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The Casimir effect is a macroscopic evidence of the quantum nature of the vacuum. On a ring, it leads to a finite size correction to the vacuum energy. In this work, we show that this vacuum's energy and pressure acquire additional, sizable…

Quantum Gases · Physics 2024-07-23 Baptiste Bermond , Adolfo G. Grushin , David Carpentier

Motivated by a recent proposal for an experimental verification of the dynamical Casimir effect, the macroscopic electromagnetic field within a perfect cavity containing a thin slab with a time-dependent dielectric permittivity is quantized…

Quantum Physics · Physics 2009-11-10 Michael Uhlmann , Günter Plunien , Ralf Schützhold , Gerhard Soff

We obtain the Casimir effect for the massless scalar field in one dimension based on the analogy between the quantum field and the continuum limit of an infinite set of coupled harmonical oscillators.

Physics Education · Physics 2007-05-23 A. Farkas , N. Nicolaevici

The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another exponentially decreasing. We find exact solutions of the Dirac…

High Energy Physics - Theory · Physics 2017-04-09 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

Modern quantum field theory has offered us a very intriguing picture of empty space. The vacuum state is no longer an inert, motionless state. We are instead dealing with an entity teeming with fluctuations that continuously produce virtual…

Quantum Physics · Physics 2020-10-15 Gheorghe Sorin Paraoanu , Göran Johansson

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

We compute the vacuum energy of a scalar field rotating with angular velocity $\Omega$ on a disk of radius $R$ and with Dirichlet boundary conditions. The rotation is introduced by a metric obtained by a Galilean transformation from a rest…

High Energy Physics - Theory · Physics 2025-06-09 M. Bordag , I. G. Pirozhenko

Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

We study the Dynamical Casimir Effect resulting from the oscillatory motion of either one or two flat semitransparent mirrors, coupled to a quantum real and massless scalar field. Our approach is based on a perturbative evaluation, in the…

High Energy Physics - Theory · Physics 2017-09-13 C. D. Fosco , A. Giraldo , F. D. Mazzitelli

We study the effect of the non-commutativity on the creation of scalar particles from vacuum in the anisotropic universe space-time. We derive the deformed Klein-Gordon equation up to second order in the non-commutativity parameter using…

High Energy Physics - Theory · Physics 2016-09-06 Slimane Zaim

We investigate the phenomenon of quantum radiation - i.e. the conversion of (virtual) quantum fluctuations into (real) particles induced by dynamical external conditions - for an initial thermal equilibrium state. For a resonantly vibrating…

Quantum Physics · Physics 2007-05-23 Ralf Schützhold , Günter Plunien , Gerhard Soff

Quantum particle creation from spacetime horizons, or accelerating boundaries in the dynamical Casimir effect, can have an equilibrium, or thermal, distribution. Using an accelerating boundary in flat spacetime (moving mirror), we…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Diego Fernández-Silvestre , Michael R. R. Good , Eric V. Linder

Temporal modulation of the quantum vacuum through fast motion of a neutral body or fast changes of its optical properties is known to promote virtual into real photons, the so-called dynamical Casimir effect. Empowering modulation protocols…

Quantum Physics · Physics 2021-05-11 Diego A. R. Dalvit , Wilton J. M. Kort-Kamp

We exactly calculate the particle number $N$ of scalar fields which are created from an initial vacuum in certain higher-dimensional cosmological models. The spacetimes in these models are the four-dimensional Chitre-Hartle or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Wung-Hong Huang

In this work we investigate the dynamical Casimir effect in a nonideal cavity by deriving an effective Hamiltonian. We first compute a general expression for the average number of particle creation, applicable for any law of motion of the…

Quantum Physics · Physics 2015-05-13 L. C. Celeri , F. Pascoal , M. A. de Ponte , M. H. Y. Moussa

We show explicitly that there is particle creation in a static spacetime. This is done by studying the field in a coordinate system based on a physical principle which has recently been proposed. There the field is quantized by decomposing…

High Energy Physics - Theory · Physics 2015-06-26 D. J. Lamb , A. Z. Capri , S. M. Roy

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

We show two examples in which the dynamical Casimir effect can be achieved by modulating the Kerr or higher order nonlinearities. In the first case the cavity field is coupled to an arbitrary number of qubits or an harmonic oscillator via…

Quantum Physics · Physics 2022-01-20 A V Dodonov , V V Dodonov

In this work we consider particle creation by the expansion of the universe, using two Bianchi type I anisotropic models. The particles studied are of spin 0 and 1/2. The cosmological models have rotational symmetry, which allows us to…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Luis O. Pimentel , Flavio Pineda

The Casimir stress on a spherical shell in de Sitter signature changing background for massless scalar field satisfying Dirichlet boundary conditions on the shell is calculated. The Casimir stress is calculated for inside and outside of the…

High Energy Physics - Theory · Physics 2009-02-11 M. R. Setare , F. Darabi