## A Group-Theoretical Approach to Quantum Optics: Models of Atom-Field InteractionsWritten by major contributors to the field who are well known within the community, this is the first comprehensive summary of the many results generated by this approach to quantum optics to date. As such, the book analyses selected topics of quantum optics, focusing on atom-field interactions from a group-theoretical perspective, while discussing the principal quantum optics models using algebraic language. The overall result is a clear demonstration of the advantages of applying algebraic methods to quantum optics problems, illustrated by a number of end-of-chapter problems. An invaluable source for atomic physicists, graduates and students in physics. |

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### Contents

Quantized Electromagnetic Field | 45 |

Models of AtomField Interactions | 71 |

Copyright 2009 WILEYVCH Verlag GmbH Co KGaA Weinheim | 83 |

Collective Interactions | 113 |

Atomic Systems in a Strong Quantum Field | 143 |

Quantum Systems Beyond the Rotating Wave Approximation | 189 |

Models with Dissipation | 217 |

Quasidistributions in Quantum Optics | 237 |

Appendices | 279 |

315 | |

321 | |

### Other editions - View all

A Group-Theoretical Approach to Quantum Optics Andrei B. Klimov,Sergei M. Chumakov No preview available - 2009 |

### Common terms and phrases

amplitude applying atomic inversion atomic operators atomic system atomic transition average number basis Bloch vector Casimir operator classical field coefficients collapses and revivals commutation relations corresponding deﬁned density matrix diagonal Dicke model dispersive limit distribution dynamics effective Hamiltonian eigenstates eigenvalues eigenvectors energy levels evolution operator factor ﬁeld field mode ﬁnd ﬁrst ﬂuctuations form H Heff Hilbert space humps initial atomic initial coherent initial conditions integral of motion interaction Hamiltonian Kerr medium Let us consider Lie algebra linear matrix elements nonlinear number of atoms number of excitations number of photons obtain operator Sz phase operator phase space photon number quantized Quantum Optics quantum system Rabi frequency resonance condition rotating Rotating Wave Approximation satisfy small parameter spectrum squeezing strong field subalgebra subspace subsystems superposition transformation two-level atoms unitary vacuum vector wave function Wigner function zero