Quantum adiabatic computation has attracted a lot of attention in the past decades, such as [1, 3–10], since it was proposed by Farhi et al.[11]. In [5], an adiabatic algorithm was proposed to solve the Deutsch-Jozsa problem. The algorithm took an exponential time which provided only a quadratic speed up over the best classical algorithm for the problem. A modified algorithm proposed by Wei and...

We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our findings, which lie beyond traditional critical exponent analysis and adiabatic perturbation approximations, are applicable even where excitations have not yet stabilized ...

Data collected in situ with the Meteo-France Merlin-IV instrumented aircraft during the EUCREX mission 206 are analyzed to document cloud properties that are relevant to the calculation of cloud radiative properties. Ascents and descents through the cloud layer reveal that Ž . most of the vertical profiles of liquid water content LWC and droplet sizes are close to adiabatic profiles. Analysis o...

A loss in smoothness of a switching process decreases the accuracy of an adiabatic invariant. Here we show that for classical Hamiltonian systems the degree of smoothness can be observed in the signal.

We consider a supersymmetric grand unified model which leads to hybrid inflation and solves the strong CP and μ problems via a Peccei-Quinn symmetry, with the Peccei-Quinn field acting as a curvaton generating together with the inflaton the curvature perturbation. The model yields an isocurvature perturbation too of mixed correlation with the adiabatic one. Two choices of parameters are confron...