|
| related topics |
| {equation, function, exp} |
| {level, atom, field} |
| {cos, sin, state} |
| {energy, state, states} |
| {let, theorem, proof} |
| {wave, scattering, interference} |
| {light, field, probe} |
|
Exact Solution for a Two-Level Atom in Radiation Fields and the Freeman
Resonances
Dong-Sheng Guo, Yong-Shi Wu, Linn Van Woerkom
abstract: Using techniques of complex analysis in an algebraic approach, we solve the
wave equation for a two-level atom interacting with a monochromatic light field
exactly. A closed-form expression for the quasi-energies is obtained, which
shows that the Bloch-Siegert shift is always finite, regardless of whether the
original or the shifted level spacing is an integral multiple of the driving
frequency, $\omega$. We also find that the wave functions, though finite when
the original level spacing is an integral multiple of $\omega$, become
divergent when the intensity-dependent shifted energy spacing is an integral
multiple of the photon energy. This result provides, for the first time in the
literature, an ab-initio theoretical explanation for the occurrence of the
Freeman resonances observed in above-threshold ionization experiments.
- oai_identifier:
- oai:arXiv.org:quant-ph/0509135
- categories:
- quant-ph physics.atom-ph physics.optics
- comments:
- 24 pages, no figure; v2 typos corrected
- arxiv_id:
- quant-ph/0509135
- created:
- 2005-09-20
- updated:
- 2005-09-22
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