Quantum Simulation of Black Holes in a dc-SQUID Array

Abstract

We propose quantum simulations of 1+1D radial sections of different black hole spacetimes (Schwarzschild, Reissner-Nordstrøm, Kerr and Kerr-Newman), by means of a dc-SQUID array embedded on an open transmission line. This is achieved by reproducing the effective speed of light in the 1+1D sections of the spacetime with the propagation speed of the electromagnetic field in the simulator, which can be modulated by an external magnetic flux. We show that the generation of event horizons -and therefore Hawking radiation-in the simulator could be achieved for non-rotating black holes, although we discuss limitations related to fluctuations of the quantum phase. In the case of rotating black holes, it seems that the simulation of ergospheres is beyond reach.