## Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and DecoherenceThis new edition gives a unique and broad coverage of basic laser-related phenomena that allow graduate students, scientists and engineers to carry out research in quantum optics and laser physics. It covers quantization of the electromagnetic field, quantum theory of coherence, atom-field interaction models, resonance fluorescence, quantum theory of damping, laser theory using both the master equation and the Langevin theory, the correlated emission laser, input-output theory with applications to non-linear optics, quantum trajectories, quantum non-demolition measurements and generation of non-classical vibrational states of ions in a Paul trap. In this third edition, there is an enlarged chapter on trapped ions, as well as new sections on quantum computing and quantum bits with applications. There is also additional material included for quantum processing and entanglement. These topics are presented in a unified and didactic manner, each chapter is accompanied by specific problems and hints to solutions to deepen the knowledge. |

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### Contents

1 | |

13 | |

24 | |

4 States of the Electromagnetic Field I | 35 |

5 States of the Electromagnetic Field II | 47 |

6 Quantum Theory of Coherence | 61 |

7 Phase Space Description | 85 |

8 AtomField Interaction | 99 |

19 Trapped Ions | 329 |

20 Decoherence | 355 |

21 Quantum Bits Entanglement and Applications | 374 |

22 Quantum Correlations | 401 |

23 Quantum Cloning and Processing | 409 |

A Operator Relations | 424 |

B The Method of Characteristics | 429 |

C Proof | 433 |

9 SystemReservoir Interactions | 115 |

10 Resonance Fluorescence | 139 |

Master Equation Approach | 157 |

Langevin Approach | 183 |

13 Quantum Noise Reduction 1 | 199 |

14 Quantum Noise Reduction 2 | 211 |

15 Quantum Phase | 230 |

16 Quantum Trajectories | 249 |

17 Atom Optics | 281 |

18 Measurements Quantum Limits and All That | 299 |

D Stochastic Processes in a Nutshell | 435 |

E Derivation of the Homodyne Stochastic Schrödinger Differential Equation | 457 |

F Fluctuations | 461 |

Applicationsof the POVM Formalism | 463 |

468 | |

I The Universal Quantum Cloning Machine | 469 |

J Hints to Solve the Problems | 475 |

481 | |

### Other editions - View all

Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum ... Miguel Orszag Limited preview - 2013 |

Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum ... Miguel Orszag Limited preview - 2007 |

### Common terms and phrases

approximation assume average beam calculate cavity Chapter classical coefficients coherent commutation condition correlation function corresponding coupling decay decoherence define density matrix density operator described detection detector differential equation diffusion distribution effect eigenvalues energy entanglement evolution example excited exp.i field fluctuations Fock Fokker–Planck equation frequency given Hamiltonian homodyne homodyne detection initial interaction picture International Publishing Switzerland Lett light master equation micromaser mode normalized number of photons Orszag parameter particle phase photon number photon statistics Phys POVM probability Publishing Switzerland 2016 QND measurement quantum jump quantum mechanical Quantum Optics quantum theory qubit Rabi frequency radiation reduced density reservoir resonance fluorescence result Schrödinger equation Scully sideband ſº solution spontaneous emission Springer International Publishing squeezed term thermal transition trapped ions two-level atom unitary variables vector wave write