Adiabatic Product Expansion
Quantum Physics
2009-10-30 v1 High Energy Physics - Theory
Abstract
The time-evolution operator for an explicitly time-dependent Hamiltonian is expressed as the product of a sequence of unitary operators. These are obtained by successive time-dependent unitary transformations of the Hilbert space followed by the adiabatic approximation at each step. The resulting adiabatic product expansion yields a generalization of the quantum adiabatic approximation. Furthermore, it leads to an infinite class of exactly solvable models.
Cite
@article{arxiv.quant-ph/9606032,
title = {Adiabatic Product Expansion},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:quant-ph/9606032},
year = {2009}
}
Comments
uuencoded LaTeX file, 8 pages