Coherent Population Trapping Resonances in Cs Atomic Vapor Layers of Micrometric Thickness

Table 1

Calculated values for ¹³³Cs: vapor pressure 𝑃, atomic density 𝜌, most probable Cs atomic velocity 𝜈, collision rate 𝑟_{𝑐𝑜𝑙𝑙}, mean free path between the collision of two Cs atoms 𝜆, time between two atomic collisions 𝜏_𝑖𝑛𝑡 with the cell wall (having 𝑑: the thin-cell window diameter), time between two atom collisions 𝜏_{𝑐𝑜𝑙𝑙}, and the number of collisions 𝑛_{𝑐𝑜𝑙𝑙𝐶𝑠} Cs-Cs during a complete flight along the cell diameter 𝑑.

	𝑇1 = 120°C = 393 K	𝑇2 = 34°C = 307 K
P (Pa)	0.254695 Pa	0.42∗10^−3 Pa
𝜌 (cm^−3)	4.44∗10^13 cm^−3	9.022∗10^10 cm^−3
𝜈^_=2𝑘𝐵𝑇/𝑀 (m/s)	221.7 m/s	196.01 m/s
𝑟coll=𝑃(𝑇)/(𝑘𝐵𝑇𝜎𝜈𝑘^_) (1/s)	9.84∗10^6 1/s	1.8∗10^4 1/s
𝜆=𝜈^_/𝑟coll (m)	22.5∗10^−6 m	9.8∗10^−3 m
𝜏int=𝑑/𝑣 (s)	4.5∗10^−5 s	5∗10^−5 s
𝜏coll=𝜆/𝑣 (s)	1∗10^−7 s	5∗10^−5 s
𝑛collCs=𝜏int/𝜏coll	450	1