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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