Volume 100, Number 6, December 2012
|Number of page(s)||5|
|Published online||08 January 2013|
Entanglement entropy in long-range harmonic oscillators
1 Department of Physics, Sharif University of Technology - Tehran, 11365-9161, Iran
2 SISSA and INFN, Sezione di Trieste - via Bonomea 265, 34136 Trieste, Italy, EU
3 Instituto de Física de São Carlos, Universidade de São Paulo - Caixa Postal 369, 13560-970 São Carlos, SP, Brazil
Received: 9 September 2012
Accepted: 4 December 2012
We study the Von Neumann and Rényi entanglement entropy of long-range harmonic oscillators (LRHO) by both theoretical and numerical means. We show that the entanglement entropy in massless harmonic oscillators increases logarithmically with the sub-system size as . Although the entanglement entropy of LRHO's shares some similarities with the entanglement entropy at conformal critical points we show that the Rényi entanglement entropy presents some deviations from the expected conformal behaviour. In the massive case we demonstrate that the behaviour of the entanglement entropy with respect to the correlation length is also logarithmic as the short-range case.
PACS: 05.30.-d – Quantum statistical mechanics / 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 05.20.-y – Classical statistical mechanics
© EPLA, 2012
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