The Quantum Theory of Light

The Quantum Theory of Light
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DOI:
10.1080/716099348
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发表时间:
1974-09
影响因子:
1.3
通讯作者:
R. Sillitto
R. Sillitto
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
R. Sillitto

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(b)假设光场相互作用V = -μ 12 Eei ωt + c. c,写出ρ11,ρ22,ρ12和ρ21随时间变化的方程。夫妇只有水平|1>和|2>,激发态呈现自发衰变。(8分)(c)在稳态条件下,求出状态中的人口比例|2>和|3>。(3个标记)(d)求出偏振的缓慢变化的振幅<$ρ12 ρ12 =<$ρ 12 e iωt。(6分)(e)在从中间水平不可能衰减的极限情况下|3>,基态粒子数ρ11(∞)是多少?(2分)2. (15总分)在强场作用下的二能级原子系统中,修饰态以以下形式产生|D1(n)> = sin θ| 1,n> + cos θ| 2,n-1>| D2(n)> = cos θ| 1,n> sin θ| 2,n-1>
(b) Write out the equations for the time dependence of ρ11, ρ22, ρ12 and ρ21 assuming that a light field interaction V = -μ12Ee iωt + c.c. couples only levels |1> and |2>, and that the excited levels exhibit spontaneous decay. (8 marks) (c) Under steady-state conditions, find the ratio of populations in states |2> and |3>. (3 marks) (d) Find the slowly varying amplitude ̃ ρ 12 of the polarization ρ12 = ̃ ρ 12e iωt . (6 marks) (e) In the limiting case that no decay is possible from intermediate level |3>, what is the ground state population ρ11(∞)? (2 marks) 2. (15 marks total) In a 2-level atom system subjected to a strong field, dressed states are created in the form |D1(n)> = sin θ |1,n> + cos θ |2,n-1> |D2(n)> = cos θ |1,n> sin θ |2,n-1>