On the spontaneous emission of electromagnetic radiation in the CSL model

Abstract

Spontaneous photon emission in the Continuous Spontaneous Localization (CSL) model is studied one more time. In the CSL model each particle interacts with a noise field that induces the collapse of its wave function. As a consequence of this interaction, when the particle is electrically charged, it radiates. As discussed in [1], the formula for the emission rate, to first perturbative order, contains two terms: One is proportional to the Fourier component of the noise field at the same frequency as that of the emitted photon and one is proportional to the zero Fourier component of the noise field. As discussed in previous works, this second term seems unphysical. In [1], it was shown that the unphysical term disappears when the noises is confined to a bounded region and the final particle's state is a wave packet. Here we investigate the origin of the unphysical term and why it vanishes according to the previous prescription. For this purpose, the electrodynamic part of the equation of motion is solved exactly while the part due to the noise is treated perturbatively. We show that the unphysical term is connected to exponentially decaying function of time which dies out in the large time limit, however, approximates to 1 in the first perturbative order in the electromagnetic field.

10 pages, 1 figure, LaTeX

References in corpus (4)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• Collapse models with non-white noises
• Photon emission rate from atomic systems in the CSL model

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• Testing Continuous Spontaneous Localization with Fermi liquids
• Unitary unravelling for the Dissipative Continuous Spontaneous Localization model: application to optomechanical experiments
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• A Quantum Spectrometer for Arbitrary Noise
• Non-interferometric rotational test of the Continuous Spontaneous Localisation model: enhancement of the collapse noise through shape optimisation
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