dorsal/arxiv
View SchemaFundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results
| Authors | Stefan Giller, Cezary Gonera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009108 |
| URL | https://arxiv.org/abs/quant-ph/0009108 |
| DOI | 10.1103/PhysRevA.63.052101 |
Abstract
A method of fundamental solutions has been used to investigate transitions in two energy level systems with no level crossing in a real time. Compact formulas for transition probabilities have been found in their exact form as well as in their adiabatic limit. No interference effects resulting from many level complex crossings as announced by Joye, Mileti and Pfister (Phys. Rev. {\bf A44} 4280 (1991)) have been detected in either case. It is argued that these results of this work are incorrect. However, some effects of Berry's phases are confirmed.
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"abstract": "A method of fundamental solutions has been used to investigate transitions in\ntwo energy level systems with no level crossing in a real time. Compact\nformulas for transition probabilities have been found in their exact form as\nwell as in their adiabatic limit. No interference effects resulting from many\nlevel complex crossings as announced by Joye, Mileti and Pfister (Phys. Rev.\n{\\bf A44} 4280 (1991)) have been detected in either case. It is argued that\nthese results of this work are incorrect. However, some effects of Berry\u0027s\nphases are confirmed.",
"arxiv_id": "quant-ph/0009108",
"authors": [
"Stefan Giller",
"Cezary Gonera"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.63.052101",
"title": "Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results",
"url": "https://arxiv.org/abs/quant-ph/0009108"
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