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Journal of Jining University

Lie-algebraic Approach to Entanglement of Molecular Vibrations

Hairan Feng

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

In this paper we introduced Lie-algebraic approach to entanglement of stretch vibrations in symmetrical triatomic molecules and derived the linear entropy and the Von Neumann entropy.Then we discussed the dynamical properties of entanglement for initial states using the method.

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The dynamical entanglement of two stretching vibrations of triatomic molecules H2O{\mathrm{H}}_{2}\mathrm{O}H2​O and SO2\mathrm{S}{\mathrm{O}}_{2}SO2​ in an algebraic model is studied in terms of the reduced-density linear entropy with initial states that are, respectively, taken to be the product of Fock states and coherent states on each bond. It is shown that the entanglement of initial states with local-mode character is regular while that of states with normal-mode character is irregular. For initial coherent states with a small amplitude, the regularity of the entanglement with a long period appears in SO2\mathrm{S}{\mathrm{O}}_{2}SO2​ and ``classical'' beat phenomena of the entanglement happens in H2O{\mathrm{H}}_{2}\mathrm{O}H2​O, where the period of the beat is longer. Those long periods of the entanglement indicate that the entanglement sustains long enough so that quantum information process and quantum computation could be accomplished.