Gravity Entangles Particles, and Mass Doesn't Matter ⚡ экспресс
An analytical solution is presented for the entangling quantum dynamics of two interacting Stern-Gerlach interferometers. Each interferometer uses an operator force applied by a qubit to create and recombine a non-Gaussian state of a massive particle. It is shown that the entanglement phase between the qubits, generated by the leading order gravitational interaction of massive degrees of freedom, is mass-independent – both in unitary and open dynamics, regardless of temperature and squeezing of the initial states. Furthermore, an analysis of four interferometric paths reveals that the mere presence of interaction prevents perfect center-of-mass recombination; this second-order effect, together with higher-order interaction terms, allows one to bound the mass from above and below, setting a mesoscopic regime for the experiment. The solution of open dynamics with diffusion and dephasing for initial squeezed thermal states tightens these bounds under realistic experimental noise. As a possible physical realization, diamagnetic levitating masses with embedded NV centers are discussed.
Heavy balls on a trampoline bend the fabric, and their dents intertwine paths. Similarly, gravity: two massive particles curve space and feel each other's influence. Scientists built a setup where particles, guided by quantum signals, travel along two paths at once. When they meet, they don't just collide—their gravitational interaction entangles their quantum states: the particles become a single entity, even if separated far apart. Surprisingly, the strength of this connection doesn't depend on mass. A dust speck, a virus crumb—the effect is unchanged. This contradicts the usual rule 'the heavier, the stronger the pull,' but here a balance of quantum and gravitational forces is at play.
Due to mutual attraction, the paths never converge perfectly, but this imprecision outlines the bounds of suitable masses: light particles won't notice each other, heavy ones will destroy the quantum effect. Real disturbances (thermal jitter, scattering) only narrow the corridor. A concrete embodiment: diamond dust grains levitated in a magnetic field. Diamond is carbon, and its vacancy defects act as quantum pushers.
🎯 Quantum objects never stand still: even in absolute vacuum and at zero temperature, they always tremble slightly. This jitter is a fundamental limit for instrument precision.