scholarly journals Light and Airy: A Simple Solution for Relativistic Quantum Acceleration Radiation

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 60
Author(s):  
Michael R. R. Good ◽  
Eric V. Linder
Keyword(s):  
Particle Production ◽  
Casimir Effect ◽  
Relativistic Quantum ◽  
Entanglement Entropy ◽  
Particle Creation ◽  
Finite Energy ◽  
Negative Energy ◽  
Dynamical Casimir Effect ◽  
Quantum Radiation ◽  
General Relations

We study the quantum radiation of particle production by vacuum from an ultra-relativistic moving mirror (dynamical Casimir effect) solution that allows (possibly for the first time) analytically calculable time evolution of particle creation and an Airy particle spectral distribution. The reality of the beta Bogoliubov coefficients is responsible for the simplicity, and the mirror is asymptotically inertial at the speed of light, with finite energy production. We also discuss general relations regarding negative energy flux, the transformation to the 1-D Schrödinger equation, and the incompleteness of entanglement entropy.

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 CGHS Black Hole Analog Moving Mirror and Its Relativistic Quantum Information as Radiation Reaction

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1664
Author(s):  
Aizhan Myrzakul ◽  
Chi Xiong ◽  
Michael R. R. Good
Keyword(s):  
Black Hole ◽  
Relativistic Quantum ◽  
Entanglement Entropy ◽  
Particle Creation ◽  
Radiation Reaction ◽  
Radiative Power ◽  
Gravitational Analog ◽  
Self Force ◽  
Approach To Thermal Equilibrium ◽  
Laboratory Time

The Callan–Giddings–Harvey–Strominger black hole has a spectrum and temperature that correspond to an accelerated reflecting boundary condition in flat spacetime. The beta coefficients are identical to a moving mirror model, where the acceleration is exponential in laboratory time. The center of the black hole is modeled by the perfectly reflecting regularity condition that red-shifts the field modes, which is the source of the particle creation. In addition to computing the energy flux, we find the corresponding moving mirror parameter associated with the black hole mass and the cosmological constant in the gravitational analog system. Generalized to any mirror trajectory, we derive the self-force (Lorentz–Abraham–Dirac), consistently, expressing it and the Larmor power in connection with entanglement entropy, inviting an interpretation of acceleration radiation in terms of information flow. The mirror self-force and radiative power are applied to the particular CGHS black hole analog moving mirror, which reveals the physics of information at the horizon during asymptotic approach to thermal equilibrium.

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.

FERMION PARTICLE PRODUCTION IN DYNAMICAL CASIMIR EFFECT IN A THREE-DIMENSIONAL BOX

2012 ◽  
Vol 27 (30) ◽  
pp. 1250176 ◽  
Author(s):  
M. R. SETARE ◽  
A. SEYEDZAHEDI
Keyword(s):  
Particle Production ◽  
Casimir Effect ◽  
Three Dimensional ◽  
Casimir Energy ◽  
Resonance Case ◽  
Dynamical Casimir Effect ◽  
Mit Bag Model ◽  
Quantized Field ◽  
The Mean ◽  
Number Of Particles

In this paper, we investigate the problem of fermion creation inside a three-dimensional cubic box. We present an appropriate wave function which satisfies the Dirac equation in this geometry with MIT bag model boundary condition. We consider the box with oscillating walls and introduce the time evolution of the quantized field by expanding it over the instantaneous basis. We explain how we can obtain the average number of particles created. In this regard, we find the Bogoliubov coefficients. We consider an oscillation and determine the coupling conditions between different modes that can be satisfied depending on the cavity's spectrum. Assuming the parametric resonance case we obtain an expression for the mean number of created fermions in each mode of an oscillation and their dynamical Casimir energy.

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 Number of particle creation and decoherence in the nonideal dynamical Casimir effect at finite temperature

2009 ◽  
Vol 324 (10) ◽  
pp. 2057-2073 ◽  
Author(s):  
L.C. Celeri ◽  
F. Pascoal ◽  
M.A. de Ponte ◽  
M.H.Y. Moussa
Keyword(s):  
Finite Temperature ◽  
Casimir Effect ◽  
Particle Creation ◽  
Dynamical Casimir Effect
Sign in / Sign up

Export Citation Format

Share Document