Abstract:We present the study of parametric resonance in a one-dimensional cavity based on the analysis of classical optical paths. The recursive formulas for field energy are given. We separate the mechanism of particle production and the resonance amplification of radiation. The production of photons is a purely quantum effect described in terms of quantum anomalies in recursive formulas. The resonance enhancement is a classical phenomenon of focusing and amplifying beams of photons due to Döppler effect.
“…, with the same function g(ξ) (15). It was shown in [68,[85][86][87] that, for q ≥ 2, the energy density grows exponentially in the form of q traveling wave packets, which become narrower and higher as time increases. The total energy also grows exponentially.…”
Section: Generation Of Quanta Inside the 1d Cavity With Moving Boundarymentioning
This is a digest of the main achievements in the wide area, called the Dynamical Casimir Effect nowadays, for the past 50 years, with the emphasis on results obtained after 2010.
“…, with the same function g(ξ) (15). It was shown in [68,[85][86][87] that, for q ≥ 2, the energy density grows exponentially in the form of q traveling wave packets, which become narrower and higher as time increases. The total energy also grows exponentially.…”
Section: Generation Of Quanta Inside the 1d Cavity With Moving Boundarymentioning
This is a digest of the main achievements in the wide area, called the Dynamical Casimir Effect nowadays, for the past 50 years, with the emphasis on results obtained after 2010.
“…n (τ ) are to be determined from the retardation relations T ⋆ n (τ ) + L(T ⋆ n (τ )) = T n (τ ). The parametric resonance is related to the existence of periodic particle trajectories [8,11]. Each periodic trajectory obeys a following condition (for any non-negative integer n):…”
Section: A Cavity With One Oscillating Wallmentioning
confidence: 99%
“…It is usually assumed that T /2 refers to the length of the static cavity, so that T /2 ≡ L ≡ L(0). The crucial characteristic of a particle trajectory is the cumulative Doppler factor [8]:…”
Section: A Cavity With One Oscillating Wallmentioning
confidence: 99%
“…Another idea based on a concept of renormalization group was proposed in [6,7]. Our suggestion [8] is to trace the evolution of the quantum fields in a vibrating cavity system following classical optical paths. It is related to the iteration procedure described in [9] and techniques developed for classical field theory in [10] and [11].…”
Section: Introductionmentioning
confidence: 99%
“…In the present paper, we apply our technique [8] to examine cavities with various kinds of their motion and different types of boundary conditions. The calculations are involved in determining the essential physical outcome.…”
We recently proposed a new approach to analyze the parametric resonance in a vibrating cavity based on the analysis of classical optical paths. This approach is used to examine various models of cavities with moving walls. We prove that our method is useful to extract easily basic physical outcome.
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