Loading...

Entanglement entropy in long-range harmonic oscillators

Ghasemi Nezhadhaghighi, M ; Sharif University of Technology | 2012

35 Viewed
  1. Type of Document: Article
  2. DOI: 10.1209/0295-5075/100/60011
  3. Publisher: 2012
  4. Abstract:
  5. We study the Von Neumann and Renyi 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 S = ceff/3 log l. Although the entanglement entropy of LRHOs 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
  6. Keywords:
  8. Source: EPL ; Volume 100, Issue 6 , 2012 ; 02955075 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1209/0295-5075/100/60011/meta;jsessionid=0260878998386CC0895CA560450A969F.c2.iopscience.cld.iop.org