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We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have…

Quantum Physics · Physics 2017-05-24 R. Román-Ancheyta , C. González-Gutiérrez , J. Récamier

In a cosmological setting, particle production is ubiquitous. It may occur as a consequence of the expansion of the background or because a field couples to other degrees of freedom that evolve with time. The process is well understood in…

High Energy Physics - Theory · Physics 2025-02-25 Evgueni Alexeev , Raphael Flauger

Quantum fields in cosmological spacetimes can experience particle production due to their interaction with the expanding background. This effect is particularly relevant for models of the very early Universe, when the energy density…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Fernando Zago , Arthur Kosowsky

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

Quantum Physics · Physics 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

This paper explores how magnetic fields affect the Casimir effect within the context of a simple quasi-1D interacting fermionic system. A novel phenomenon emerges, resulting from the interaction between external magnetic fields and boundary…

High Energy Physics - Theory · Physics 2024-10-28 Antonino Flachi , Muneto Nitta , Satoshi Takada , Ryosuke Yoshii

We consider the problem of motion-induced photon creation from quantum vacuum inside closed, perfectly conducting cavities with time-dependent geometries. These include one dimensional Fabry-Perrot resonators with Dirichlet or Neumann…

Quantum Physics · Physics 2009-11-13 D. A. R. Dalvit , F. D. Mazzitelli , X. Orsi Millan

In massless scalar field cosmology, imposing the universe's physical volume as fundamentally discrete resolves the big bang singularity via a big bounce. We use quantum field theory on curved background to numerically track the number of…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Mustafa Saeed , Irfan Javed , Aiman Nauman

We present a general, analytic recipe to compute the entanglement that is generated between arbitrary, discrete modes of bosonic quantum fields by Bogoliubov transformations. Our setup allows the complete characterization of the quantum…

Quantum Physics · Physics 2013-02-19 Nicolai Friis , Ivette Fuentes

We use the reduced state of the field formalism [Entropy 21, 705 (2019)] to derive conditions under which a Bogoliubov transformation can be considered semi-classical. We apply this result to the dynamical Casimir effect in a moving medium…

Quantum Physics · Physics 2023-06-14 Tomasz Linowski , Łukasz Rudnicki

The features of vacuum particle creation in an external classical field are studied for simplest external field models in $3 + 1$ dimensional QED. The investigation is based on a kinetic equation that is a nonperturbative consequence of the…

High Energy Physics - Phenomenology · Physics 2017-04-05 S. A. Smolyansky , A. D. Panferov , D. B. Blaschke , L. Juchnowski , B. Kaempfer , A. Otto

We discuss four different, though related, fundamental topics related to the Casimir effect: 1) We suggest that the application of Casimir theory to real dielectric materials, thus implying the atomic spacing as a course-grained length…

Quantum Physics · Physics 2022-06-03 Iver Brevik

We use digital quantum computing to simulate the creation of particles in a dynamic spacetime. We consider a system consisting of a minimally coupled massive quantum scalar field in a spacetime undergoing homogeneous and isotropic…

Quantum Physics · Physics 2025-02-12 Marco Díaz Maceda , Carlos Sabín

When studying the Casimir effect in a quantum field theory setting, one can impose the boundary conditions by adding appropriate Dirac-delta functions to the path integral. In this paper, the limits of this approach are explored under…

High Energy Physics - Theory · Physics 2026-02-23 David Vercauteren

We calculate the number of photons produced by the parametric resonance in a cavity with vibrating walls. We consider the case that the frequency of vibrating wall is $n \omega_1 (n=1,2,3,...)$ which is a generalization of other works…

Quantum Physics · Physics 2009-10-30 Jeong-Young Ji , Hyun-Hee Jung , Jong-Woong Park , Kwang-Sup Soh

We consider the quantum dynamics of a free nonrelativistic particle moving in a cavity and we analyze the effect of a rapid switching between two different boundary conditions. We show that this procedure induces, in the limit of infinitely…

Mathematical Physics · Physics 2018-02-15 Paolo Facchi , Giancarlo Garnero , Marilena Ligabò

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

The linearized Einstein field equations with the renormalized stress tensor of a massless quantum scalar field as source are solved in the 4-dimensional spacetime near an infinite plane boundary. The motion of particles and light is…

High Energy Physics - Theory · Physics 2013-04-24 V. A. De Lorenci , L. G. Gomes , E. S. Moreira

I consider the quantum electromagnetic field in a coaxial cylindrical waveguide, such that the outer cylindrical surface has a time-dependent radius. The field propagates parallel to the axis, inside the annular region between the two…

Quantum Physics · Physics 2009-11-10 P. A. Maia Neto

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

Quantum Physics · Physics 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

The rate of particle creation in a resonantly oscillating cavity is known to be approximately constant at large evolution times. Employing the Schwinger-Keldysh diagrammatic technique, we show that nonlinear interactions generate nonzero…

High Energy Physics - Theory · Physics 2023-03-07 Dmitrii A. Trunin