Numerical approach to simulating interference phenomena in a cavity with two oscillating mirrors

Abstract

We study photon creation in a cavity with two perfectly conducting moving mirrors. We derive the dynamic equations of the modes and study different situations concerning various movements of the walls, such as translational or breathing modes. We can even apply our approach to one or three dimensional cavities and reobtain well known results of cavities with one moving mirror. We compare the numerical results with analytical predictions and discuss the effects of the intermode coupling in detail as well as the non perturbative regime. We also study the time evolution of the energy density as well and provide analytic justifications for the different results found numerically.

Relativistic bands in the discrete spectrum of created particles in an oscillating cavity

“…2, corresponding to the case with L 0 = 1 (ω 0 = 2π), one can see an agreement between N app (circles) and N exa (crosses). In addition, both results are in agreement with numerical ones found by Ruser 29 (other numerical approaches to solve DCE problems have also been developed [30][31][32][33][34] ). We also verified agreement between N exa [Eq.…”

Fifty Years of the Dynamical Casimir Effect

“…For other approaches to solving equations like (28), see, e.g., [99,125,126]. Recently, these equations were solved numerically in the 1D and 3D cases, for one and two moving boundaries, in the study [127].…”

The quantum Otto cycle in a superconducting cavity in the non-adiabatic regime

“…L 0 is a function of time, that we will denote t) . In this scenario, one may impose Dirichlet boundary conditions at both ends of the cavity, say Φ(0, t) = Φ(L(t), t) = 0 [20][21][22]. In fact, it has been demonstrated that non stationary boundary conditions effects in a cavity can be implemented in a circuit QED system [23,24].…”