The generation of photons in a three dimensional rectangular cavity with two moving boundaries is studied by using the Multiple Scale Analysis (MSA). It is shown that number of photons are enhanced for the cavity whose walls oscillate symmetrically with respect to the center of the cavity. The non-stationary Casimir effect is also discussed for the cavity which oscillates as a whole.
We investigate fast frictionless expansion for growing Bose–Einstein condensates described by the Gross–Pitaevskii gain equation. We show that fast frictionless expansion can be generalized to a condensate continuously replenished by pumping from the reservoir. We apply our formalism to the harmonically trapped condensate and an optical lattice.
The resonant scalar particle generation for a swinging cavity resonator in the Casimir vacuum is examined. It is shown that the number of particles grows exponentially when the cavity rotates at some specific external frequency.
We consider a particle in an oscillating cavity and in a rotating cavity in the context of moving boundary problems in quantum physics. We use the multiple-scale analysis method to solve the Schrödinger equation subject to oscillating and rotating boundary conditions. We obtain an analytic expression for transition probabilities and compare the transition times.
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