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2009 | 7 | 4 | 854-859
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A hierarchy of Hamilton operators and entanglement

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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
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.
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa,
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa
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