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.

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 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.

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