Holographic local quench at finite chemical potential
Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, Gubkin Str. 8, 119991, Moscow, Russia
Accepted: 13 November 2021
Published online: 24 November 2021
We propose a charged falling particle in an AdS space as a holographic model of local charged quench generalizing the model of arXiv:1302.5703. The quench is followed by inhomogeneous time-dependent distribution of chemical potential and charge. We derive the formulae describing the evolution of the entanglement entropy. At some characteristic time after the quench, we find a sharp dip in the entanglement entropy. This effect is universal and independent of the system dimension. In the finite temperature generalization of this model, we find that multiple dips and ramps appear during the evolution.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021