Time-dependent quantum damped oscillator with ‘minimal noise’: application to the nonstationary Casimir effect in nonideal cavities

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.

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Nonstationary Casimir Effect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries

Advances in Chemical Physics - Modern Nonlinear Optics, Part I ◽

10.1002/0471231479.ch7 ◽

2003 ◽

pp. 309-394 ◽

Cited By ~ 58

Author(s):

V. V. Dodonov

Keyword(s):

Analytical Solutions ◽

Casimir Effect ◽

Moving Boundaries ◽

Quantum Fields ◽

Nonstationary Casimir Effect

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Remarks on the Abraham–Minkowski problem, in relation to recent radiation pressure experiments

International Journal of Modern Physics A ◽

10.1142/s0217751x19410033 ◽

2019 ◽

Vol 34 (28) ◽

pp. 1941003 ◽

Cited By ~ 1

Author(s):

Iver Brevik

Keyword(s):

Radiation Pressure ◽

Present Note ◽

Casimir Effect ◽

Surface Forces ◽

Electromagnetic Energy ◽

Time Dependent ◽

Minkowski Problem ◽

Focus Attention ◽

Dielectric Surfaces ◽

Lorentz Forces

The classic electromagnetic energy–momentum problem in matter (usually called the Abraham–Minkowski problem) has attracted increased interest, as is natural in relation to the several impressive radiation pressure experiments that have appeared recently. Our intention with the present note is to focus attention on some of these results, and also to give a warning against premature interpretations of the observations. One sees often in the literature that the observable deflections of dielectric surfaces are interpreted so as to mean that the so-called Abraham term is a chief ingredient. Usually this is not so, however. Most of the experimental results are actually explainable by the surface forces at the dielectric surfaces, eventually augmented by Lorentz forces in the interior, and do not involve the Abraham momentum as such. For concreteness we focus mainly on a simplified version of the experiment of Kundu et al. (2017), but extend the analysis somewhat by including time-dependent resonance phenomena. In a short appendix we discuss also the connection with the Casimir effect.

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TIME-DEPENDENT ROBIN BOUNDARY CONDITIONS IN THE DYNAMICAL CASIMIR EFFECT

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194512007428 ◽

2012 ◽

Vol 14 ◽

pp. 306-315 ◽

Cited By ~ 8

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.

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