Adiabatic Time Evolution in Spin-Systems
Quantum Physics
2009-11-10 v1
Abstract
Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems. These processes are of current interest in the treatment of cold atoms in optical lattices and in Adiabatic Quantum Computation. We determine the probability that, during an adiabatic passage starting from the ground state, states with higher energy are excited.
Keywords
Cite
@article{arxiv.quant-ph/0309026,
title = {Adiabatic Time Evolution in Spin-Systems},
author = {V. Murg and J. I. Cirac},
journal= {arXiv preprint arXiv:quant-ph/0309026},
year = {2009}
}
Comments
11 pages, 9 EPS figures