Quantum Logic Approach to Wave Packet Control

Quantum wave packet revivals

The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially localized quantum states which have a short-term, quasi-classical time evolution, which then can spread significantly over several orbits, only to reform later in...

Quantum wave packet ab initio molecular dynamics: an approach to study quantum dynamics in large systems.

A methodology to efficiently conduct simultaneous dynamics of electrons and nuclei is presented. The approach involves quantum wave packet dynamics using an accurate banded, sparse and Toeplitz representation for the discrete free propagator, in conjunction with ab initio molecular dynamics treatment of the electronic and classical nuclear degree of freedom. The latter may be achieved either by...

The Wave Packet -a Universal Quantum Object

We summarize the theoretical description of wave packets on molecular energy levels. We review the various quantum mechanical effects which can be studied and the models that can be verified on this system. This justifies our claim that the wave packet constitutes a universal quantum object.

Wave-packet dynamics in quantum wells.

Quantum wave packet revivals in circular billiards

Abstract We examine the long-term time-dependence of Gaussian wave packets in a circular infinite well (billiard) system and find that there are approximate revivals. For the special case of purely m = 0 states (central wave packets with no momentum) the revival time is T (m=0) rev = 8μR2/~π, where μ is the mass of the particle, and the revivals are almost exact. For all other wave packets, we ...