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This work is a numerical experiment of stochastic motion of conservative Hamiltonian system or weakly damped Brownian particles. The objective is to prove the existence of path probability and to compute its values. By observing a large…

Statistical Mechanics · Physics 2012-02-09 Lin Tongling , Pujos Cyril , Ou Congjie , Bi Wenping , Calvayrac Florent , Wang Qiuping A

We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Matteo Luca Ruggiero

Gravitationally induced entanglement has been proposed as a probe of the quantum nature of gravity. This work analyzes a system of two particles in harmonic traps interacting only through gravity, considering thermal and two-mode squeezed…

Quantum Physics · Physics 2026-01-01 Julia Tokarska , Andrzej Dragan

We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in…

High Energy Physics - Theory · Physics 2014-11-21 G. Krein , G. Menezes , N. F. Svaiter

A small quantum system within the gravitational field of a massive body will be entangled with the quantum degrees of freedom of the latter. Hence, the massive body acts as an environment, and it induces non-unitary dynamics, noise, and…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Dimitris Moustos , Charis Anastopoulos

We study the fluctuation-induced dissipative dynamics of the quantized center of mass motion of a polarizable dielectric particle trapped near a surface. The particle's center of mass is treated as an open quantum system coupled to the…

Quantum Physics · Physics 2020-03-18 Kanupriya Sinha , Yigit Subasi

In previous work we discussed the quantization of paths in spacetime. Building on these ideas we have developed a mathematically coherent theory addressing a number of open questions concerning Loop Quantum Gravity. Our approach develops a…

General Relativity and Quantum Cosmology · Physics 2019-02-07 James Moffat , Charles H. -T. Wang

We study the motion of an inertial particle in a fractional Gaussian random field. The motion of the particle is described by Newton's second law, where the force is proportional to the difference between a background fluid velocity and the…

Dynamical Systems · Mathematics 2012-03-20 Georg Schöchtel

We investigate the interaction of the gravitational field with a quantum particle. We derive the wave equation in the curved galilean spacetime from the very broad Quantum mechanical assumptions and from covariance under the Milne group.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaroslaw Wawrzycki

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

A scenario is outlined for quantum measurement, assuming that self-sustaining classicality is the consequence of an attractive gravitational self-interaction acting on massive bodies, and randomness arises already in the classical domain. A…

Quantum Physics · Physics 2007-05-23 Tamás Geszti

In this paper, an open quantum system theory for spinfoams is developed. This new formalism aims at deriving an effective Lindblad equation to compute the reduced dynamics of a quantum gravitational field. The system parameters are…

Quantum Physics · Physics 2021-05-26 Quentin Ansel

We present a minimal model for the quantum evolution of matter under the influence of classical gravity in the Newtonian limit. Based on a continuous measurement-feedback channel that acts simultaneously on all constituent masses of a given…

Quantum Physics · Physics 2018-12-10 Kiran E. Khosla , Stefan Nimmrichter

Several phenomenological approaches to quantum gravity predict the existence of a minimal measurable length and/or a maximum measurable momentum near the Planck scale. When embedded into the framework of quantum mechanics, such constraints…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Eissa Al-Nasrallah , Saurya Das , Fabrizio Illuminati , Luciano Petruzziello , Elias C. Vagenas

We propose a quantum imaging-inspired setup for measuring gravitational fields using an atom that emits a photon at one of two possible locations. The atom acquires a gravitationally induced quantum phase that it shares with the photon. By…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Marian Cepok , Dennis Rätzel , Claus Lämmerzahl

Time-continuous non-anticipating quantum processes of nondemolition measurements are introduced as the dynamical realizations of the causal quasi-measurements, which are described in this paper by the adapted operator-valued probability…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin

Covariant generalizations of well-known wave equations predict the existence of inertial-gravitational effects for a variety of quantum systems that range from Bose-Einstein condensates to particles in accelerators. Additional effects arise…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini

We use a quantum mechanical charged particle as a test particle which probes the dynamics of force-related fields it is subject to. We allow for geodesic motion and relations involving gravitation appear. Gravitation affects quantum…

General Physics · Physics 2019-05-02 Victor Atanasov

In this paper, we address a foundational challenge in quantum field theory on curved spacetime by developing a consistent framework within loop quantum gravity. We introduce a methodology for defining meaningful superpositions of quantum…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Gaoping Long , Cong Zhang

We use an alternative interpretation of quantum mechanics, based on the Bohmian trajectory approach, and show that the quantum effects can be included in the classical equation of motion via a conformal transformation on the background…

General Relativity and Quantum Cosmology · Physics 2019-11-20 G. Gregori , B. Reville , B. Larder
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