Extended Gaussian wave packet dynamics
B. M. Garraway
Abstract
We examine an extension to the theory of Gaussian wave packet dynamics in a one-dimensional potential by means of a sequence of time dependent displacement and squeezing transformations. Exact expressions for the quantum dynamics are found, and relationships are explored between the squeezed system, Gaussian wave packet dynamics, the time dependent harmonic oscillator, and wave packet dynamics in a Gauss-Hermite basis. Expressions are given for the matrix elements of the potential in some simple cases. Several examples are given, including the propagation of a non-Gaussian initial state in a Morse potential.
Create a lesson
Related papers
Optical atomic clocks on all-optical atom chips
Yuri B. Ovchinnikov
Local polarization control of optical tweezer arrays
Xiangkai Sun, Richard Bing-Shiun Tsai, Andrew Winnicki et al.
Response of the near-threshold resonances of the dtμ molecular ion to an effective atomic 2s--2p splitting
Yi Zhang
Disorder-induced nuclear-transition doublet at nominally cubic 229Th sites
Andrei Derevianko
A scanning cavity for large area coherent coupling in atom interferometry
D. O. Sabulsky, Q. Beaufils, A. Bertoldi et al.
A solid-state nuclear clock based on VUV absorption spectroscopy of 229Th
Pengfei Wang, Xu-Fei Yin, Hanlin Wang et al.