Mass-Independent Gravitationally Induced Entanglement

Fuente: arXiv
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Hauptverfasser: Braccini, Lorenzo, Serafini, Alessio, Bose, Sougato
Format: Preprint
Veröffentlicht: 2026
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author Braccini, Lorenzo
Serafini, Alessio
Bose, Sougato
author_facet Braccini, Lorenzo
Serafini, Alessio
Bose, Sougato
contents We analytically solve the entangling quantum dynamics of two interacting Stern-Gerlach Interferometers~(SGI). Each SGI exploits an operator-valued force applied by a qubit to create and recombine a non-Gaussian state of matter. The entangling phase between the two qubits generated by the leading-order gravitational interaction of the massive degrees of freedom is found to be mass-independent, both for unitary and open dynamics, irrespective of the temperature and squeezing of the initial states. Further, we show that the solution of the four interferometric paths reveals that the mere presence of the interaction does not allow for a perfect recombination of the centre of mass. This second-order effect, alongside higher-order interaction terms, can be used to bound the mass from above and below, thus restricting the experiment's regime to mesoscopic masses. By solving the open dynamics which includes diffusion and dephasing with initial squeezed thermal states, the bounds are tightened by the inclusion of realistic experimental noise. We discuss diamagnetic levitated masses with embedded NV-centres as a specific physical implementation.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19306
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Mass-Independent Gravitationally Induced Entanglement
Braccini, Lorenzo
Serafini, Alessio
Bose, Sougato
Quantum Physics
We analytically solve the entangling quantum dynamics of two interacting Stern-Gerlach Interferometers~(SGI). Each SGI exploits an operator-valued force applied by a qubit to create and recombine a non-Gaussian state of matter. The entangling phase between the two qubits generated by the leading-order gravitational interaction of the massive degrees of freedom is found to be mass-independent, both for unitary and open dynamics, irrespective of the temperature and squeezing of the initial states. Further, we show that the solution of the four interferometric paths reveals that the mere presence of the interaction does not allow for a perfect recombination of the centre of mass. This second-order effect, alongside higher-order interaction terms, can be used to bound the mass from above and below, thus restricting the experiment's regime to mesoscopic masses. By solving the open dynamics which includes diffusion and dephasing with initial squeezed thermal states, the bounds are tightened by the inclusion of realistic experimental noise. We discuss diamagnetic levitated masses with embedded NV-centres as a specific physical implementation.
title Mass-Independent Gravitationally Induced Entanglement
topic Quantum Physics
url https://arxiv.org/abs/2602.19306