

Title of Thesis
EFFECTS OF COOPERATIVE ATOMIC INTERACTIONS IN A SINGLEMODE LASER 
Author(s)
Sajid Mahmood 
Institute/University/Department Details
Department of Physics/ QuaidiAzam University, Islamabad 
Session
1989 
Subject
Physics 
Number of Pages
144 
Keywords (Extracted from title, table of contents and abstract of thesis)
cooperative atomic interactions, singlemode laser, highq cavity, scullylamb theory, photon number fluctuations, twolevel atoms, natural linewidth, elements density matrix, photon statistics 
Abstract An analysis of cooperative atomic interaction in atomfield interaction is presented. A complete exact solution to the problem of two twolevel atoms interaction with a singlemode quantized radiation field, in a highQ cavity, is given. Effects of cooperation on total population inversion of two atoms as well as on the population inversion of single atom in the presence of another atom are studied. Interaction of two twolevel atoms with a vacuum field in a damped cavity is studied. Numerical solutions are presented and it is shown that for asymmetric coupling there are significant effect on the dynamics of atomic inversion. It is also shown that in contrast with symmetric atomfield coupling case, there is a retention of energy by the atom when the other atom couples with different strength. An extension of ScullyLamb theory is made by the inclusion of cooperative atomic interactions. In particular, the single and twoatom interactions with the field are included. A nonperturbative treatment is used to examine the effects of cooperative atomic interactions on the photon statistics in a singlemode laser. It is shown that cooperative interactions do increase the photon number fluctuations. Our results are valid for all range of laser parameters. Effect of cooperative interactions is analysed on the natural linewidth of a singlemode laser. It is shown that cooperative interactions tend to decrease the natural linewidth under certain conditions.






S. No. 
Chapter 
Title of the Chapters 
Page 
Size (KB) 





1 
0 
Contents 

193.32 KB 





2 
1 
Introduction 

166.32 KB 

1.1 
Interaction Of TwoLevel Atoms With A SingleMode Field 
2 

1.2 
Photon Statistics 
6 

1.3 
Natural Linewidth 
8 





3 
2 
Cooperative Atomic Interactions In A HighQ Cavity 

284.56 KB 

2.1 
Introduction 
11 

2.2 
JaynesCummings Model 
12 

2.3 
Interaction Of Two Atoms With A SingleMode Radiation Field 
15 

2.4 
Atomic Population Inversion 
22 

2.5 
Discussion 
26 





4 
3 
Cooperative Effects On Rabi Oscillations In A Damped Cavity 

217.05 KB 

3.1 
Introduction 
32 

3.2 
Single Atom In A Damped Cavity 
33 

3.3 
Equation Of Motion For The Elements Density Matrix 
34 

3.4 
Numerical Results 
38 

3.5 
Conclusions 
44 





5 
4 
Effect Of Cooperative Atomic Interactions On The Photon Statistics Of A SingleMode Laser 

145.98 KB 

4.1 
Introduction 
47 

4.2 
ScullyLamb Model 
48 

4.3 
Cooperative Effects In A SingleMode Laser 
50 

4.4 
Photon Statistics 
58 

4.5 
Discussion 
60 





6 
5 
Effect Of Cooperative Atomic Interactions On Natural Linewidth Of A SingleMode Laser 

802.91 KB 

5.1 
Introduction 
62 

5.2 
Spontaneous Emission And Natural Linewidth 
63 

5.3 
Natural Linewidth In ScullyLamb Model 
68 

5.4 
Effect Of Cooperative Atomic Interactions On Laser Linewidth 
70 

5.5 
Results And Discussion 
76 





7 
6 
References 
79 
604.37 KB 

6.1 
Appendixes 
83 





