Wednesday weekly meeting

Wednesday 18 May 2022, 11:00 → 12:00 Asia/Tehran

Gholamhossein Haghighat (IPM)

General weekly meeting of the school of particles and accelerators

Meeting room link: https://meet.google.com/zmx-jjzc-gye

11:00 → 12:00 Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics

We consider the symmetry-resolved Rényi and entanglement entropies for two-dimensional conformal field theories on a circle at nonzero temperature. We assume a unique ground state with a nonzero mass gap induced by the system’s finite size and then calculate the leading corrections to the contributions of individual charge sectors in a low-temperature expansion. Besides the size of the mass gap and the degeneracy of the first excited state, these universal corrections depend only on the four-point correlation function of the primary fields. We also obtain thermal corrections to the full counting statistics of the ground state and find that the fluctuations of probabilities scale as exp {−2π∆β/L}, where ∆ is the scaling dimension of the lowest weight states. For example, we explicitly evaluate the thermal corrections to the symmetry-resolved entanglement entropy and FCS for the spinless fermions.

Speaker: Dr Mostafa Ghasemi (School of particles and accelerators, IPM)

ghasemi.pdf