Dynamical Casimir-Polder force in a one-dimensional cavity with quasimodes

Abstract

In this article, we consider the dynamic Casimir-Polder force between an atom and a conducting wall in a one-dimensional cavity. Using quasimode theory to describe the dissipation of the electromagnetic fields in the cavity, our investigation shows that the force oscillations are damped in a short time, and tend to a final, steady, negative value. We discuss in detail the effects on the force of the quasimode decay rate, the cavity size, and the atom-wall distance.

Fifty Years of the Dynamical Casimir Effect

“…The term was coined in papers [549,550]. For further developments, one can consult studies [419,[551][552][553][554][555][556][557][558].…”

Electronic Casimir—Polder Force in a One-dimensional Tight-Binding Nanowire at Finite Temperature

“…In 1948, Casimir and Polder [20] calculated the attractive force between two neutral polarizable atoms (and the force between a neutral atom and a perfectly conducting wall) in vacuum called Casimir-Polder (CP) force, which gives a significant correction of the van der Waals-London force [21] for the large atomic separation case. In most of the previous literatures [22][23][24][25][26][27][28][29], researches were focused on the force induced by EMF fluctuation. Recently, Tanaka et al [30] generalized to the case, where the attractive force between two neutral impurity atoms results from the exchange of virtual electrons, called electronic Casimir-Polder (ECP) force.…”

Atom dynamical dissipation in the laser cavity with quasimode

“…The Casimir-Polder force and relative topics have been discussed under the same model without rotating wave approximation. [10,17] We also assume that the directions of the dipole moment for atom and wave vectors of the cavity fields are perpendicular to the surface of the quantum well. Here f j (x) is the mode function between x = 0 and x = l…”

“…Especially, Fox and Li used a kind of quasimode to describe the field mode in the dissipative cavity with least diffraction dissipation. In our early work, [10] we applied the Fox-Li quasimode theory to study the Casimir-Polder force between the two-level system and the cavity wall.…”