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Holographic Entanglement Entropy Of A 1 + 1 Dimensional P-Wave Superconductor, Sumit R. Das, Mitsutoshi Fujita, Bom Soo Kim
Holographic Entanglement Entropy Of A 1 + 1 Dimensional P-Wave Superconductor, Sumit R. Das, Mitsutoshi Fujita, Bom Soo Kim
Physics and Astronomy Faculty Publications
We examine the behavior of entanglement entropy S A EE of a subsystem A in a fully backreacted holographic model of a 1 + 1 dimensional p wave superconductor across the phase transition. For a given temperature, the system goes to a superconducting phase beyond a critical value of the charge density. The entanglement entropy, considered as a function of the charge density at a given temperature, has a cusp at the critical point. In addition, we find that there are three different behaviors in the condensed phase, depending on the subsystem size. For a subsystem size l smaller than …
Entanglement Entropy With Background Gauge Fields, Bom Soo Kim
Entanglement Entropy With Background Gauge Fields, Bom Soo Kim
Physics and Astronomy Faculty Publications
We study the entanglement entropy, the Rényi entropy, and the mutual (Rényi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859. Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist …