phenomenon

gravitational entanglement

Gravity can entangle quantum systems, linking particles without direct interaction.
59 related articles · 1 formulas

Description

Gravitational entanglement is a hypothetical phenomenon where the gravitational field itself can create quantum entanglement between two or more particles, even if they never directly interact through any other force. In standard quantum mechanics, entanglement typically arises from direct interactions like photon exchange or contact forces. Gravity, however, is fundamentally different: it is a manifestation of spacetime curvature, and quantum gravity theories suggest that this curvature should have quantum properties. If gravity is indeed quantum, then two masses separated in space should become entangled purely through their gravitational influence, a signature that would prove gravity is not a classical field but a quantum one.

History

The concept was formalized in a 2017 proposal by Sougato Bose and, independently, by Chiara Marletto and Vlatko Vedral, who suggested tabletop experiments to test the quantum nature of gravity through entanglement generation.

How it works

The idea relies on the principle that quantum information is conserved. If a massive object passes through a superposition of two locations, its gravitational field must also be in a superposition. When another particle interacts with this field, it becomes correlated with the object's position, creating entanglement. In a typical proposed experiment, two masses are each placed in a superposition of two positions. If gravity is quantum, the gravitational interaction between them causes their states to become entangled, measurable as correlations in their final positions. If gravity were classical, no such entanglement would arise, as classical fields cannot carry quantum information.

In practice

While no practical technology exists yet, the concept underpins proposed experiments to test quantum gravity in laboratory settings, potentially leading to new quantum sensing or computing architectures that exploit gravitational interactions.

Fun fact

The proposed experiments to detect gravitational entanglement are so sensitive that they require shielding from cosmic rays and seismic vibrations, as even the slightest disturbance would mimic or mask the effect.

Concept graph →

Formulas

$$\alpha_g = \frac{G m_1 m_2}{\hbar c}$$
Dimensionless parameter for gravitational interaction strength.
What is in the formula
m_1variablemass of first object — mass kilogram
m_2variablemass of second object — mass kilogram
GconstantConstant of universal gravitation, determining the strength of gravitational force between masses. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\hbarconstantReduced Planck constant, the quantum of angular momentum. — reduced planck constant = 1.054571817e-34 joule second
cconstantSpeed of light in vacuum, the maximum speed at which information can travel. — speed of light = 299792458 metre per second
α_g\equivg_nm_φm_{\rmpbh}/(ħc)\approx0.75(\frac{m_φ}{10^{-10}~{эв}})(\frac{m_{\rmpbh}}{m_\odot}) · 2607.12485

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