### Séminaire de groupe

Entanglement over the rainbow |

German Sierra |

Institute of Theoretical Physics UAM-CSIC, Madrid |

jeudi 01 octobre 2015 , 10h25 |

Salle de séminaire du groupe de Physique Statistique |

The entanglement entropy of the ground states of local Hamiltonians are expected to satisfy an area law. However, in critical systems in 1 dimensions, or in systems with a Fermi surface, the are law is violated logarithmically. In this talk we shall present an inhomogenous Hamiltonian whose ground state has an entanglement entropy that follows a volumen law. In the limit of strong inhomogeneity the ground state is a valence bond state with the shape of a rainbow, while in the weak coupling limit the ground state it is a thermofield state whose temperature is proportional to the inhomogeneity parameter. The latter result suggests possible connections of this model with black hole paradoxes. |