Recently, Marzlin and Sanders (2004) demonstrated an inconsistency when the adiabatic approximation was applied to specific, ”inverse” time-evolving systems. Following that, Tong et al. (2005) showed that the widely used traditional adiabatic conditions are insufficient to guarantee the validity of the adiabatic approximation for this class of systems. In this article we explore the origin of t...

Efficiency of adiabatic circuits is determined by the adiabatic and non-adiabatic losses incurred by them during the charging and recovery operations. Lesser be the losses more energy efficient would be the circuit. In this paper, a new approach i.e., Complementary Energy Path Adiabatic Logic (CEPAL), is presented to minimize power dissipation in quasi static energy recovery logic (QSERL). It o...

-In recent years, low power circuit design has been an important issue in System on Chip (SoC) and VLSI design areas. Adiabatic logics, which dissipate less power than static CMOS logic, have been introduced as a promising new approach in low power circuit design. Adiabatic circuits are those circuits which work on the principle of adiabatic charging and discharging and which recycle the energy...

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

We show that a collection of two-level atoms in an optical cavity beyond the rotating wave approximation and in the dispersive-adiabatic and non-dispersive adiabatic regime constitutes a nonlinear medium and is capable of generating squeezed state of light. It is found that squeezing produced in the non-dispersive adiabatic regime is significantly high compared to that produced in the dispersiv...

Symmetries play important roles in mathematics, physics and mechanics. Since Noether unveiled the profound relations between symmetries and conservation laws, many researches on them were done [1–15]. Recently, symmetry theories have been extended to discrete mechanics and equations [16–25]. As we know, even tiny changes in symmetry, named as perturbation to symmetry, are of great importance fo...

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...