Starts 22 Mar 2011 11:00

Ends 22 Mar 2011 20:00

Central European Time

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Joint ICTP/SISSA Statistical Physics seminar: "Unusual singular behaviour of the entanglement entropy in one dimension"

Starts 22 Mar 2011 11:00

Ends 22 Mar 2011 20:00

Central European Time

SISSA, Santorio Bldg., Room 129

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.
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- F. Franchini, A. R. Its, V. E. Korepin; J. Phys. A: Math. Theor. 41:025302 (2008)
- F. Franchini, E. Ercolessi, S. Evangelisti, F. Ravanini; Phys. Rev. B 83:012402 (2011)

- M. Poropat