scholarly journals Simple model for the dynamical Casimir effect for a static mirror with time-dependent properties

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Hector O. Silva ◽  
C. Farina
Keyword(s):  
Simple Model ◽  
Casimir Effect ◽  
Time Dependent ◽  
Dynamical Casimir Effect

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 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.

scholarly journals QUANTUM-CIRCUIT ANALOG OF THE DYNAMICAL CASIMIR EFFECT AT FINITE TEMPERATURES

2012 ◽  
Vol 14 ◽  
pp. 445-449
Author(s):  
SHIGEMASA MATSUO ◽  
TOSHIYUKI FUJII ◽  
NORIYUKI HATAKENAKA
Keyword(s):  
Harmonic Oscillator ◽  
Casimir Effect ◽  
Probability Distributions ◽  
Boundary Effect ◽  
Quantum Circuit ◽  
Time Dependent ◽  
Occupation Probability ◽  
Circuit Qed ◽  
Dynamical Casimir Effect ◽  
Quantum Flux

We proposed a quantum-circuit analog of dynamical Casimir effect by using a superconducting quantum circuit. The proposed system can be regarded as a time-dependent harmonic oscillator, resulting in squeezing of a quantum flux trapped in the system. Here we develop our theory taking into account finite temperatures, in order to contact with experiments like circuit-QED. We present numerical results of occupation probability distributions produced by non-stationary boundary effect at various temperatures.

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

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.

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