Two-level systems: exact solutions and underlying pseudo-supersymmetry
量子物理
2009-11-13 v1
摘要
Chains of first-order SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a olynomial pseudo-supersymmetry of the system. Simple determinant formulas for the final Hamiltonian of a chain and for solutions of the spin equation are derived. Applications are intended for a two-level atom in an electromagnetic field with a possible time-dependence of the field frequency. For a specific form of this dependence, the time oscillations of the probability to populate the excited level disappear. Under certain conditions this probability becomes a function tending monotonously to a constant value which can exceed 1/2.
引用
@article{arxiv.quant-ph/0606195,
title = {Two-level systems: exact solutions and underlying pseudo-supersymmetry},
author = {V. V. Shamshutdinova and Boris F. Samsonov and D. M. Gitman},
journal= {arXiv preprint arXiv:quant-ph/0606195},
year = {2009}
}
备注
to be published in Ann. Phys. (NY), 6 figures, 17 pages