Generating Entanglement by Quantum Resetting

Manas Kulkarni, Satya N. Majumdar

Published 2023-07-14Version 1

We provide a general framework to compute the von Neumann entanglement entropy of a subsystem of a quantum system subject to stochastic resetting to its initial state with rate $r$. Using this framework we compute exactly the entanglement entropy of a single spin in a two-spin system. This system consists of a pair of ferromagnetically coupled spins in the presence of a transverse magnetic field and subjected to stochastic resetting to the $\mid \downarrow\downarrow \rangle$ state with rate $r$. We show that resetting drives the system to a non-equilibrium steady state where the von Neumann entropy exhibits rich behaviour as a function of the resetting rate and the interaction strength. In particular, even in the noninteracting limit, a small amount of resetting drives the system to a maximally entangled state. We also calculate analytically the temporal growth of the von Neumann entropy. Our results show that quantum resetting provides a simple and effective mechanism to enhance entanglement between two parts of a quantum system.