Periodic Fluctuations in a Fabry-Perot Cavity in Resonance with a Reservoir of Two-level Atoms

Abstract

The Maxwell equations for the field in a cavity are modified to include the effect of irradiation by a reservoir of two-level atoms. A canonical treatment of the time-dependent field modes leads to predictions of the changes in the electric and magnetic field intensities, and in the photon statistics, for sufficiently small times. Coherent states evolve to squeezed states. The frequency converter and possible resonance phenomena are discussed.

Squeezing induced in a harmonic oscillator by a sudden change in mass or frequency

“…Squeezing and antisqueezing as discussed in Refs. [15] and [17] are indeed possible, but they are extremely small (thirdorder) effects. However, there is a distinct possibility of technical application in a highly sensitive device.…”

Wide localized solitons in systems with time- and space-modulated nonlinearities

“…Such kind of problem is consecrated in the literature of the time-dependent Schrödinger equation concerning the analysis of dissipative effects in quantum fluctuations. Moreover, such systems have found real-world applications in quantum optics [15] and plasma physics [16]. Among the approaches applied to solve the Schrödinger equation for the time-dependent (driven) oscillator, one resorts to point canonical transformations on the coordinates and a rescaling of the time in such a way that the problem can be transformed into a Schrödinger equation for the harmonic oscillator with constant frequency [17].…”