Scrambling time for analogue black holes embedded in AdS space

Abstract We propose a gedanken experiment on realizing thermofield double state (TFD) by using analog black holes and provide an approach to test the scrambling time. Through this approach, we demonstrate clearly how shock wave changes TFD as time evolves. As whole system evolves forward in time, perturbation of space-time geometry will increase exponentially. Finally, it destroy entanglement between two states thermal field, mutual information them is reduced zero scale scrambling. The results show that for perturbations analogue embedded AdS space, closely related logarithm entropy hole. further theoretical argument which can be falsified experiments.