Wave packet dynamics in various two-dimensional systems: A unified description

Fictitious-Time Wave-Packet Dynamics in Atomic Systems

Gaussian wave packets (GWPs) are well suited as basis functions to describe the time evolution of arbitrary wave functions in systems with non-singular smooth potentials. They are rare in atomic systems on account of the singular behaviour of the Coulomb potential. We present a time-dependent variational method that makes the use of GWPs possible in the description of propagation of quantum sta...

Wave packet dynamics in atomic systems and Bose - Einstein condensates

Semiclassical description of wave packet revival.

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function ...

Extended Gaussian wave packet dynamics

Wave packet dynamics has exposed interesting new phenomena in several fields. In femto-chemistry [1,2] we are now able to time-resolve chemical processes and also observe effects such as the breakup and revival of wave packets [3]. In atom optics wave packets are used to model matter waves [4] and electron wave packets are seen in the dynamics of Rydberg atoms [5]. The numerical modelling of wa...

Symplectic semiclassical wave packet dynamics

The paper gives a symplectic-geometric account of semiclassical Gaussian wave packet dynamics. We employ geometric techniques to “strip away” the symplectic structure behind the time-dependent Schrödinger equation and incorporate it into semiclassical wave packet dynamics. We show that the Gaussian wave packet dynamics of Heller is a Hamiltonian system with respect to the symplectic structure, ...