August 30, 2010 to September 24, 2010
Europe/Stockholm timezone

Unusual singular behavior of the entanglement entropy in one dimension

Sep 15, 2010, 1:30 PM
132:028 (Nordita)




Fabio Franchini (SISSA)


We study the bipartite entanglement entropy for one- dimensional systems. Its qualitative behavior is quite well understood: for gapped systems the entropy saturates to a finite value, while it diverges logarithmically as the logarithm of the correlation length as one approaches a critical, conformal point of phase transition. Using the example of two integrable models, we argue that close to non-conformal points the entropy shows a peculiar singular behavior, characteristic of an essential singularity. At these non-conformal points the model undergoes a discontinuous transition, with a level crossing in the ground state and a quadratic excitation spectrum. We propose the entropy as an efficient tool to determine the discontinuous or continuous nature of a phase transition also in more complicated models.
- F. Franchini, A. R. Its, B.-Q. Jin, V. E. Korepin; J. Phys. A: Math. Theor. 40 (2007) 8467-8478
- F. Franchini, A. R. Its, V. E. Korepin; J. Phys. A: Math. Theor. 41 (2008) 025302
- F. Franchini, E. Ercolessi, S. Evangelisti, F. Ravanini; arXiv:1008.3892

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