Dynamical Casimir effect and photon generation process in time dependent quantum graph

2020 ◽  
Author(s):  
Ekaterina S. Trifanova ◽  
Alexander I. Trifanov ◽  
Igor S. Lobanov ◽  
Dmitrii S. Nikiforov ◽  
Igor Y. Popov
Keyword(s):  
Casimir Effect ◽  
Quantum Graph ◽  
Time Dependent ◽  
Generation Process ◽  
Dynamical Casimir Effect ◽  
Photon Generation

Model of time-dependent geometric graph for dynamical Casimir effect

2020 ◽  
Author(s):  
I. S. Lobanov ◽  
D. S. Nikiforov ◽  
I. Y. Popov ◽  
A. I. Trifanov ◽  
E. S. Trifanova
Keyword(s):  
Casimir Effect ◽  
Geometric Graph ◽  
Time Dependent ◽  
Dynamical Casimir 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 Electro-mechanical Casimir effect

Quantum ◽  
2018 ◽  
Vol 2 ◽  
pp. 91 ◽  
Author(s):  
Mikel Sanz ◽  
Witlef Wieczorek ◽  
Simon Gröblacher ◽  
Enrique Solano
Keyword(s):  
Boundary Conditions ◽  
Hybrid System ◽  
Casimir Effect ◽  
Superconducting Cavity ◽  
Mechanical Resonator ◽  
Dynamical Casimir Effect ◽  
Acoustic Resonators ◽  
Film Bulk Acoustic Resonators ◽  
Film Bulk ◽  
Photon Generation

The dynamical Casimir effect is an intriguing phenomenon in which photons are generated from vacuum due to a non-adiabatic change in some boundary conditions. In particular, it connects the motion of an accelerated mechanical mirror to the generation of photons. While pioneering experiments demonstrating this effect exist, a conclusive measurement involving a mechanical generation is still missing. We show that a hybrid system consisting of a piezoelectric mechanical resonator coupled to a superconducting cavity may allow to electro-mechanically generate measurable photons from vacuum, intrinsically associated to the dynamical Casimir effect. Such an experiment may be achieved with current technology, based on film bulk acoustic resonators directly coupled to a superconducting cavity. Our results predict a measurable photon generation rate, which can be further increased through additional improvements such as using superconducting metamaterials.

scholarly journals ROTATING WAVE APPROXIMATION OF THE LAW'S EFFECTIVE HAMILTONIAN ON THE DYNAMICAL CASIMIR EFFECT

2013 ◽  
Vol 11 (01) ◽  
pp. 1450003 ◽  
Author(s):  
KAZUYUKI FUJII ◽  
TATSUO SUZUKI
Keyword(s):  
Approximate Solution ◽  
Schrodinger Equation ◽  
Casimir Effect ◽  
General Setting ◽  
Time Dependent ◽  
Effective Hamiltonian ◽  
Dynamical Casimir Effect ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rotating Wave

In this paper, we treat the Law's effective Hamiltonian of the dynamical Casimir effect (DCE) in a cavity and construct an analytic approximate solution of the time-dependent Schrödinger equation under the general setting through a kind of rotating wave approximation (RWA). To the best of our knowledge this is the finest analytic approximate solution.

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