Entanglement and quantum transport in integrable systems

Understand

Understanding the entanglement structure of out-of-equilibrium many-body systems is a challenging yet revealing task.

• Here we investigate the entanglement dynamics after a quench from a piecewise homogeneous initial state in integrable systems.
• This is the prototypical setup for studying quantum transport, and it consists in the sudden junction of two macroscopically different and homogeneous states.
• By exploiting the recently developed integrable hydrodynamic approach and the quasiparticle picture for the entanglement dynamics, we conjecture a formula for the entanglement production rate after joining two semi-infinite reservoirs, as well as the steady-state entanglement entropy of a finite subregion.