Statistical Methods in Quantum Optics 2: Non-Classical Fields [Paperback]

This second volume of Howard Carmichaels work continues the development of the methods used in quantum optics to treat open quantum systems and their fluctuations. Its early chapters build upon the phase-space methods introduced in Volume 1. Written on a level suitable for debut researchers or students in an advanced course in quantum optics, or a course in quantum mechanics or statistical physics that deals with open quantum systems.

Statistical Methods in Quantum Optics 2 - Non-Classical Fields continues the development of the methods used in quantum optics to treat open quantum systems and their fluctuations. Its early chapters build upon the phase-space methods introduced in the first volume Statistical Methods in Quantum Optics 1 - Matter Equations and Fokker-Planck Equations: the difficulties these methods face in treating non-classical light are exposed, where the regime of large fluctuations  failure of the system size expansion  is shown to be particularly problematic. Cavity QED is adopted as a natural vehicle for extending quantum noise theory into this regime. In response to the issues raised, the theory of quantum trajectories is presented as a universal approach to the treatment of fluctuations in open quantum systems.

This book presents its material at a level suitable for beginning researchers or students in an advanced course in quantum optics, or a course in quantum mechanics or statistical physics that deals with open quantum systems. The text is complemented by exercises and interspersed notes that point the reader to side issues or a deeper exploration of the material presented.

The Degenerate Parametric OscillatorI: Squeezed States.- The Degenerate Parametric OscillatorII: Phase-Space Analysisinthe Small-Noise Limit.- The PositiveP Representation.- The Degenerate Parametric OscillatorIII: Phase-Space Analysis Outside the Small-Noise Limit.- Cavityl“7