Adiabatic perturbation is shown to be singular from the exact solution of a spin-1/2 particle in a uniformly rotating magnetic field. Due to a non-adiabatic effect, its quantum trajectory on a Bloch sphere is a cycloid traced by a circle rolling along an adiabatic path. As the magnetic field rotates more and more slowly, the time-energy uncertainty, proportional to the length of the quantum tra...

The conventional formulation of the non-adiabatic (Aharonov-Anandan) phase is based on the equivalence class {eiα(t)ψ(t, ~x)} which is not a symmetry of the Schrödinger equation. This equivalence class when understood as defining generalized rays in the Hilbert space is not generally consistent with the superposition principle in interference and polarization phenomena. The hidden local gauge s...

The consistency of quantum adiabatic theorem has been doubted recently. It is shown in the present paper, that the difference between the adiabatic solution and the exact solution to the Schrödinger equation with a slowly changing driving Hamiltonian is small; while the difference between their time derivatives is not small. This explains why substituting the adiabatic solution back into Schröd...

Applying asymptotic methods to a previously derived system of ordinary differential equations, we present an analytical description of the slow ~average! dynamics of self-similar breathing pulses propagating in fiber links with dispersion management. We derive asymptotic averaged quantities ~adiabatic invariants! that characterize the stable pulse propagation. In a particular, but practically i...

The adiabatic magnetization of a superconductor is a cooling principle proposed in the 1930s, which has remained mostly unexploited so far. Here we present a detailed dynamic description of the effect, computing the achievable final temperatures as well as the process time scales for different superconductors in various regimes. We show that, although in the experimental conditions explored so ...

-The Power dissipation in conventional CMOS circuits can be minimized through adiabatic technique. By adiabatic technique dissipation in PMOS network can be minimized and some of energy stored at load capacitance can be recycled instead of dissipated as heat. But the adiabatic technique is highly dependent on parameter variation.With the help of TANNER simulations, the energy consumption is ana...

with the Department of Information and Electronic Engineering, Zhejiang University, Hangzhou 310027, People’s Republic of China. M Pedram is with the Department of Electrical Engineering-Systems, University of Southern California, Los Angeles CA 90089, USA. Adiabatic CMOS Circuit Design: Principles and Examples X. Wu, G. Hang, and M. Pedram Abstract: In view of changing the type of energy conve...