Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

Understand

We study the evolution of the holographic entanglement entropy (HEE) and the holographic complexity (HC) after a thermal quench in $1+1$ dimensional boundary CFTs dual to massive BTZ black holes.

• The study indicates how the graviton mass $m_g$, the charge $q$, and also the size of the boundary region $l$ determine the evolution of the HEE and HC.
• We find that for small $q$ and $l$, the evolutions of the HEE and the HC is a continuous function.
• When $q$ or $l$ is tuned larger, the discontinuity emerges, which could not observed in the neutral AdS$_3$ backgrounds.