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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina

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IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765

CiteScore 2016: 0.82

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Source Normalized Impact per Paper (SNIP) 2015: 1.142

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Volume 7, Issue 4 (Dec 2009)


A hierarchy of Hamilton operators and entanglement

Willi-Hans Steeb / Yorick Hardy
Published Online: 2009-07-21 | DOI: https://doi.org/10.2478/s11534-009-0075-z


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.

PACS: 03.65.Ud; 03.67Bg; 31.15xh

Keywords: entanglement; energy level crossing; eigenvalue problem

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About the article

Published Online: 2009-07-21

Published in Print: 2009-12-01

Citation Information: Open Physics, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-009-0075-z.

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© 2009 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Willi-Hans Steeb
Physica Scripta, 2010, Volume 81, Number 2, Page 025012

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