dorsal/arxiv
View SchemaPulse-driven near-resonant quantum adiabatic dynamics: lifting of quasi-degeneracy
| Authors | L. P. Yatsenko, S. Guerin, H. R. Jauslin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312080 |
| URL | https://arxiv.org/abs/quant-ph/0312080 |
| DOI | 10.1103/PhysRevA.70.043402 |
Abstract
We study the quantum dynamics of a two-level system driven by a pulse that starts near-resonant for small amplitudes, yielding nonadiabatic evolution, and induces an adiabatic evolution for larger amplitudes. This problem is analyzed in terms of lifting of degeneracy for rising amplitudes. It is solved exactly for the case of linear and exponential rising. Approximate solutions are given in the case of power law rising. This allows us to determine approximative formulas for the lineshape of resonant excitation by various forms of pulses such as truncated trig-pulses. We also analyze and explain the various superpositions of states that can be obtained by the Half Stark Chirped Rapid Adiabatic Passage (Half-SCRAP) process.
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"abstract": "We study the quantum dynamics of a two-level system driven by a pulse that\nstarts near-resonant for small amplitudes, yielding nonadiabatic evolution, and\ninduces an adiabatic evolution for larger amplitudes. This problem is analyzed\nin terms of lifting of degeneracy for rising amplitudes. It is solved exactly\nfor the case of linear and exponential rising. Approximate solutions are given\nin the case of power law rising. This allows us to determine approximative\nformulas for the lineshape of resonant excitation by various forms of pulses\nsuch as truncated trig-pulses. We also analyze and explain the various\nsuperpositions of states that can be obtained by the Half Stark Chirped Rapid\nAdiabatic Passage (Half-SCRAP) process.",
"arxiv_id": "quant-ph/0312080",
"authors": [
"L. P. Yatsenko",
"S. Guerin",
"H. R. Jauslin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.043402",
"title": "Pulse-driven near-resonant quantum adiabatic dynamics: lifting of quasi-degeneracy",
"url": "https://arxiv.org/abs/quant-ph/0312080"
},
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