dorsal/arxiv
View SchemaTheory of quantum radiation observed as sonoluminescence
| Authors | Claudia Eberlein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506024 |
| URL | https://arxiv.org/abs/quant-ph/9506024 |
| DOI | 10.1103/PhysRevA.53.2772 |
| Journal | Phys.Rev.A53:2772-2787,1996 |
Abstract
Sonoluminescence is explained in terms of quantum radiation by moving interfaces between media of different polarizability. In a stationary dielectric the zero-point fluctuations of the electromagnetic field excite virtual two-photon states which become real under perturbation due to motion of the dielectric. The sonoluminescent bubble is modelled as an optically empty cavity in a homogeneous dielectric. The problem of the photon emission by a cavity of time-dependent radius is handled in a Hamiltonian formalism which is dealt with perturbatively up to first order in the velocity of the bubble surface over the speed of light. A parameter-dependence of the zero-order Hamiltonian in addition to the first-order perturbation calls for a new perturbative method combining standard perturbation theory with an adiabatic approximation. In this way the transition amplitude from the vacuum into a two-photon state is obtained, and expressions for the single-photon spectrum and the total energy radiated during one flash are given both in full and in the short-wavelengths approximation when the bubble is larger than the wavelengths of the emitted light. It is shown analytically that the spectral density has the same frequency-dependence as black-body radiation; this is purely an effect of correlated quantum fluctuations at zero temperature. The present theory clarifies a number of hitherto unsolved problems and suggests explanations for several more. Possible experiments that discriminate this from other theories of sonoluminescence are proposed.
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"abstract": "Sonoluminescence is explained in terms of quantum radiation by moving\ninterfaces between media of different polarizability. In a stationary\ndielectric the zero-point fluctuations of the electromagnetic field excite\nvirtual two-photon states which become real under perturbation due to motion of\nthe dielectric. The sonoluminescent bubble is modelled as an optically empty\ncavity in a homogeneous dielectric. The problem of the photon emission by a\ncavity of time-dependent radius is handled in a Hamiltonian formalism which is\ndealt with perturbatively up to first order in the velocity of the bubble\nsurface over the speed of light. A parameter-dependence of the zero-order\nHamiltonian in addition to the first-order perturbation calls for a new\nperturbative method combining standard perturbation theory with an adiabatic\napproximation. In this way the transition amplitude from the vacuum into a\ntwo-photon state is obtained, and expressions for the single-photon spectrum\nand the total energy radiated during one flash are given both in full and in\nthe short-wavelengths approximation when the bubble is larger than the\nwavelengths of the emitted light. It is shown analytically that the spectral\ndensity has the same frequency-dependence as black-body radiation; this is\npurely an effect of correlated quantum fluctuations at zero temperature. The\npresent theory clarifies a number of hitherto unsolved problems and suggests\nexplanations for several more. Possible experiments that discriminate this from\nother theories of sonoluminescence are proposed.",
"arxiv_id": "quant-ph/9506024",
"authors": [
"Claudia Eberlein"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"doi": "10.1103/PhysRevA.53.2772",
"journal_ref": "Phys.Rev.A53:2772-2787,1996",
"title": "Theory of quantum radiation observed as sonoluminescence",
"url": "https://arxiv.org/abs/quant-ph/9506024"
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