Universality of Entropy Scaling in One-Dimensional Gap-less Models
Speaker:
Vladimir Korepin, C. N. Yang Institute for Theoretical Physics, Stony Brook University, Yang Institute for Theoretical Physics
Date and Time:
Wednesday, October 19, 2005 - 9:30am to 10:40am
Location:
Fields Institute, Room 230
Abstract:
Quantum models with unique ground state are considered. Von Neumann entropy of a part of the ground state [subsystem] is calculated. It shows the entanglement of this part with the rest of the ground state. For a large subsystem asymptotic behavior of the entropy can be related to the gap in the spectrum of the Hamiltonian. For gap-less models the entropy increases logarithmically, for gap-full models it saturates. Several different models will be considered: spin chains, Bose gas, Hubbard model.