Universal Entanglement Dynamics following a Local Quench

Abstract

We study the time dependence of the entanglement between two quantum wires after suddenly connecting them via tunneling through an impurity. The result at large times is given by the well known formula $S(t)\approx \frac{1}{3}\ln t$. We show that the intermediate time regime can be described by a universal cross-over formula $S=F(t{T}_K)$, where $T_K$ is the crossover (Kondo) temperature: the function $F$ describes the dynamical "healing" of the system at large times. We discuss how to obtain analytic information about $F$ in the case of an integrable quantum impurity problem using the massless Form-Factors formalism for twist and boundary condition changing operators. Our results are confirmed by density matrix renormalization group calculations and exact free fermion numerics.

v3: minor changes

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Cited by in corpus (4)

• Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
• Time evolution of entanglement negativity across a defect
• Subsystem distance after a local operator quench
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench