Entanglement properties of the harmonic chain
Katrien AudenaertQOLS, Blackett Laboratory, Imperial College of Science, Technology and Medicine, London SW7 2BW, United KingdomJens EisertQOLS, Blackett Laboratory, Imperial College of Science, Technology and Medicine, London SW7 2BW, United KingdomMartin B. PlenioQOLS, Blackett Laboratory, Imperial College of Science, Technology and Medicine, London SW7 2BW, United KingdomReinhard F. WernerQOLS, Blackett Laboratory, Imperial College of Science, Technology and Medicine, London SW7 2BW, United Kingdom
2002en
ABI
Abstract
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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