Quantum simulation of traversable wormhole spacetimes in a Bose-Einstein condensate

Abstract

In this work we propose a recipe for the quantum simulation of traversable wormhole spacetimes in a Bose-Einstein condensate, both in $1+1D$ and $3+1D$. While in the former case it is enough to modulate the speed of sound along the condensate, in the latter case we need to choose particular coordinates, namely generalized Gullstrand-Painlevé coordinates. For weakly interacting condensates, in both cases we present the spatial dependence of the external magnetic field which is needed for the simulation, and we analyze under which conditions the simulation is possible with the experimental state-of-the-art.

arXiv comment9 pages, 5 figures

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Cited by in corpus (6)

• On the possibility of wormhole formation in the galactic halo due to dark matter Bose-Einstein condensates
• One-dimensional sections of exotic spacetimes with superconducting circuits
• Quantum Simulation of Black Holes in a dc-SQUID Array
• Light propagation through nanophotonics wormholes
• Analogue non-causal Null Curves and Chronology protection in a dc-SQUID Array
• Entangling superconducting qubits through an analogue wormhole