|
| related topics |
| {level, atom, field} |
| {cavity, atom, atoms} |
| {time, wave, function} |
| {time, systems, information} |
| {state, states, coherent} |
| {field, particle, equation} |
| {operator, operators, space} |
| {equation, function, exp} |
| {force, casimir, field} |
| {energy, state, states} |
| {state, algorithm, problem} |
|
The limits of the rotating wave approximation in the electromagnetic
field propagation in a cavity
I. Dolce, R. Passante, F. Persico
abstract: We consider three two-level atoms inside a one-dimensional cavity,
interacting with the electromagnetic field in the rotating wave approximation
(RWA), commonly used in the atom-radiation interaction. One of the three atoms
is initially excited, and the other two are in their ground state. We
numerically calculate the propagation of the field spontaneously emitted by the
excited atom and scattered by the second atom, as well as the excitation
probability of the second and third atom. The results obtained are analyzed
from the point of view of relativistic causality in the atom-field interaction.
We show that, when the RWA is used, relativistic causality is obtained only if
the integrations over the field frequencies are extended to $-\infty$; on the
contrary, noncausal tails remain even if the number of field modes is
increased. This clearly shows the limit of the RWA in dealing with subtle
problems such as relativistic causality in the atom-field interaction.
- oai_identifier:
- oai:arXiv.org:quant-ph/0512146
- categories:
- quant-ph
- comments:
- 13 pages, 6 figures
- doi:
- 10.1016/j.physleta.2006.02.018
- arxiv_id:
- quant-ph/0512146
- created:
- 2005-12-18
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