# Double Local Quenches in 2D CFTs and Gravitational Force

## TL;DR

This paper investigates the dynamics of double local quenches in 2D CFTs, analyzing energy and entanglement, revealing interactions akin to gravitational forces in holographic duals.

## Contribution

It provides a detailed analysis of double local quenches in holographic and free fermion CFTs, highlighting non-trivial interactions and gravitational interpretations.

## Key findings

- Oscillating behavior in splitting quenches
- Negative differences in energy and entanglement for double quenches
- Interactions interpreted as gravitational forces in dual gravity theories

## Abstract

In this work we extensively study the dynamics of excited states created by instantaneous local quenches at two different points, i.e., double local quenches. We focus on setups in two dimensional holographic and free Dirac fermion CFTs. We calculate the energy stress tensor and entanglement entropy for double joining and splitting local quenches. In the splitting local quenches we find an interesting oscillating behaviors. Finally, we study the energy stress tensor in double operator local quenches. In all these examples, we find that, in general, there are non-trivial interactions between the two local quenches. Especially, in holographic CFTs, the differences of the above quantities between the double local quench and the simple sum of two local quenches tend to be negative. We interpret this behavior as merely due to gravitational force in their gravity duals.