One-dimensional sections of exotic spacetimes with superconducting circuits

TL;DR

This paper proposes using superconducting circuits to simulate 1+1 dimensional slices of exotic 3+1 dimensional spacetimes, enabling experimental exploration of phenomena like warp drives and rotating black holes.

Contribution

It introduces a novel method to emulate exotic spacetime geometries using SQUID arrays in superconducting transmission lines for quantum simulation.

Findings

Identified optimal parameters for experimental implementation.

Demonstrated how magnetic flux profiles can mimic light propagation in exotic spacetimes.

Outlined technical constraints for the simulation setup.

Abstract

We introduce analog quantum simulations of 1+1 dimensional sections of exotic 3+1 dimensional spacetimes, such as Alcubierre warp-drive spacetime, G\"{o}del rotating universe and Kerr highly-rotating black hole metric. Suitable magnetic flux profiles along a SQUID array embedded in a superconducting transmission line allow to generate an effective spatiotemporal dependence in the speed of light, which is able to mimic the corresponding light propagation in a dimensionally-reduced exotic spacetime. In each case, we discuss the technical constraints and find the optimal region of parameters for the experimental implementation.