Theoretical Physics Colloquium
Entanglement Entropy of a Random Pure State
by Prof. Satya Majumdar (Univ. of Paris)
Tuesday, February 14, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG69 )
at Colaba Campus ( AG69 )
Description |
I will discuss the concept of entanglement entropy of a pure state in a bipartite system. When the pure state is chosen at random, the associated entanglement entropy also becomes random. Using a Coulomb gas method valid for large systems, we compute analytically the full probability distribution of the entanglement entropy. Three different regimes are identified in the entropy distribution, which correspond to two phase transitions in the associated Coulomb gas. The two critical points correspond to sudden changes in the shape of the Coulomb charge density. One of the consequences of these results is that the entropy of a random pure state is not really maximal, as often proclaimed in the literature based on the computation of only the average entropy. |
Material: |