Erik Tonni "On entanglement hamiltonians in one-dimensional quantum systems"

Thursday 13 Feb 2020, 15:00 → 16:00 Europe/Rome

248 (Ed. C)

The reduced density matrix of a spatial subsystem can be written as the exponential of the entanglement hamiltonian, hence this operator contains a lot of information about the entanglement of the spatial bipartition. We discuss examples of entanglement hamiltonians in 2D CFT both in equilibrium and after a global quantum quench. For a free Dirac fermion and a free massless scalar on the line and in their ground states, we show how the CFT expression of the entanglement hamiltonian of an interval is obtained through the continuum limit of the corresponding lattice results. In a harmonic chain and in a chain of free fermions, we discuss numerical studies for the temporal evolution of the entanglement hamiltonians, of the entanglement spectra and of the contours for the entanglement entropy of an interval after a global quench. The time evolution of entanglement spectra after global quenches in the Ising chain is also discussed.