scholarly journals PARTICLE CREATION IN AN OSCILLATING SPHERICAL CAVITY

2001 ◽  
Vol 16 (19) ◽  
pp. 1269-1276 ◽  
Author(s):  
M. R. SETARE ◽  
A. A. SAHARIAN
Keyword(s):  
Casimir Effect ◽  
Particle Creation ◽  
Massless Scalar ◽  
Quantum Vacuum ◽  
Dynamical Casimir Effect ◽  
Basis Expansion ◽  
Scalar Particles ◽  
First Order ◽  
Expansion Coefficients ◽  
Infinite Set

We study the creation of massless scalar particles from the quantum vacuum due to the dynamical Casimir effect by spherical shell with oscillating radius. In the case of a small amplitude of the oscillation, to solve the infinite set of coupled differential equations for the instantaneous basis expansion coefficients we use the method based on the time-dependent perturbation theory of the quantum mechanics. To the first order of the amplitude we derive the expressions for the number of the created particles for both parametric resonance and non-resonance cases.

scholarly journals PARTICLE CREATION BY MOVING SPHERICAL SHELL IN THE DYNAMICAL CASIMIR EFFECT

2001 ◽  
Vol 16 (14) ◽  
pp. 927-935 ◽  
Author(s):  
M. R. SETARE ◽  
A. A. SAHARIAN
Keyword(s):  
Spherical Shell ◽  
Casimir Effect ◽  
Particle Creation ◽  
Massless Scalar ◽  
Dynamical Casimir Effect ◽  
Basis Expansion ◽  
Scalar Particles ◽  
The Mean ◽  
Expansion Coefficients ◽  
Number Of Particles

The creation of massless scalar particles from the quantum vacuum by spherical shell with time varying radius is studied. In the general case of motion the equations are derived for the instantaneous basis expansion coefficients. The examples are considered when the mean number of particles can be explicitly evaluated in the adiabatic approximation.

scholarly journals TIME-DEPENDENT ROBIN BOUNDARY CONDITIONS IN THE DYNAMICAL CASIMIR EFFECT

2012 ◽  
Vol 14 ◽  
pp. 306-315 ◽  
Author(s):  
C. FARINA ◽  
HECTOR O. SILVA ◽  
ANDRESON L. C. REGO ◽  
DANILO T. ALVES
Keyword(s):  
Thermal State ◽  
Casimir Effect ◽  
Particle Creation ◽  
Time Dependent ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Dynamical Casimir Effect ◽  
Initial Field ◽  
Perturbative Approach ◽  
Robin Boundary

Motivated by experiments in which moving boundaries are simulated by time-dependent properties of static systems, we discuss the model of a massless scalar field submitted to a time-dependent Robin boundary condition (BC) at a static mirror in 1 + 1 dimensions. Using a perturbative approach, we compute the spectral distribution of the created particles and the total particle creation rate, considering a thermal state as the initial field state.

scholarly journals Shaping Dynamical Casimir Photons

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 189
Author(s):  
Diego A. R. Dalvit ◽  
Wilton J. M. Kort-Kamp
Keyword(s):  
Optical Properties ◽  
Lattice Structure ◽  
Casimir Effect ◽  
Surface Profile ◽  
Microscopic Theory ◽  
Space Time ◽  
Quantum Vacuum ◽  
Dynamical Casimir Effect ◽  
Photon Pairs ◽  
Time Quantum

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 with spatial control could enable the shaping of spectral, spatial, spin, and entanglement properties of the emitted photon pairs. Space–time quantum metasurfaces have been proposed as a platform to realize this physics via modulation of their optical properties. Here, we report the mechanical analog of this phenomenon by considering systems in which the lattice structure undergoes modulation in space and in time. We develop a microscopic theory that applies both to moving mirrors with a modulated surface profile and atomic array meta-mirrors with perturbed lattice configuration. Spatiotemporal modulation enables motion-induced generation of co- and cross-polarized photon pairs that feature frequency-linear momentum entanglement as well as vortex photon pairs featuring frequency-angular momentum entanglement. The proposed space–time dynamical Casimir effect can be interpreted as induced dynamical asymmetry in the quantum vacuum.

scholarly journals Finite thermal particle creation of Casimir light

2020 ◽  
Vol 35 (03) ◽  
pp. 2040006 ◽  
Author(s):  
Michael R. R. Good ◽  
Eric V. Linder ◽  
Frank Wilczek
Keyword(s):  
Finite Number ◽  
Casimir Effect ◽  
Particle Creation ◽  
Dynamical Casimir Effect ◽  
Number Of Particles

A new solution for an analytic spectrum of particle creation by an accelerating mirror (dynamical Casimir effect) is given. It is the first model to simultaneously radiate thermally and emit a finite number of particles.

DYNAMICAL CASIMIR EFFECT IN A KICKED BOX

2006 ◽  
Vol 21 (30) ◽  
pp. 6173-6182 ◽  
Author(s):  
FRANCESCO SORGE
Keyword(s):  
Casimir Effect ◽  
Particle Creation ◽  
Matter Field ◽  
Dynamical Casimir Effect ◽  
Hawking Effect ◽  
Relativistic Approach ◽  
Close Relationship ◽  
Klein Gordon ◽  
General Relativistic ◽  
Shed Light

We investigate the Dynamical Casimir Effect (DCE) in the case of a scalar field enclosed in a box which undergoes a phase of strong acceleration (a kick) during its motion. Following a general-relativistic approach, we describe the acceleration field as a time-dependent space–time metric in the frame of a comoving, noninertial observer. Assuming a nonrelativistic motion of the box, we perturbatively solve the Klein–Gordon equation for the matter field, evaluating the β-Bogolubov coefficients, related to the particle creation. We show that, after the kick, a (small) number of created quanta is found inside the box. The resulting spectrum carries, in principle, information about the details of the box acceleration phase. The present approach can serve to shed light on the close relationship between DCE and Unruh–Hawking effect.

scholarly journals Zeta Functions and the Cosmos—A Basic Brief Review

Universe ◽  
2020 ◽  
Vol 7 (1) ◽  
pp. 5
Author(s):  
Emilio Elizalde
Keyword(s):  
Large Scale ◽  
Casimir Effect ◽  
Zeta Functions ◽  
Harmonic Series ◽  
Quantum Vacuum ◽  
Vacuum Fluctuations ◽  
Dynamical Casimir Effect ◽  
Quantum Theories ◽  
Hard Problems ◽  
Physical Quantities

This is a very basic and pedagogical review of the concepts of zeta function and of the associated zeta regularization method, starting from the notions of harmonic series and of divergent sums in general. By way of very simple examples, it is shown how these powerful methods are used for the regularization of physical quantities, such as quantum vacuum fluctuations in various contexts. In special, in Casimir effect setups, with a note on the dynamical Casimir effect, and mainly concerning its application in quantum theories in curved spaces, subsequently used in gravity theories and cosmology. The second part of this work starts with an essential introduction to large scale cosmology, in search of the observational foundations of the Friedmann-Lemaître-Robertson-Walker (FLRW) model, and the cosmological constant issue, with the very hard problems associated with it. In short, a concise summary of all these interrelated subjects and applications, involving zeta functions and the cosmos, and an updated list of the pioneering and more influential works (according to Google Scholar citation counts) published on all these matters to date, are provided.

scholarly journals Listening to the quantum vacuum: a perspective on the dynamical Casimir effect

2020 ◽  
Vol 51 (4) ◽  
pp. 18-20
Author(s):  
Gheorghe Sorin Paraoanu ◽  
Göran Johansson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Experimental Verification ◽  
Casimir Effect ◽  
Empty Space ◽  
Vacuum State ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Dynamical Casimir Effect ◽  
Virtual Particles

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 particles popping in and out of existence. The dynamical Casimir effect is a paradigmatic phenomenon, whereby these particles are converted into real particles (photons) by changing the boundary conditions of the field. It was predicted 50 years ago by Gerald T. Moore and it took more than 40 years until the first experimental verification.

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