Sentence examples for free evolution from inspiring English sources

An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity.

In our analysis, we give a detailed study of the crucial spacetime estimate associated to the free evolution operator.

The main ingredient in the proof is the L4−L2 Strichartz inequality for the free evolution which fails in the purely periodic setting.

The features of the free evolution trajectory of the non-Markovian systems and the state transfer from a pure state to a desired pure state under the action of the proposed control laws are studied, respectively.

We show that under the same orthogonality conditions, the remaining |t|−n2A0 term also exists as a map from L1(Rn) to L∞(Rn), hence eitHPac(H) satisfies the same dispersive bounds as the free evolution despite the eigenvalue at zero.

This new approach incorporates the constraint equations directly and therefore is principally different from standard analyses of well-posedness of free evolution schemes.

In this regime, higher input frequencies evoke stronger depolarizations, which in turn result in free evolutions of greater amplitude and hence greater discriminability.

An ideal flicker-free evolution could be achieved with infinitesimal change of Δk, but it would then take infinite time to transport atoms.

Divergence-free evolution of the magnetic field is maintained using the higher order-accurate constrained transport technique of Gardiner and Stone.

In this paper we present a full-fledged scheme for the second-order accurate, divergence-free evolution of vector fields on an adaptive mesh refinement (AMR) hierarchy.

The electric field correction strategy helps preserve the divergence-free evolution of the magnetic field even when the time steps are subcycled on refined meshes.