Two-Mode Squeezed and Entangled Light Production in Parametric Oscillations

We investigate the statistical and quadrature squeezings, as well as the entanglement properties, of a two-mode light generated by non-degenerate parametric oscillations coupled to a two-mode squeezed vacuum reservoir, by employing the solutions of the quantum Langevin equations. It is found that the two-mode light shows the two-mode squeezing and entanglement for all values of the time. Moreover, it is observed that the squeezed vacuum reservoir and the growing amplitude of the pump mode enhance the degrees of two-mode squeezing and entanglement. We have also shown that the amounts of squeezing and entanglement are significant in a region, where the mean photon number is higher, and the photon number correlation is lower.

Parametric oscillation and amplification with gate controlled capacitor-within-capacitor

Parametric oscillators and parametric amplifiers are known for their ‘quiet’ operation and find new applications in quantum circuitry. A Capacitor-within-Capacitor (CWC) is a nested electronic element that has two components: the cell (e.g., the outer capacitor) and the gate (e.g., the inner capacitor). Here we provide analysis and experiments on diode-interfaced, CWC that exhibit parametric oscillations and parametric amplifications. By replacing the diode with a doped nano-graphene junction, we demonstrated a new structure whose doping may be electronically and chemically controlled. Advantages of these elements are in their simplicity, large relative capacitance change (of the order of 50%), separation of pump and signal channels and possibility for large integration.

A mobile Mathieu oscillator model for vibrational locomotion of a bristlebot

Terrestrial locomotion that is produced by creating and exploiting frictional anisotropy is common amongst animals such as snakes, gastropods, limbless lizards. In this paper we present a model of a bristle bot that locomotes by generating frictional anisotropy due to the oscillatory motion of an internal mass and show that this is equivalent to a stick-slip Mathieu oscillator. Such vibrational robots have been available as toys and theoretical curiosities and have seen some applications such as the well known kilobot and in pipe line inspection, but much remains unknown about this type of terrestrial locomotion. In this paper, motivated by a toy model of a bristle bot made from a toothbrush, we derive a theoretical model for its dynamics and show that its dynamics can be classified into four modes of motion : purely stick (no locomotion), slip, stick-slip and hopping. In the stick mode, the dynamics of the system are those of a nonlinear Mathieu oscillator and large amplitude resonance oscillations lead to the slip mode of motion. The mode of motion depends on the amplitude and frequency of the periodic forcing. We compute a phase diagram that captures this behavior, that is reminiscent of the tongues of instability seen in a Mathieu oscillator. The broader result that emerges in this paper is that mobile limbless continuum or soft robots can exploit high frequency parametric oscillations to generate fast and efficient terrestrial motion.