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arXiv · 0807.3944

On the partial trace over collective spin-degrees of freedom

Yamen Hamdouni
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Abstract

We derive analytical properties for the degeneracy $ν(N,j)$ occurring in the decomposition $\bigoplus\limits_{j}^\frac{N}{2}ν(N,j)\mathbb C^{2j+1}$ of the state space $\mathbb C^{2\otimes N}$. We also investigate the dynamics of two qubits coupled via Ising interactions to separate spin baths, and we study the thermodynamic limit.

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Yamen Hamdouni. 2008-07-31. On the partial trace over collective spin-degrees of freedom. https://doi.org/10.1016/j.physleta.2009.02.002

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