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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 the peculiarities of the nonstationary Casimir effect (creation of photons in cavities with moving boundaries) in the special case of two resonantly coupled modes with frequencies $\omega_0$ and $(3\Delta)\omega_0$, parametrically…

Quantum Physics · Physics 2009-11-07 A. V. Dodonov , V. V. Dodonov

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

A boundary undergoing relativistic motion can create particles from quantum vacuum fluctuations in a phenomenon known as the dynamical Casimir effect. We examine the creation of particles, and more generally the transformation of quantum…

Quantum Physics · Physics 2019-01-23 Maximilian P. E. Lock , Ivette Fuentes

We study the problem of the behavior of a quantum massless scalar field in the space between two parallel infinite perfectly conducting plates, one of them stationary, the other moving periodically. We reformulate the physical problem into…

Quantum Physics · Physics 2009-11-10 Nikola P. Petrov

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless spin-3/2 field with periodic boundary…

High Energy Physics - Theory · Physics 2009-03-19 Wenbiao Liu , Kui Xiao , Hongbao Zhang

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some points unclear. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the…

High Energy Physics - Theory · Physics 2014-12-03 Xiang-Hua Zhai , Rui-Hui Lin , Chao-Jun Feng , Xin-Zhou Li

In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle…

High Energy Physics - Theory · Physics 2024-05-17 Yu-Cun Xie

We develop a model of a quantum field confined within a cavity with a movable wall where the position of the wall is quantized. We obtain a full description of the dynamics of both the quantum field and the confining wall depending on the…

The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on…

High Energy Physics - Theory · Physics 2023-02-08 M. N. Chernodub , V. A. Goy , A. V. Molochkov

Molecular quantum electrodynamics leads to photon frequency shifts and thus to changes in condensed matter free energies often called the Casimir effect. Strong quantum electrodynamic coupling between radiation and molecular motions can…

Statistical Mechanics · Physics 2013-05-29 S. Sivasubramanian , A. Widom , Y. N. Srivastava

Quantum electrodynamics near a boundary is investigated by considering the inertial mass shift of an electron near a dielectric or conducting surface. We show that in all tractable cases the shift can be written in terms of integrals over…

Quantum Physics · Physics 2012-12-14 Robert Bennett , Claudia Eberlein

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

The Casimir effect is an interesting phenomenon in the sense that it provides us with one of the primitive means of extracting the energy out of the vacuum. Since the original work of Casimir a number of works have appeared in extending the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Abe , J. Hashida , T. Muta , A. Purwanto

A non-stationary one-dimensional cavity can be described by the time-dependent and multi-mode effective Hamiltonian of the so-called dynamical Casimir effect. Due to the non-adiabatic boundary conditions imposed in one of the cavity…

Quantum Physics · Physics 2021-09-14 I. Ramos-Prieto , R. Román-Ancheyta , J. Récamier , H. M. Moya-Cessa

We present a canonical formalism facilitating investigations of the dynamical Casimir effect by means of a response theory approach. We consider a massless scalar field confined inside of an arbitaray domain $G(t)$, which undergoes small…

Quantum Physics · Physics 2009-10-30 R. Schützhold , G. Plunien , G. Soff

We propose a generalization of the superconducting circuit simulation of the dynamical Casimir effect where we consider relativistically moving boundary conditions following different trajectories. We study the feasibility of the setup used…

Quantum Physics · Physics 2016-02-03 Paulina Corona-Ugalde , Eduardo Martin-Martinez , C. M. Wilson , Robert B. Mann

We present a numerical analysis of the particle creation for a quantum field in the presence of time dependent boundary conditions. Having in mind recent experiments involving superconducting circuits, we consider their description in terms…

Quantum Physics · Physics 2016-03-23 F. C. Lombardo , F. D. Mazzitelli , A. Soba , P. I. Villar

The Casimir effect, a key observable realization of vacuum fluctuations, is usually taught in graduate courses on quantum field theory. The growing importance of Casimir forces in microelectromechanical systems motivates this subject as a…

Other Condensed Matter · Physics 2009-12-14 L. Palova , P. Chandra , P. Coleman

In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile
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