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Using the multipolar expansion of electrostatic and magnetostatic potential energies, we characterize the long-range interactions between two weakly-bound diatomic molecules, taking as an example the paramagnetic Er$_2$ Feshbach molecules…

Atomic Physics · Physics 2017-04-11 Maxence Lepers , Goulven Quéméner , Eliane Luc-Koenig , Olivier Dulieu

Thermodynamic and dynamical properties of systems with long-range pairwise interactions (LRI), which decay as $1/r^{d+\sigma}$ at large distances $r$ in $d$ dimensions, are reviewed. Two broad classes of such systems are discussed. (i)…

Statistical Mechanics · Physics 2013-12-03 Freddy Bouchet , Shamik Gupta , David Mukamel

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We propose a novel approach in the study of transport phenomena in dense systems or systems with long range interactions where multiple particle interactions must be taken into consideration. Within Boltzmann's kinetic formalism, we study…

Classical Physics · Physics 2015-06-26 Travis J. Sherman , Johann Rafelski

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We demonstrate that long-range interaction in a system can lead to a very strong interaction between long-wavelength quasiparticles and make them heavily damped. In particular, we discuss magnon spectrum using 1/S expansion in 3D Heisenberg…

Strongly Correlated Electrons · Physics 2010-08-02 A. V. Syromyatnikov

We study the the large-$n$ dynamics of the long-range quantum $O(n)$ model, focusing on the strong long-range regime $\alpha<d$. The dynamics of the model exhibits non-trivial features on mesoscopic timescales $t\sim\ln N$, due to the…

Statistical Mechanics · Physics 2025-12-18 Guido Giachetti , Nicolo Defenu

A field-theoretical description of the behavior of a disordered Ising system with long-range interaction is presented. The description is performed in the two-loop approximation in three dimensions using the Pade-Borel resummation…

Statistical Mechanics · Physics 2007-05-23 S. V. Belim

The present work reports about the dynamics of a collection of randomly distributed, and randomly oriented, oscillators in 3D space, coupled by an interaction potential falling as $1/r^3$, where r stands for the inter-particle distance.…

Disordered Systems and Neural Networks · Physics 2017-11-22 Simona Olmi , Matteo Gori , Irene Donato , Marco Pettini

Quantum simulators based on atoms or molecules often have long-range interactions due to dipolar or Coulomb interactions. We present a method based on Floquet engineering to turn a long-range interaction into a short-range one. By…

Quantum Gases · Physics 2016-11-09 Tony E. Lee

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

Microscopic control over polar molecules with tunable interactions would enable realization of novel quantum phenomena. Using an applied electric field gradient, we demonstrate layer-resolved state preparation and imaging of ultracold…

We present an overview of our recent investigations of long-range interactions in an ultracold Cs Rydberg gas. These interactions are studied by high-resolution photoassociation spectroscopy, using excitation close to one-photon transitions…

Atomic Physics · Physics 2016-07-15 Heiner Saßmannshausen , Johannes Deiglmayr , Frédéric Merkt

We present a mixed-dimensional atomic gas system to unambiguously detect and systematically probe mediated interactions. In our scheme, fermionic atoms are confined in two parallel planes and interact via exchange of elementary excitations…

Quantum Gases · Physics 2017-05-02 Daniel Suchet , Zhigang Wu , Frédéric Chevy , Georg M. Bruun

The long-range electrostatic interactions between molecules depend strongly on their relative orientation, which manifests as a rotational state dependence. Interactions between molecules in the same rotational quantum state are well-known…

Atomic Physics · Physics 2024-05-16 Etienne F. Walraven , Tijs Karman

We present a scheme for coherently manipulating quantum states of photons by incorporating multiple photonic modes in a system with long-range interactions. The presence of nonlocal photon-photon interactions destroys the energy or momentum…

Quantum Physics · Physics 2019-06-11 Fan Yang , Yong-Chun Liu , Li You

Recent theoretical studies of statistical mechanical properties of systems with long range interactions are briefly reviewed. In these systems the interaction potential decays with a rate slower than 1/r^d at large distances r in d…

Statistical Mechanics · Physics 2009-11-13 David Mukamel

In model independent way considered long-range interactions of the macroscopic objects under assumption that any particle of this objects interact with probe particle as $ A/r^n$. Also presented model-independent corrections to the Coulomb…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. A. Alanakyan

The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster rate, the short-range behaviour is…

Statistical Mechanics · Physics 2019-12-05 Somnath Maity , Utso Bhattacharya , Amit Dutta