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2009 | 7 | 4 | 854-859
Article title

A hierarchy of Hamilton operators and entanglement

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EN
Abstracts
EN
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.
Contributors
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa, steebwilli@gmail.com
author
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0075-z
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