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We explore the time-dependent Casimir-Polder-like quantum gravitational interaction between a nonpointlike object and a gravitational Dirichlet boundary, i.e., the dynamical gravitational Casimir-Polder interaction, based on the theory of…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Yongshun Hu , Dan Wen

Quantum phase transitions occur at zero temperature, when the ground state of a Hamiltonian undergoes a qualitative change as a function of a control parameter. We consider a particularly interesting system with competing one-, two- and…

Quantum Physics · Physics 2010-03-05 Xinhua Peng , Jingfu Zhang , Jiangfeng Du , Dieter Suter

We report a theoretical study on the long-range additive and nonadditive potentials for a three-body hybrid atom-atom-ion system composed of one ground $S$ state Li atom, one excited $P$ state Li atom and one ground $S$ state Li$^+$ ion,…

Atomic Physics · Physics 2021-09-02 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

Quantum walks of interacting particles may display non-trivial features due to the interplay between the statistical nature and the many-body interactions associated to them. We analyze the quantum walk of interacting defects on top of an…

Quantum Gases · Physics 2020-06-24 Suman Mondal , Tapan Mishra

We construct a Hamiltonian for a quantum-mechanical model of nonrelativistic particles in three dimensions interacting via the creation and annihilation of a second type of nonrelativistic particles, which are bosons. The interaction…

Mathematical Physics · Physics 2020-01-08 Jonas Lampart

The quadrupole-quadrupole interaction between a pair of gravitationally polarizable objects induced by vacuum fluctuations of the quantum linearized gravitational field is first obtained with a relatively simple method, which is then used…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Puxun Wu , Jiawei Hu , Hongwei Yu

Recently we have discussed a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Per Berglund , Andrew Geraci , Tristan Hübsch , David Mattingly , Djordje Minic

In this work we obtain analytical expressions for the non-additivity effects in the dispersive interaction between two atoms and perfectly conducting surface of arbitrary shape in the non-retarded regime. We show that this three bodies…

Quantum Physics · Physics 2015-05-27 Reinaldo de Melo e Souza , W. J. M. Kort-Kamp , F. S. S. Rosa , C. Farina

We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized…

Atomic Physics · Physics 2007-05-23 J. P. D'Incao , S. C. Cheng , H. Suno , B. D. Esry

"Quasi-stationary" states are approximately time-independent out of equilibrium states which have been observed in a variety of systems of particles interacting by long-range interactions. We investigate here the conditions of their…

Statistical Mechanics · Physics 2010-12-03 Andrea Gabrielli , Michael Joyce , Bruno Marcos

In one spatial dimension, quantum systems with an attractive three-body contact interaction exhibit a scale anomaly. In this work, we examine the few-body sector for up to six particles. We study those systems with a self-consistent,…

Quantum Gases · Physics 2019-01-23 J. R. McKenney , J. E. Drut

We investigate the quantum correlation dynamics of three independent qubits each locally interacting with a zero temperature non-Markovian reservoir by using the Geometric measure of quantum discord (GQD). The dependence of quantum…

Quantum Physics · Physics 2024-05-01 M. A. Shukri , Fares S. S. Alzahri , Ali Saif M. Hassan

The concept of quantum geometry for single-particle states has revolutionized our interpretation of several emergent properties in condensed matter. However, a description of the quantum geometry for interacting particles and an…

Materials Science · Physics 2025-08-12 MingRui Lai , Fengyuan Xuan , Su Ying Quek

In this paper, we study the phenomenon of quantum interference in the presence of external gravitational fields described by alternative theories of gravity. We analyze both non-relativistic and relativistic effects induced by the…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello

In active fluids and active solids the constituents individually generate movement by each extracting energy from their environment or from their own source. Non-reciprocal interactions among these active constituents then enable novel…

Soft Condensed Matter · Physics 2025-03-18 Brady Wu , Qinghao Mao , Bryan VanSaders , Heinrich M. Jaeger

An explicit dynamical model for non relativistic quantum mechanics with an effective gravitational interaction is proposed, which, as being well defined, allows in principle for the evaluation of every physical quantity. Its non unitary…

Quantum Physics · Physics 2007-05-23 Sergio De Filippo

We consider a non relativistic quantum system consisting of $K$ heavy and $N$ light particles in dimension three, where each heavy particle interacts with the light ones via a two-body potential $\alpha V$. No interaction is assumed among…

Mathematical Physics · Physics 2009-11-11 Riccardo Adami , Rodolfo Figari , Domenico Finco , Alessandro Teta

Experiments are beginning to probe the interaction of quantum particles with gravitational fields beyond the uniform-field regime. In non-relativistic quantum mechanics, the gravitational field in such experiments can be written as a…

We present a generalization of the two-body contact interaction for non-relativistic particles trapped in one dimension. The particles interact only when they are a distance c apart. The competition of the interaction length scale with the…

Quantum Physics · Physics 2024-08-29 G. Bougas , N. L. Harshman , P. Schmelcher

Recently it has been shown that the quadrupole interactions can be improved significantly as the atom interacts at near resonance with the Laguerre-Gaussian (LG) mode. In this paper, we illustrate that other kinds of optical vortex can be…

Quantum Physics · Physics 2019-01-29 Saud Al-Awfi , Smail Bougouffa