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In systems with long-range interactions, since energy is a non-additive quantity, ensemble inequivalence can arise: it is possible that different statistical ensembles lead to different equilibrium descriptions, even in the thermodynamic…

Statistical Mechanics · Physics 2018-09-05 Marco Baldovin

In the nonrelativistic many-electron approximation of the theory of photoionization of the atom in the formalism of secondary quantization and the theory of irreducible tensor operators, analytical structures for the quadrupole transition…

Atomic Physics · Physics 2025-04-14 Alexey N. Hopersky , Alexey M. Nadolinsky , Rustam V. Koneev , Julia N. Tolkunova

We consider a Hamiltonian system made of $N$ classical particles moving in two dimensions, coupled via an {\it infinite-range interaction} gauged by a parameter $A$. This system shows a low energy phase with most of the particles trapped in…

Statistical Mechanics · Physics 2009-11-07 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

In a homogeneous medium, the far-field generated by a localized source can be expanded in terms of multipoles; the coefficients are determined by the moments of the localized charge distribution. We show that this structure survives to some…

Analysis of PDEs · Mathematics 2017-08-28 Peter Bella , Arianna Giunti , Felix Otto

Modeling an anisotropic spatially and temporarily dispersive magnetodielectric medium by two independent collections of three dimensional vector fields, we demonstrate a fully canonical quantization of electromagnetic field in the presence…

Quantum Physics · Physics 2010-01-29 Majid Amooshahi

The multiferroics are the materials, where single cell of a magnetically order crystal forms an electric dipole moment. We derive equation for the evolution of the macroscopic density of the electric dipole moment (polarization of the…

Materials Science · Physics 2024-07-30 Pavel A. Andreev , Mariya Iv. Trukhanova

We address the nonadiabatic quantum dynamics of macrosystems with several coupled electronic states, taking into account the possibility of multi-state conical intersections. The general situation of an arbitrary number of states and…

Chemical Physics · Physics 2009-11-13 Etienne Gindensperger , Lorenz S. Cederbaum

An explicit expression is derived for the statistical description of small quantum systems, which are relatively-weakly and directly coupled to only small parts of their environments. The derived expression has a canonical form, but is…

Quantum Physics · Physics 2015-06-05 Wen-ge Wang

The effect of quantum coherence involving macroscopic degree of freedom, and occurring in systems far larger than individual atoms are one of the topical fields in modern physics. Because of material dispersion, a phenomenological approach…

Optics · Physics 2019-05-01 E. O. Kamenetskii

A system of interacting atoms is represented as an union of two subsystems, one of which is the system of atoms, and the other is an auxiliary scalar covariant field, which is equivalent to a given static interatomic potential of general…

Quantum Physics · Physics 2026-04-28 A. Yu. Zakharov

We give a derivation for the indirect interaction between two magnetic dipoles induced by the quantized electromagnetic field. It turns out that the interaction between permanent dipoles directly returns to the classical form; the…

Quantum Physics · Physics 2018-01-19 Jiaxuan Wang , Hui Dong , Sheng-Wen Li

By considering the Einstein vacuum field equations linearized about the Minkowski metric, the evolution equations for the gauge-invariant quantities characterizing the gravitational field are written in a Hamiltonian form by using a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 R. Rosas-Rodriguez

We construct a class of Hamiltonians that describe the photodetection process from beginning to end. Our Hamiltonians describe the creation of a photon, how the photon travels to an absorber (such as a molecule), how the molecule absorbs…

Quantum Physics · Physics 2020-09-16 Saumya Biswas , S. J. van Enk

When canonical Hamiltonians of local quantum field theories are transformed using a renormalization group procedure for effective particles, the resulting interaction terms are non-local. The range of their non-locality depends on the…

High Energy Physics - Theory · Physics 2014-11-21 Stanislaw D. Glazek

We formulate the concept of dominant interaction Hamiltonians to obtain an integrable approximation to the dynamics of an electron exposed to a strong laser field and an atomic potential leading to high harmonic generation. The concept…

Atomic Physics · Physics 2012-01-20 Carlos Zagoya , Christoph-Marian Goletz , Frank Grossmann , Jan M. Rost

We investigate the electromagnetic fields produced by the oscillating point electric or magnetic dipole placed in a spherical volume with nonzero time-independent effective axion field. Our analytical solution shows that the fields outside…

Optics · Physics 2023-05-12 Timur Seidov , Maxim Gorlach

The molecular Hubbard Hamiltonian (MHH) naturally arises for ultracold ground state polar alkali dimer molecules in optical lattices. We show that, unlike ultracold atoms, different molecules display different many-body phases due to…

Quantum Gases · Physics 2013-08-22 M. L. Wall , Erman Bekaroglu , Lincoln D. Carr

Classical equations of motion that are first-order in time and conserve energy can only be quantized after their variables have been transformed to canonical ones, i.e., variables in which the energy is the system's Hamiltonian. The…

General Physics · Physics 2011-03-15 Steven Kenneth Kauffmann

Dipole-dipole interaction between two two-level `atoms' in photonic crystal nanocavity is investigated based on finite-difference time domain algorithm. This method includes both real and virtual photon effects and can be applied for…

Quantum Physics · Physics 2011-12-30 Yong-Gang Huang , Gengyan Chen , Chong-Jun Jin , W. M. Liu , Xue-Hua Wang

The van der Waals interaction between two ground-state atoms is calculated for two electrically or magnetically polarizable particles embedded in a dispersive magneto-dielectric medium. Unlike previous calculations which infer the atom-atom…

Quantum Physics · Physics 2009-11-13 S. Spagnolo , D. A. R. Dalvit , P. W. Milonni
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