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We show that optomechanical systems can test the Schr\"{o}dinger-Newton equation of gravitational quantum mechanics due to Yang et al. This equation is motivated by semiclassical gravity, a widely used theory of interacting gravitational…

General Relativity and Quantum Cosmology · Physics 2016-06-29 C. C. Gan , C. M. Savage , S. Z. Scully

The Schr\"odinger-Newton equation has been proposed as an experimentally testable alternative to quantum gravity, accessible at low energies. It contains self-gravitational terms, which slightly modify the quantum dynamics. Here we show…

Quantum Physics · Physics 2016-05-11 André Großardt , James Bateman , Hendrik Ulbricht , Angelo Bassi

The Schr\"odinger-Newton (SN) equation introduces a nonlinear self-gravitational term to the standard Schr\"odinger equation, offering a paradigmatic model for semiclassical gravity. However, the small deviations it predicts from standard…

Classical gravity theory predicts a state-dependent gravitational potential for a quantum test mass, leading to nonlinear Schrodinger-Newton (SN) state evolution that contrasts with quantum gravity. Testing the effect of SN evolution can…

Quantum Physics · Physics 2026-01-08 Wenjie Zhong , Yubao Liu , Yiqiu Ma

The semi-classical gravity sourced by the quantum expectation value of the matter's energy-momentum tensor will change the evolution of the quantum state of matter. This effect can be described by the Schroedinger-Newton (SN) equation,…

Quantum Physics · Physics 2023-02-07 Yubao Liu , Haixing Miao , Yanbei Chen , Yiqiu Ma

We apply the many-particle Schr\"{o}dinger-Newton equation, which describes the co-evolution of an many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-01 Huan Yang , Haixing Miao , Da-Shin Lee , Bassam Helou , Yanbei Chen

The evolution of quantum states influenced by semiclassical gravity is distinct from that in quantum gravity theory due to the presence of a state-dependent gravitational potential. This state-dependent potential introduces nonlinearity…

Quantum Physics · Physics 2025-03-14 Yubao Liu , Wenjie Zhong , Yanbei Chen , Yiqiu Ma

The necessity of quantising the gravitational field is still subject to an open debate. In this paper we compare the approach of quantum gravity, with that of a fundamentally semi-classical theory of gravity, in the weak-field…

Quantum Physics · Physics 2016-08-08 Mohammad Bahrami , André Großardt , Sandro Donadi , Angelo Bassi

We quote a definitive simple proof that neither classical stochastic dynamics nor quantum dynamics can be nonlinear if we stick to their standard statistical interpretations. A recently proposed optomechanical test of gravity's classicality…

Quantum Physics · Physics 2025-07-22 Lajos Diósi

We present a detailed derivation of a model to study effects of self-gravitation from semi-classical gravity, described by the Schr\"odinger-Newton equation, employing spin superposition states in inhomogeneous magnetic fields, as proposed…

General Relativity and Quantum Cosmology · Physics 2021-12-16 André Großardt

We derive the effect of the Schr\"odinger--Newton equation, which can be considered as a non-relativistic limit of classical gravity, for a composite quantum system in the regime of high energies. Such meson-antimeson systems exhibit very…

Quantum Physics · Physics 2015-03-27 André Großardt , Beatrix C. Hiesmayr

The nonlinear Schr\"odinger-Newton equation, a prospective semiclassical alternative to a quantized theory of gravity, predicts a gravitational self-force between the two trajectories corresponding to the two z-spin eigenvalues for a…

General Relativity and Quantum Cosmology · Physics 2025-01-15 André Großardt

Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Hollis Williams

It has been suggested that the nonlinear Schr\"odinger-Newton equation might approximate the coupling of quantum mechanics with gravitation, particularly in the context of the M{\o}ller-Rosenfeld semiclassical theory. Numerical results for…

Quantum Physics · Physics 2011-09-28 J. R. van Meter

A novel semiclassical gravity model proposed by Oppenheim et al., that consistently describes interactions between quantum systems and a classical gravitational field, has recently attracted considerable attention. However, the limitations…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Tomoya Hirotani , Akira Matsumura

An interesting idea, dating back to Feynman, argues that quantum mechanics may break down for large masses if one entertains the possibility that gravity can be "classical", thereby leading to predictions different from conventional…

Quantum Physics · Physics 2023-11-06 Jordan Wilson-Gerow , Yanbei Chen , P. C. E. Stamp

Here we discuss an influence of an external weak gravitational field on the gravitational self-decoherence effect with help of the stochastic extension of regularized Shr\"odinger-Newton equation in a curved background. We derive the master…

High Energy Physics - Phenomenology · Physics 2025-03-10 V. P. Stefanov , D. S. Mogilevtsev , I. Y. Rybak , A. Stefanov

In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the…

High Energy Physics - Theory · Physics 2017-07-18 Qin Zhao , Mir Faizal , Zaid Zaz

The Schr\"odinger-Newton equation has gained attention in the recent past as a nonlinear modification of the Schr\"odinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical…

Quantum Physics · Physics 2016-08-02 André Großardt , James Bateman , Hendrik Ulbricht , Angelo Bassi

We propose a quantum mechanical method of constraining non-Newtonian gravity at the nanometer range. In this method, a hybrid electro-optomechanical system is employed. Applying a strong driving field, we can obtain normal mode splitting of…

Quantum Physics · Physics 2021-07-27 Lei Chen , Jian Liu , Ka-di Zhu
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