One-dimensional sections of exotic spacetimes with superconducting circuits

Abstract

We introduce analog quantum simulations of 1+1 dimensional sections of exotic 3+1 dimensional spacetimes, such as Alcubierre warp-drive spacetime, Gödel 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.

5 pages, 3 figures. v2: minor changes, published version

References in corpus (6)

• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Quantum Effects in Small-Capacitance Single Josephson Junctions
• Entanglement of superconducting qubits via acceleration radiation
• Superluminal Physics with Superconducting Circuit Technology
• Quantum simulation of traversable wormhole spacetimes in a Bose-Einstein condensate

Cited by in corpus (9)

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• Quantum Simulation of Black Holes in a dc-SQUID Array
• Light propagation through nanophotonics wormholes
• Time travel without paradoxes: Ring resonator as a universal paradigm for looped quantum evolutions
• Analogue non-causal Null Curves and Chronology protection in a dc-SQUID Array
• Particle creation in left-handed metamaterial transmission lines
• Analogue simulation of quantum gravity black hole models in a dc-SQUID array