Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-28
Annals Phys.324:361-370,2009
Physics
High Energy Physics
High Energy Physics - Theory
RevTeX 4; 9 pages; 4 figures
Scientific paper
10.1016/j.aop.2008.10.012
We adopt the general formalism for analyzing evolution of gaussian states of quantized fields in time-dependent backgrounds in the Schrodinger picture (presented in detail in arXiv:0708.1233 and 0708.1237) to study the example of a spatially uniform electric field background (in a time-dependent gauge) which is kept turned on for a finite duration of time. In particular, we study the \emph{time-dependent} particle content, defined in terms of the concept of instantaneous eigenstates, and describe how it captures the time evolution of the quantized field modes. The actual particle creation process occurs over a relatively short interval in time, and the particle content saturates rather quickly. We also compare the \emph{power spectrum} of the field modes, computed in the asymptotic limit, with the corresponding situation in a cosmological de Sitter background. Particle creation under the influence of a spiked electric field localized in time, as a particular limiting case of the above general model, is also considered.
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