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The surface impedance approach to the description of the thermal Casimir effect in the case of real metals is elaborated starting from the free energy of oscillators. The Lifshitz formula expressed in terms of the dielectric permittivity…

Quantum Physics · Physics 2009-11-10 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The general theory of electromagnetic--fluctuation--induced interactions in dielectric bodies as formulated by Dzyaloshinskii, Lifshitz, and Pitaevskii is rewritten as a perturbation theory in terms of the spatial contrast in (imaginary)…

Quantum Physics · Physics 2009-07-14 Ramin Golestanian

The energy of fluctuating electromagnetic field is investigated for the thermal Casimir force acting between parallel plates made of real metal. It is proved that for nondissipative media with temperature independent dielectric permittivity…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

This chapter deals with atom-wall interaction occurring in the "long-range" regime (typical distances: 1-1000 nm), when the electromagnetic fluctuations of an isolated atom are modified by the vicinity with a surface. Various regimes of…

Atomic Physics · Physics 2007-05-23 Daniel Bloch , Martial Ducloy

The determination of the Landau free energy (the grand thermodynamic potential) by a perturbation theory is advanced to arbitrary order for the specific case of non-interacting fermionic systems perturbed by a one-particle potential.…

Statistical Mechanics · Physics 2018-07-11 Cezary Sliwa , Tomasz Dietl

A theoretical approach for a non-perturbative dynamical description of two interacting atoms in an optical lattice potential is introduced. The approach builds upon the stationary eigenstates found by a procedure described in Grishkevich et…

Quantum Gases · Physics 2015-06-11 Philipp-Immanuel Schneider , Sergey Grishkevich , Alejandro Saenz

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

Molecular dynamics simulations are used to study different definitions of contact at the atomic scale. The roles of temperature, adhesive interactions and atomic structure are studied for simple geometries. An elastic, crystalline substrate…

Materials Science · Physics 2015-03-14 Shengfeng Cheng , Mark O. Robbins

We consider the interatomic van der Waals interaction energy between two neutral ground-state atoms moving in the vacuum space with the same uniform acceleration. We assume the acceleration orthogonal to their separation, so that their…

Quantum Physics · Physics 2013-07-25 Antonio Noto , Roberto Passante

The thermal free energy and pressure of dispersion interaction between two graphene sheets described by the Dirac model are calculated using the Lifshitz formula with reflection coefficients expressed via the polarization tensor. The…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 G. L. Klimchitskaya , V. M. Mostepanenko

Highly polarizable metastable He* ($\mathrm{2^3S}$) and Ne* ($\mathrm{2^3P}$) atoms have been diffracted from a 100 nm period silicon nitride transmission grating and the van der Waals coefficients $C_3$ for the interaction of the excited…

The van der Waals friction between two semi-infinite solids, and between a small neutral particle and semi-infinite solid is reconsidered on the basis of thermal quantum field theory in the Matsubara formulation. The calculation of the…

Materials Science · Physics 2009-11-11 A. I. Volokitin , B. N. J. Persson

We use the density matrix formalism in order to calculate the energy level shifts, in second order on interaction, of an atom in the presence of a perfectly conducting wall in the dipole approximation. The thermal corrections are also…

Quantum Physics · Physics 2009-11-13 T. N. C. Mendes , C. Farina

Recently U. D. Jentschura [Phys. Rev. A $\bf 109$, 012802 (2024)] rederived the multipole corrections to the dipole part of the atom-wall interaction described by the Lifshitz theory using the concept of volume dielectric permittivity.…

Atomic Physics · Physics 2025-01-28 G. L. Klimchitskaya

This study examines dissipative forces in photon-medium interactions through time-independent perturbation theory, with a specific focus on single Helium-4 atoms. Utilizing a Hamiltonian framework, energy corrections induced by dissipative…

Other Condensed Matter · Physics 2024-11-28 Raju S. Khatiwada , N. P. Adhikari , C. Ortiz

We obtain analytically the exact non-retarded dispersive interaction energy between an atom and a perfectly conducting disc. We consider the atom in the symmetry axis of the disc and assume the atom is predominantly polarizable in the…

High Energy Physics - Theory · Physics 2016-03-09 Reinaldo de Melo e Souza , W. J. M. Kort-Kamp , C. Sigaud , C. Farina

The Lifshitz-type formulas for the free energy and Casimir-Polder force acting between an atom possessing a permanent magnetic moment and a wall made of different materials are derived. Simple model allowing analytic results is considered…

Quantum Physics · Physics 2015-05-13 G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko

A new general expression is derived for the fluctuating electromagnetic field outside a metal surface, in terms of its surface impedance. It provides a generalization to real metals of Lifshitz theory of molecular interactions between…

Quantum Physics · Physics 2008-11-26 Giuseppe Bimonte

We go beyond the approximate series-expansions used in the dispersion theory of finite size atoms. We demonstrate that a correct, and non-perturbative, theory dramatically alters the dispersion selfenergies of atoms. The non-perturbed…

Atomic Physics · Physics 2014-11-25 Priyadarshini Thiyam , C. Persson , I. Brevik , Bo E. Sernelius , Mathias Boström