Analog of cosmological particle creation in electromagnetic waveguides

Abstract

We consider an electromagnetic waveguide with a time-dependent propagation speed $v(t)$ as an analog for cosmological particle creation. In contrast to most previous studies which focus on the number of particles produced, we calculate the corresponding two-point correlation function. For a small step-like variation $\delta v(t)$, this correlator displays characteristic signatures of particle pair creation. As another potential advantage, this observable is of first order in the perturbation $\delta v(t)$, whereas the particle number is second order in $\delta v(t)$ and thus stronger suppressed for small $\delta v(t)$.

arXiv comment9 pages; content re-structured, appendix added, further references included

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• Particle creation in the spin modes of a dynamically oscillating two-component Bose-Einstein condensate
• Non-perturbative signatures of non-linear Compton scattering
• Chiral SQUID-metamaterial waveguide for circuit-QED
• Particle scattering in a sonic analogue of special relativity
• A note on analogue semi-classical gravity in (1+1) dimensions
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• Simulating superluminal propagation of Dirac particles using trapped ions
• Entangling continuous variables with a qubit array