|
| related topics |
| {force, casimir, field} |
| {temperature, thermal, energy} |
| {level, atom, field} |
| {time, decoherence, evolution} |
| {equation, function, exp} |
| {cos, sin, state} |
| {observables, space, algebra} |
|
Casimir-Polder forces from density matrix formalism
T. N. C. Mendes, C. Farina
abstract: We use the density matrix formalism in order to calculate the energy level
shifts, in second order on interaction, of an atom in the presence of a
perfectly conducting wall in the dipole approximation. The thermal corrections
are also examined when $\hbar \omega_0/k_B T = k_0 \lambda_T \gg 1$, where
${$\omega_0=k_0 c$}$ is the dominant transition frequency of the atom and
$\lambda_T$ is the thermal length. When the distance $z$ between the atom and
the wall is larger than $\lambda_T$ we find the well known result obtained from
Lifshitz's formula, whose leading term is proportional to temperature and is
independent of $c$, $\hbar$ and $k_0$. In the short distance limit, when
$z\ll\lambda_T$, only very small corrections to the leading vacuum term occur.
We also show, for all distance regimes, that the main thermal corrections are
independent of $k_0$ (dispersion is not important) and dependent of $c$, which
means that there is not a non-retarded regime for the thermal contributions.
- oai_identifier:
- oai:arXiv.org:quant-ph/0604033
- categories:
- quant-ph
- comments:
- 11 pages, 3 figures
- doi:
- 10.1088/0305-4470/39/21/S51
- arxiv_id:
- quant-ph/0604033
- created:
- 2006-04-05
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