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arxiv: quant-ph/0205025 · v2 · submitted 2002-05-06 · 🪐 quant-ph · cond-mat

Entanglement Properties of the Harmonic Chain

classification 🪐 quant-ph cond-mat
keywords entanglementpropertiesstateschainharmonicactsanalyticallycharacterized
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We study the entanglement properties of a closed chain of harmonic oscillators that are coupled via a translationally invariant Hamiltonian, where the coupling acts only on the position operators. We consider the ground state and thermal states of this system, which are Gaussian states. The entanglement properties of these states can be completely characterized analytically when one uses the logarithmic negativity as a measure of entanglement.

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