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

## TL;DR

This paper proposes a method to simulate traversable wormhole spacetimes using Bose-Einstein condensates, enabling experimental exploration of exotic spacetime geometries in controlled laboratory settings.

## Contribution

It introduces a novel approach for quantum simulation of wormholes in BECs, detailing the required modulation of sound speed and external magnetic fields in different dimensions.

## Key findings

- Feasible modulation of sound speed in 1+1D BECs for wormhole simulation.
- Specific magnetic field configurations identified for 3+1D simulations.
- Analysis of experimental conditions for implementing the simulation.

## 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-Painlev\'e 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.