Topic
Parametric oscillator
About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.
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TL;DR: In this article, the authors studied the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency and proposed an approximate analytic solution to the time dependent Ermakov equation for a step function.
56 citations
TL;DR: In this article, the frequency response of an electromechanical oscillator was measured while being parametrically pumped by double frequency modulations to the effective spring constant via the piezoelectric effect.
Abstract: The frequency response of an electromechanical oscillator was measured while being parametrically pumped by double frequency modulations to the effective spring constant via the piezoelectric effect. A 13dB gain in the resonance amplitude was observed by increasing the pump power where further increase was limited by parametric excitation of the fundamental mode. Concurrently, the coherent amplification resulted in the quality factor of the resonance also being enhanced by ∼2.5 times. The on-chip degenerate piezoelectric parametric amplification demonstrated here could be implemented in nanoelectromechanical oscillators to bypass the detrimental effects of size minimization.
56 citations
TL;DR: A high power, efficient, and tunable laser source in the 8-10 microm range, based on a ZnGeP(2) optical parametric oscillator (OPO) pumped by a hybrid 2.1 microm laser is demonstrated.
Abstract: A high power, efficient, and tunable laser source in the 8–10 µm range, based on a ZnGeP2 optical parametric oscillator (OPO) pumped by a hybrid 2.1 µm laser is demonstrated. The hybrid laser consists of a Q-switched Ho:YAG laser pumped by a 15 W CW thulium fiber laser. With 8.9 W of 2.1 µm pump power we obtained 0.95 W at 8 µm with an M2- value of 2.7 from an OPO with two walk-off compensating crystals.
55 citations
TL;DR: In this paper, the time evolution operator for a general linearly driven parametric quantum oscillator is constructed for a collinear collision of an atom with a diatomic molecule.
Abstract: The time‐evolution operator is explicitly constructed for a general linearly driven parametric quantum oscillator, equivalent to a harmonic oscillator driven by linear plus quadratic potentials. The method is based on an algebra of operators which are bilinear in the position and momentum operators, and form a closed set with respect to commutation. The obtained result requires only integrals over time and the solution of two coupled first order linear differential equations related to the classical equations of motion. The model is used to obtain vibration‐translation probabilities in a collinear collision of an atom with a diatomic molecule. Numerical calculations have been performed for systems with several mass combinations and potential parameters. Approximation methods are compared, and criteria are established to determine when it is necessary to go beyond the popular linearly driven harmonic oscillator.
55 citations
TL;DR: In this paper, a leaky cavity is designed via the insertion of a dispersive mirror into a larger ideal cavity (the reservoir), and the number of produced particles is calculated using response theory as well as a nonperturbative approach.
Abstract: The phenomenon of particle creation within an almost resonantly vibrating cavity with losses is investigated for the example of a massless scalar field at finite temperature. A leaky cavity is designed via the insertion of a dispersive mirror into a larger ideal cavity (the reservoir). In the case of parametric resonance the rotating wave approximation allows for the construction of an effective Hamiltonian. The number of produced particles is then calculated using response theory as well as a nonperturbative approach. In addition, we study the associated master equation and briefly discuss the effects of detuning. The exponential growth of the particle numbers and the strong enhancement at finite temperatures found earlier for ideal cavities turn out to be essentially preserved. The relevance of the results for experimental tests of quantum radiation via the dynamical Casimir effect is addressed. Furthermore, the generalization to the electromagnetic field is outlined.
55 citations