dorsal/arxiv
View SchemaTwo-level systems: exact solutions and underlying pseudo-supersymmetry
| Authors | V. V. Shamshutdinova, Boris F. Samsonov, D. M. Gitman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606195 |
| URL | https://arxiv.org/abs/quant-ph/0606195 |
| DOI | 10.1016/j.aop.2006.05.004 |
| Journal | Ann. Phys. (NY) 322 (2007) 1043--1061 |
Abstract
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.
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"abstract": "Chains of first-order SUSY transformations for the spin equation are studied\nin detail. It is shown that the transformation chains are related with a\nolynomial pseudo-supersymmetry of the system. Simple determinant formulas for\nthe final Hamiltonian of a chain and for solutions of the spin equation are\nderived. Applications are intended for a two-level atom in an electromagnetic\nfield with a possible time-dependence of the field frequency. For a specific\nform of this dependence, the time oscillations of the probability to populate\nthe excited level disappear. Under certain conditions this probability becomes\na function tending monotonously to a constant value which can exceed 1/2.",
"arxiv_id": "quant-ph/0606195",
"authors": [
"V. V. Shamshutdinova",
"Boris F. Samsonov",
"D. M. Gitman"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2006.05.004",
"journal_ref": "Ann. Phys. (NY) 322 (2007) 1043--1061",
"title": "Two-level systems: exact solutions and underlying pseudo-supersymmetry",
"url": "https://arxiv.org/abs/quant-ph/0606195"
},
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