Abstract
We consider a hierarchy of Hamilton operators Ĥ N in finite dimensional Hilbert spaces \( \mathbb{C}^{2^N } \). We show that the eigenstates of Ĥ N are fully entangled for N even. We also calculate the unitary operator U N (t) = exp(—Ĥ N t/ħ) for the time evolution and show that unentangled states can be transformed into entangled states using this operator. We also investigate energy level crossing for this hierarchy of Hamilton operators.
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Steeb, WH., Hardy, Y. A hierarchy of Hamilton operators and entanglement. centr.eur.j.phys. 7, 854–859 (2009). https://doi.org/10.2478/s11534-009-0075-z
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DOI: https://doi.org/10.2478/s11534-009-0075-z