The adiabatic theorem provides the basis for the adiabatic model of quantum computation. Recently the conditions required for the adiabatic theorem to hold have become a subject of some controversy. Here we show that the reported violations of the adiabatic theorem all arise from resonant transitions between energy levels. In the absence of fast driven oscillations the traditional adiabatic the...

The atomic recombination process leads to a softening of the matter equation of state as reflected by a reduced generalized adiabatic index, with accompanying heat release. We study the effects of this recombination softening and reheating of the cosmic plasma on the ionization history, visibility function, Cold Dark Matter (CDM) transfer function, and the Cosmic Microwave Background (CMB) spec...

We study annihilation radiation of neutralinos in the Galactic centre, assuming the existence of a ’spike’ in the dark matter density profile, due to adiabatic accretion onto the massive black hole lying at the Galactic centre. Under this assumption we find that it is possible to reproduce the observed SgrA* emission at radio and gamma-ray frequencies in a consistent scenario with a magnetic fi...

Air trench structure for reduced-size bends in low ( n=0.01-0.1) and medium ( n=0.1-0.3) index contrast waveguides is proposed. Local high index contrast at bends is achieved by introducing air trenches. An air trench bend consists of cladding tapers to avoid junction loss, providing adiabatic mode shaping between low and high index contrast regions. Drastic reduction in effective bend radius i...

ABSTRACT The rate of subsonic wind accretion (accretion on a point Newtonian mass moving through uniform gas) is shown to be independent the velocity and equal spherical Bondi – for adiabatic index 5/3. A (very accurate) numerical calculation flow, confirming this result, also presented.

If an adiabatic density perturbation is responsible for large scale structure and the cmb anisotropy, its spectral index n will be measured in the forseeable future with an accuracy ∆n ∼ .01. This is precisely the kind of accuracy required to distinguish between many models of inflation. Most of them have an inflationary potential V ≃ V0(1 ± μφp) with the constant term dominating. Except for 0 ...

The non-adiabatic frequencies of a standard solar model are discussed in this paper. The physics describing the radiative losses is included in the non-adiabatic effects.An asymptotic approximation to the non-adiabatic non-radial p-modes of the Sun is developed. An exact solution of non-adiabatic oscillations, which results in an eigenfrequency equation with the model-dependent surface phase sh...

Frequency-modulated (FM) pulses that function according to adiabatic principles are becoming increasingly popular in many areas of NMR. Often adiabatic pulses can extend experimental capabilities and minimize annoying experimental imperfections. Here, adiabatic principles and some of the current methods used to create these pulses are considered. The classical adiabatic rapid passage, which is ...