I= NON LINEAR EFFECTS OF SINGLE ATOM IN TWO-PHOTON PROCESSION
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Title of Thesis
NON LINEAR EFFECTS OF SINGLE ATOM IN TWO-PHOTON PROCESSION
Author(s)
Mian Muhammad Ashraf
Institute/University/Department Details
Department of Physics/ Quaid-i-Azam University, Islamabad
Session
1995
Subject
Physics
Number of Pages
149
Keywords (Extracted from title, table of contents and abstract of thesis)
non linear effects, two-photon procession, nondegenerate two-photon jaynes-cummings model, high-q cavity, time evolution operator, effective dipole squeezing, transient resonance fluorescence

Abstract
Non-linear effects of a single atom in two-photon processes inside a high-Q cavity are examined. The interaction of a single two-level atom with two different modes of quantized field is represented by a nondegenerate two-photon Jaynes-Cummings Model (NTPJCM). By developing a time evolution operator U(t, O), Effective Dipole Squeezing (EDS) is investigated. EDS, under different physical conditions and various initial fields and their intensities, is discussed with the help of two-dimensional graphs.

Fluorescence studies in transient regime require that spectra in two-photon processes be investigated. We emphasize that a nondegenerate version of the two-photon laser could be constructed through "dressed atoms" rather than "bare atoms" as active medium. Dressed atomic states are the energy eigenstates of the atom. We calculate the spectra of the nondegenerate two-photon process in a "dressed-atom approach", first in the microwave and then in the optical region. We use the two-time correlation function of atomic dipole operators for the former case and that of field operators for the latter case.

We generalize and highlight two-photon processes in A-type three level atom, focusing on its quantum beat and correlated emission regimes. Certain nonclassical effects of radiation emitted by the atom and the role of correlated and uncorrelated photons are thoroughly discussed with the help of three-dimensional graphs.
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4813.91 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 Contents
158.8 KB
2 1 Introduction
338.83 KB
  1.1 Generalizations Of Jaynes -Cummings Model 1
  1.2 Advent Of A Two-Photon Laser 3
  1.3 Transient Resonance Fluorescence 4
  1.4 Spectra In Transient Regime 6
  1.5 Generalization Of Two-Photon Processes 6
3 2 Effective Dipole Squeezing (EDS) In The Nondegenerate Two-Photon Jaynes -Cummings Model (NTPJCM)
591.09 KB
  2.1 Introduction 10
  2.2 General Squeezing Criterion 10
  2.3 Atomic Dipole Squeezing 12
  2.4 EDS In The NTPJCM 14
  2.5 Concluding Remarks 40
4 3 Spectra Of The NTPJCM
430.12 KB
  3.1 Introduction 42
  3.2 The Time Dependent Spectrum Of Light 42
  3.3 Dressed State Interpretation Of The NTPJCM 49
  3.4 Emission Spectra Of The NTPJCM 51
  3.5 Cavity Field Spectra Of The NTPJCM 61
  3.6 Concluding Remarks 71
5 4 Emission Spectra Of Generalization Two-Photon Processes
719.25 KB
  4.1 Introduction 73
  4.2 Description And Simplification Of The Model 73
  4.3 A-Type Quantum-Beat Three-Level Atomic System 77
  4.4 A-Type Correlated Emission Three-Level Atomic System 89
  4.5 Concluding Remarks 100
6 5 Conclusion 102
2383.39 KB
  5.1 Reprints
  5.2 References