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We consider an atom in its ground state undergoing a non-relativistic oscillation in free space. The interaction with the electromagnetic quantum vacuum leads to two effects to leading order in perturbation theory. When the mechanical…

Quantum Physics · Physics 2018-04-04 Reinaldo de Melo e Souza , François Impens , Paulo A. Maia Neto

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

We show that the Casimir force between mirrors with arbitrary frequency dependent reflectivities obeys bounds due to causality and passivity properties. The force is always smaller than the Casimir force between two perfectly reflecting…

Quantum Physics · Physics 2009-10-31 A. Lambrecht , M. -T. Jaekel , S. Reynaud

In this paper we have considered the particle creation in the spatially closed Robertson-Walker space-time. We considered a real massive scalar field which conformally coupled to the Robertson-Walker background. With the dependence of the…

High Energy Physics - Theory · Physics 2007-05-23 M. R. Setare

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

High Energy Physics - Theory · Physics 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity,…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

In this paper we study the one dimensional dynamical Casimir effect. We consider a one dimensional cavity formed by two mirrors, one of which performs an oscillatory motion with a frequency resonant with the cavity. The naive solution,…

Quantum Physics · Physics 2011-07-19 Diego A. R. Dalvit , Francisco D. Mazzitelli

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 present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may…

High Energy Physics - Theory · Physics 2015-06-15 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

After reviewing some essential features of the Casimir effect and, specifically, of its regularization by zeta function and Hadamard methods, we consider the dynamical Casimir effect (or Fulling-Davis theory), where related regularization…

High Energy Physics - Theory · Physics 2008-11-26 Emilio Elizalde

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

Cavities with periodically oscillating mirrors have been predicted to excite photon pairs out of the quantum vacuum in a process known as the Dynamical Casimir effect. Here we propose and analyse an experimental layout that can provide an…

Quantum Physics · Physics 2015-05-30 Daniele Faccio , Iacopo Carusotto

We demonstrate that the Unruh-DeWitt harmonic-oscillator detectors in (1+1) dimensions derivative-coupled with a massless scalar field can mimic the atom mirrors in free space. Without introducing the Dirichlet boundary condition to the…

High Energy Physics - Theory · Physics 2018-11-30 Shih-Yuin Lin

In this work we consider the dynamical Casimir effect for a massless scalar field -- under Dirichlet boundary conditions -- between two concentric spherical shells. We obtain a general expression for the average number of particle creation,…

Quantum Physics · Physics 2009-11-13 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

We study analytically the time-dependent boundary conditions of superconducting microwave circuit experiments in the high plasma frequency limit, in which the conditions are Robin-type and relate the value of the field to the spatial…

Quantum Physics · Physics 2015-02-19 Jason Doukas , Jorma Louko

We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

The Casimir force between two perfectly reflecting parallel plates is considered. In a recent paper we presented generalised physical boundary conditions describing perfectly reflecting parallel plates. These boundary conditions are…

Quantum Physics · Physics 2018-03-15 Adam Stokes , Robert Bennett

Vacuum modes confined into an electromagnetic cavity give rise to an attractive interaction between the opposite walls. When the distance between the walls is changed non-adiabatically, virtual vacuum modes are turned into real particles,…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Pasi Lähteenmäki , G. S. Paraoanu , Juha Hassel , Pertti J. Hakonen

The Casimir effect is a well-known macroscopic consequence of quantum vacuum fluctuations, but whereas the static effect (Casimir force) has long been observed experimentally, the dynamic Casimir effect is up to now undetected. From an…

Quantum Physics · Physics 2007-05-23 C. Braggio , G. Bressi , G. Carugno , C. Del Noce , G. Galeazzi , A. Lombardi , A. Palmieri , G. Ruoso , D. Zanello