construct all the anti-symmetric states in these high spin systems is given. Finally, by employing the negativity as the entanglement measure, we explore the entanglement properties for spin-$1$ cases including certain pure states of two particles and many-particle Dicke states.

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Wan-Fang Liu, Zheng-Da Hu. 2015-11-08. Constructions of Dicke states in high spin multi-particle systems. https://arxiv.org/abs/1511.03281

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