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 Amplifying the Hawking Signal in BECs

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Roberto Balbinot ◽  
Alessandro Fabbri
Keyword(s):  
Black Holes ◽  
Casimir Effect ◽  
Pair Creation ◽  
Time Dependent ◽  
Dynamical Casimir Effect ◽  
Hawking Effect ◽  
Acoustic Black Holes ◽  
Bose Einstein ◽  
Simple Models

We consider simple models of Bose-Einstein condensates to study analog pair-creation effects, namely, the Hawking effect from acoustic black holes and the dynamical Casimir effect in rapidly time-dependent backgrounds. We also focus on a proposal by Cornell to amplify the Hawking signal in density-density correlators by reducing the atoms’ interactions shortly before measurements are made.

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 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.

scholarly journals Dynamical Casimir Effect and State Transfer in the Ultrastrong Coupling Regime

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 12 ◽  
Author(s):  
Giuliano Benenti ◽  
Michele Stramacchia ◽  
Giuliano Strini
Keyword(s):  
Quantum Communication ◽  
Casimir Effect ◽  
Matter Field ◽  
Quantum State Transfer ◽  
Dynamical Casimir Effect ◽  
Standard Quantum ◽  
Field Coupling ◽  
State Transfer ◽  
Quantum Protocols ◽  
Fundamental Limitation

The dynamical Casimir effect (DCE) manifests itself in the ultrastrong matter-field coupling (USC) regime, as a consequence of the nonadiabatic change of some parameters of a system. We show that the DCE is a fundamental limitation for standard quantum protocols based on quantum Rabi oscillations, implying that new schemes are required to implement high-fidelity ultrafast quantum gates. Our results are illustrated by means of a paradigmatic quantum communication protocol, i.e., quantum state transfer.

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

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 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.

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