Entanglement negativity in a fermionic chain with dissipative defects: Exact results

Understand

We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss, which acts as a dissipative impurity.

• The chain is initially prepared in a generic Fermi sea.
• In the standard hydrodynamic limit of large subsystems and long times, with their ratio fixed, the negativity between two subsystems is described by a simple formula, which depends only on the effective absorption coefficient of the impurity.
• The negativity grows linearly at short times, then saturating to a volume-law scaling.