## Cooperative Effects in Optics, Superradiance and Phase TransitionsCooperative Effects in Optics: Superradiance and Phase Transitions presents a systematic treatment of the modern theory of cooperative optical phenomena-processes in which the behavior of many-body systems of radiators or absorbers is essentially determined by their collective interactions with each other. The book focuses on the theory of collective spontaneous radiation (superradiance) and provides a detailed physical explanation of the mechanism of collective spontaneous emission. It considers numerous models of novel nonequilibrium light-induced phase transitions in a typical quantum electronics system, including two-level atoms interacting with the radiation field and more complex systems of three-level atoms, two-bank semiconductors, and other interatomic interactions with the electrostatic and lattice displacement fields. The book uses some of these models for the interpretation of experimentally observed light-induced critical phenomena. Cooperative Effects in Optics is of great value to research workers in the field of cooperative optical phenomena, especially in the determination of the physical essence of theoretical models developed to describe cooperative effects in multi-atomic systems. |

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### Contents

Dicke theory of super radiance and some | 1 |

Operator and momentum equations | 53 |

Quantum theory of superradiance | 96 |

and spontaneous processes | 124 |

Semiclassical theory of superradiance | 158 |

Lightinduced resonance phase transitions due | 223 |

under the action of linear polarized light wave | 315 |

polarization | 334 |

Appendices | 439 |

453 | |

464 | |

### Common terms and phrases

active volume approximation assume atomic operators atomic subsystem atomic system bistability Bloch vector boundary conditions centrosymmetric coefficient coherent considered correlation corresponding decoupling density matrix dependence described determined dynamics EDTI effect electrostatic field emitted energy equations of motion excited experimental field amplitude following equation formula function Hamiltonian initial conditions instability integral of motion interatomic interaction jumplike lattice displacement levels light wave light-induced phase transition linear macroscopic matrix elements molecules obtain operator optical order parameter oscillators Pauli matrices peak intensity phase transition photon photovoltaic photovoltaic current polariton population difference population inversion pump intensity quantum number radiation field radiative decay reflection coefficients regime relaxation resonance right-hand side semiclassical semiconductor solution spatially spontaneous emission spontaneous radiation stationary Stokes Substituting superradiance superradiance pulse surface symmetry taking into account term threshold transformation transition frequency two-level atoms variables wave vector width