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We study the resonance interaction between two quantum electric dipoles immersed in optically active surroundings. Quantum electrodynamics is employed to deal with dipole-vacuum interaction. Our results show that the optical activity of…

Quantum Physics · Physics 2016-06-17 Qi-Zhang Yuan , Chun-Hua Yuan , Weiping Zhang

Considering the interactions of two arbitrary particles, we obtain an internal energy expression of the complex system having long-range interactions. Based on the postulate of "equal-probability principle" for all microstates, the…

Statistical Mechanics · Physics 2017-01-19 Yanxiu Liu , Cheng Xu , Zhifu Huang , Bihong Lin , Jincan Chen

DNA denaturation, wetting in two dimensions, depinning of a flux line, and other problems map onto a phase transition with effective long range interaction. It yields giant non-universal critical indexes, arbitrarily large macroscopic…

Statistical Mechanics · Physics 2007-05-23 Mark Ya. Azbel'

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

New methods are presented which enables one to analyze the thermodynamics of systems with long-range interactions. Generically, such systems have entropies which are non-extensive, (do not scale with the size of the system). We show how to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jonathan Oppenheim

Gravitational and electrostatic interactions are fundamental examples of systems with long-range interactions. Equilibrium properties of simple models with long-range interactions are well understood and exhibit exotic behaviors : negative…

Statistical Mechanics · Physics 2012-01-05 Pierre de Buyl

We present first steps toward understanding the ultracold scattering properties of polar molecules in strong electric field-seeking states. We have found that the elastic cross section displays a quasi-regular set of potential resonances as…

Atomic Physics · Physics 2009-11-11 Christopher Ticknor , John L. Bohn

Competition between short- and long-range interactions underpins many emergent phenomena in nature. Despite rapid progress in their experimental control, computational methods capable of accurately simulating open quantum many-body systems…

Quantum Physics · Physics 2026-02-11 Dawid A. Hryniuk , Marzena H. Szymańska

At least two significant roles for large scale quantum coherence in living systems have been suggested: Herbert Fr\"{o}hlich's coherent excitations of nonlinearly coupled ensembles of large polarizable molecules, with frequencies in the…

Biological Physics · Physics 2007-05-23 John Swain

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general features associated to the presence of…

Strongly Correlated Electrons · Physics 2022-10-18 Gianluca Francica , Luca Dell'Anna

A time-delayed response of individual living organisms to information exchanged within flocks or swarms leads to the emergence of complex collective behaviors. A recent experimental setup by (Khadka et al 2018 Nat. Commun. 9 3864),…

Statistical Mechanics · Physics 2019-09-30 Daniel Geiss , Klaus Kroy , Viktor Holubec

Interactions between quantum particles, such as electrons, are the source of important effects, ranging from superconductivity, to the formation of molecular bonds, or the stability of elementary compounds at high-energies. In this article,…

Quantum Physics · Physics 2025-06-16 Javier Argüello-Luengo

Turing's mechanism is often invoked to explain periodic patterns in nature, although direct experimental support is scarce. Turing patterns form in reaction-diffusion systems when the activating species diffuse much slower than the…

Biological Physics · Physics 2024-03-15 Lucas Menou , Chengjie Luo , David Zwicker

We present a theory of resonant processes in a frozen gas of atoms interacting via dipole-dipole potentials that vary as $r^{-3}$, where $r$ is the interatomic separation. We supply an exact result for a single atom in a given state…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. S. Frasier , V. Celli , T. Blum

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

Understanding quantum many-body systems with long-range or infinite-range interactions is of relevance across a broad set of physical disciplines, including quantum optics, nuclear magnetic resonance and nuclear physics. From a theoretical…

Statistical Mechanics · Physics 2024-03-27 Federico Carollo , Igor Lesanovsky

We study the interaction of a two-level atom and two fields, one of them classical. We obtain an effective Hamiltonian for this system by using a method recently introduced that produces a small rotation to the Hamiltonian that allows to…

Quantum Physics · Physics 2013-12-04 R. Juárez-Amaro , J. L. Escudero-Jiménez , H. Moya-Cessa

Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

Relationships between general long-range interacting classical systems on a lattice and the corresponding mean-field models (infinitely long-range interacting models) are investigated. We study systems in arbitrary dimension d for periodic…

Statistical Mechanics · Physics 2015-03-14 Takashi Mori

Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for interactions of arbitrarily long range. The bound quantifies the…

Statistical Mechanics · Physics 2014-05-30 David Métivier , Romain Bachelard , Michael Kastner
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