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arXiv quant-ph/0604032quant-ph
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有限温度下激发态对Casimir-Polder力的贡献

Excited state contribution to the Casimir-Polder force at finite temperature

T. N. C. Mendes, C. Farina

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3 pages, 3 figures
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摘要：

利用主方程计算了有限温度下二能级原子的激发态对原子与理想导电壁相互作用势的贡献。对于低温，$\hbar ω_0/k_B T = k_0 λ_T\gg 1$，其中$ω_0 = k_0 c$是原子的跃迁频率和$λ_T$是热波长，我们表明，这种贡献是非常小的$(\propto e^{-k_0λ_T})$。然而，在相反的限制$(k_0λ_T \ll 1)$，我们表明，表达的相互作用的潜力，为所有相关的距离制度，变得完全相同的非常短的距离$(k_0 z \ll 1)$，并在真空状态的字段。

英文摘要：

Using the master equation we calculate the contribution of the excited state of a two-level atom to its interacting potential with a perfectly conducting wall at finite temperature. For low temperature, $\hbar ω_0/k_B T = k_0 λ_T\gg 1$, where $ω_0 = k_0 c$ is the transition frequency of the atom and $λ_T$ is the thermal wavelength, we show that this contribution is very small $(\propto e^{-k_0λ_T})$. In the opposite limit $(k_0λ_T \ll 1)$, however, we show that the expression for the interacting potential, for all relevant distance regimes, becomes exactly the same as that for very short distances $(k_0 z \ll 1)$ and with the field in the vacuum state.

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