Speaker
Roger Melko
Description
he entanglement entropy of a quantum critical system
receives a logarithmic contribution when the entangling
boundary contains a sharp corner. Numerical calculations
indicate that for the Wilson-Fisher fixed point in 2+1
dimensions, the coefficient of this logarithm is universal and
contains low-energy information, scaling for example with the
number of vector components of the field theory. Recently,
these numerical results have been confirmed analytically,
revealing a relationship between the corner coefficient and a
central charge defined from the stress tensor two-point
function. The combination of analytical understanding and
easy numerical accessibility promises to make the corner
entanglement an important theoretical tool, providing a new
window on universality for free and interacting systems alike.
