On the partial trace over collective spin-degrees of freedom

Details On the partial trace over collective spin-degrees of freedom On the partial trace over collective spin-degrees of freedom

2008-07-24

arxiv.org/abs/0807.3944v2

Physics Letters A 373 (2009) 1233--1238

Physics

Quantum Physics

14 pages, 6 figures, minor typographical errors fixed

Scientific paper

10.1016/j.physleta.2009.02.002

We derive analytical properties for the degeneracy $\nu(N,j)$ occurring in
the decomposition $\bigoplus\limits_{j}^\frac{N}{2}\nu(N,j)\mathbb C^{2j+1}$ 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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