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Quantum Tremor of Parallel Worlds: Gravity on a Laboratory Table

Original: "Quantum gravitational deflection of parallel matter wave beams"
· Soham Sen, Vlatko Vedral
arXiv:2605.11035v1 · 2026-05-11 · CC BY 4.0 · ⏱ 3 min · General Relativity HEP Theory
Scientists have proposed a way to catch gravitational whispers in the lab by tracking the quantum trembling of trajectories of two parallel atomic lasers created from Bose–Einstein condensates.
Abstract

Two parallel light rays do not gravitationally attract each other. The authors replaced light with matter waves—atomic lasers based on Bose-Einstein condensates (ultracold clouds of atoms). In such a system, in addition to the classical deflection, a tidal effect arises, caused by quantum gravity. It leads to unavoidable noise in the distance between the rays—as if space itself slightly “ripples”. Interestingly, this allows proposing a tabletop experiment to detect quantum fluctuations of gravity, which remain beyond the scope of ordinary physics.

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Two parallel streams of atoms, released from Bose condensates, begin their journey in free fall. In the classical picture, their separation remains unchanged — like two skiers gliding down a perfectly smooth slope. But if spacetime is not frozen snow, but a living, rippling membrane, then every tremble of it is transmitted to matter. Atoms feel microscopic jolts from quantum fluctuations, and the trajectories begin to diverge, ever so slightly. This is not instrument error, but a direct manifestation of the quantum-field nature of gravity.

Classically, two parallel light beams do not attract each other or change their separation — their trajectories are fixed. For atomic beams with non-zero mass and quantum gravity, the picture is different: the exchange of virtual gravitational waves — gravitons — generates an irreducible noise in geodesic separation.

The idea goes back to a long-standing question by Richard Feynman: can gravity exist in a superposition? Today we are approaching the answer using Bose–Einstein condensates — ultracold clouds of atoms behaving as a single quantum wave. In the proposed experiment, two such condensates, separated by a microscopic gap, simultaneously emit atomic lasers. Unlike photon interferometry, where trajectories are null, massive atoms follow timelike geodesics sensitive to spacetime curvature. But the most astonishing thing is that even in the absence of classical sources of gravity, a quantum jitter emerges.

Calculations by a group of theorists show that the standard deviation Δx of the beam separation grows with time τ as τ² and depends on the number of particles N₀ in the condensate. The key equation combines the quantum uncertainty of geometry with macroscopic system parameters. For realistic N₀ ≈ 10⁶, atom mass around 10⁻²⁵ kg, and flight time of 0.1–1 second, the deviation is 10⁻²⁰–10⁻¹⁸ meters — a thousand times smaller than a proton, but no longer beyond the measurable. Remarkably, the signal is robust to theory details: it arises even in the simplest linearized quantum gravity, making it a reliable candidate for first contact with quantum spacetime. The gravitational interaction here exhibits a 'tidal' character: at small gaps, the effect sharply intensifies, as if two clouds of atoms were tossing invisible gravitons back and forth, creating a quantum-entangled dance of trajectories.

Increasing the number of atoms to 10⁹ and extending free fall to tens of seconds on satellites can boost the signal to a level confidently detectable by atomic interferometers. This is about turning a laboratory table into a detector of quantum properties of spacetime.

Confirmation of this prediction would be revolutionary. It would mean that vacuum fluctuations of the gravitational field are real and leave a trace in the motion of quantum objects. Unlike experiments that generate entanglement via gravity, here it's not spin state that's measured, but coordinate trembling — an independent and direct test of the quantum nature of spacetime. Such an experiment weaves quantum mechanics and general relativity together not on a speculative level, but in a real setup, continuing the line started by the pioneering work of Bryce DeWitt on quantum field theory in curved space. The prospect is the creation of quantum gravity sensors capable of picking up not only waves from neutron stars, but also the whisper of quantum foam that our Universe is woven from.

🎯 Photon lasers are indifferent to each other: their light trajectories in spacetime are rigid, like taut strings. Meanwhile, atomic lasers, crawling at a snail's pace, have time to feel the quantum tremor of geometry. Where light passes fleetingly, massive atoms linger — and spacetime manages to whisper a few words to them via virtual gravitons, causing trajectories to swerve ever so slightly.

\Delta x(\tau) \sim \frac{4\sqrt{2} N_0 G m \tau^2}{d^2} \left(\frac{m \omega d^2}{2\hbar}\right)^{3/2} e^{-\frac{m\omega d^2}{4\hbar}}
Quantum-gravitational uncertainty in geodesic beam separation grows quadratically with free-fall time and depends exponentially on the distance between condensates.
Scientists
Erwin SchrödingerHugh Everett IIINiels BohrPascual JordanWerner HeisenbergStephen Hawking
Tags
Bose-Einstein condensate gravitational waves spacetime curvature quantum entanglement Quantum Field quantum measurement superposition wave-particle duality gravity
Laws
Schrödinger equationHeisenberg uncertainty principleHawking radiationNoether's theoremEinstein field equationsPlanck–Einstein relation
Original: arXiv:2605.11035v1 · CC BY 4.0 · bridge42worlds