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Statistical Methods in Quantum Optics 2 Non-Classical Fields

:	Howard J. Carmichael
:	Statistical Methods in Quantum Optics 2 Non-Classical Fields
:	Springer-Verlag
:	9783540713203
:	1
:	CHF 85.90
:

:	Atomphysik, Kernphysik
:	English

:	542
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This second volume of Howard Carmichael's 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.

Howard Carmichael earned a PhD from the University of Waikato in 1977. He joined the faculty of the University of Arkansas in 1983 and moved to the University of Oregon in 1989, where he was Professor of Physics from 1991 to 2001. He is currently a member of the Physics Department at the University of Auckland where he holds the Dan Walls Chair in Theoretical Physics. He is a Fellow of the Optical Society of America, the American Physical Society, and the Royal Society of New Zealand. Professor Carmichael was the recipient in 2003 of the Max Born Award of the Optical Society of America.

	Preface	6
	Contents	10
	9 The Degenerate Parametric Oscillator I: Squeezed States	15
	9.1 Introduction	15
	9.2 Degenerate Parametric Amplification and Squeezed States	18
	9.3 The Spectrum of Squeezing	45
	10 The Degenerate Parametric Oscillator II: Phase- Space Analysis in the Small- Noise Limit	74
	10.1 Phase-Space Formalism for the Degenerate Parametric Oscillator	74
	10.2 Squeezing: Quantum Fluctuations in the Small-Noise Limit	84
	11 The Positive P Representation	108
	11.1 The Positive P Representation	109
	11.2 Miscellaneous Topics	130
	12 The Degenerate Parametric Oscillator III: Phase- Space Analysis Outside the Small- Noise Limit	146
	12.1 The Degenerate Parametric Oscillator with Adiabatic Elimination of the Pump	147
	12.2 Difficulties with the Positive P Representation	194
	13 Cavity QED I: Simple Calculations	207
	13.1 System Size and Coupling Strength	208
	13.2 Cavity QED in the Perturbative Limit	210
	13.3 Nonperturbative Cavity QED	243
	14 Many Atoms in a Cavity: Macroscopic Theory	259
	14.1 Optical Bistability: Steady-State Transmission of a Nonlinear Fabry Perot	259
	14.2 The Mean-Field Limit for a Homogeneously Broadened Two-Level Medium	265
	14.3 Relationship Between Macroscopic and Microscopic Variables	283
	14.4 Cavity QED with Many Atoms	287
	15 Many Atoms in a Cavity II: Quantum Fluctuations in the Small- Noise Limit	297
	15.1 Microscopic Model	298
	15.2 Linear Theory of Quantum Fluctuations	310
	16 Cavity QED II: Quantum Fluctuations	346
	16.1 Density Matrix Expansion for the Weak- Excitation Limit	346
	16.2 Spatial Effects	371
	16.3 Beyond Classical Trajectories plus Fuzz : Spontaneous Dressed- State Polarization	379
	17 Quantum Trajectories I: Background and Interpretation	412
	17.1 Density Operators and Scattering Records	414
	17.2 Generalizing the Bohr Einstein Quantum Jump	421
	17.3 Miscellaneous Observations	437
	18 Quantum Trajectories II: The Degenerate Parametric Oscillator	447
	18.1 Scattering Records and Photoelectron Counting	447
	18.2 Unraveling the Density Operator	457
	18.3 Physical Interpretation	476
	19 Quantum Trajectories III: More Examples	488
	19.1 Photon Scattering in the Weak-Excitation Limit	488
	19.2 Unraveling the Density Operator: Cascaded Systems	493
	19.3 Optical Spectra	508
	References	524
	Index	536