A toolbox for variational quantum adiabatic algorithms is proposed that allows to combine the strengths of and approaches fast high-fidelity ground state preparation.

Non-adiabatic transitions in multilevel systems appear various fields of physics, but it is not easy to analyze their dynamics general. In this paper, we propose extend the adiabatic impulse approximation systems. This method shown be equivalent a series unitary evolutions and facilitates evaluate numerically. particular, Landau-Zener grid model Landau-Zener-St\"uckelberg-Majorana interference ...

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here, we present a classical mechanical model system exhibiting analogous behavior using two inversely tunable, strongly coupled modes of the same nanomechanical beam resonator. In the adiabatic limit, the anticrossing between the two modes is observed and the c...

An analysis of the propagation of non stationary waves in the adiabatic region of stellar interior is presented. An equation of motion with an effective potential is derived, similar to the Zerilli equation known in the propagation of gravitational waves. The Huyghens principle is violated in this case and the energy diffusion outward null cones is expected. Numerical calculations demonstrate t...

We study the Cosmic Microwave Background (CMB) anisotropies produced by cosinetype quintessence models. In our analysis, effects of the adiabatic and isocurvature fluctuations are both taken into account. For purely adiabatic fluctuations with scale invariant spectrum, we obtain a stringent constraint on the model parameters using the CMB data from COBE, BOOMERanG and MAXIMA. Furthermore, it is...

We study the Cosmic Microwave Background (CMB) anisotropies produced by cosine-type quintessence models. In our analysis, effects of the adiabatic and isocurvature fluctuations are both taken into account. For purely adiabatic fluctuations with scale invariant spectrum, we obtain a stringent constraint on the model parameters using the CMB data from COBE, BOOMERanG and MAXIMA. Furthermore, it i...