
An Introduction to Quantum Optics
Description
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Pitched at undergraduate students, this book introduces the quantum statistical methods used in quantum physics. Beginning with an introduction on quantum optics and open quantum physics, the book reviews classical electromagnetism and linear optics, and quantum mechanics, before moving on to examine two level dynamics, quantum electromagnetic fields, and two-level atoms coupled to quantized fields. Later chapters discuss coherence and detection and the density matrix, before ending with quantum trajectory theory and quasiprobability distributions. Classroom tested and developed over the course of 30 years, this book is written in a simplified, tutorial format for better understanding of complex concepts. It is an essential guide for any students beginning their studies in quantum physics.
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Person
Perry Rice earned a BS in physics at Wright State University in 1981. After two years in industry, he went to graduate school and earned a PhD in physics at the University of Arkansas in 1988. He went on to become a professor of physics at Miami University for 30 years, and most recently is a senior research scientist at Azimuth Corporation. His research has been primarily in quantum optics and physics pedagogy, with specialties in cavity/waveguide quantum electrodynamics, nonclassical light, strongly coupled atom-field systems, quantum statistical mechanics, and computational methods including quantum trajectory theory.
Content
- Intro
- Preface
- Acknowledgments
- Author biography
- Perry Rice
- Chapter 1 Introduction
- 1.1 What is quantum optics
- 1.2 Open quantum systems
- 1.3 This book
- References
- Chapter 2 Classical electromagnetism and linear optics
- 2.1 Maxwell equations and electromagnetic waves
- 2.2 Wave equation for fields in a medium
- 2.3 Slowly varying envelope approximation
- 2.4 Lorentz oscillator model of the atom
- References
- Chapter 3 QM review
- 3.1 Wave mechanics
- 3.2 Dirac notation
- 3.3 Representations and pictures
- 3.4 Pictures
- 3.5 Density matrix
- 3.6 Choice of basis and measurement
- 3.7 Executive summary
- 3.8 Entanglement
- References
- Chapter 4 Two-level dynamics
- 4.1 Two-level atoms
- 4.2 Atom-field interaction in the electric dipole approximation
- 4.3 Introduction to dressed states
- 4.4 Perturbation theory and rate equations
- 4.5 Pauli operators and the Bloch sphere representation
- 4.6 Relation to the classical Lorentz model
- 4.7 An interlude in the form of the atom-field interaction
- References
- Chapter 5 Quantum fields
- 5.1 Maxwell equations again
- 5.2 Quantization of the electromagnetic field
- 5.3 Single mode quantized fields
- 5.4 Number states
- 5.5 Coherent states
- 5.6 Squeezed states
- 5.7 Cat states
- 5.8 Thermal states
- 5.9 Vacuum fluctuations and beam splitters
- 5.10 Casimir effect
- References
- Chapter 6 Two-level atom coupled to a quantized field
- 6.1 Atom-field interaction in quantum optics
- 6.2 Wigner-Weisskopf approximation
- 6.3 Cavity modified spontaneous emission
- 6.4 Dressed states reprise
- 6.5 Heisenberg equations of motion
- 6.6 Collapse and revivals of population inversion
- 6.7 Vacuum fluctuations and radiation reaction
- References
- Chapter 7 Coherence and detection
- 7.1 Detection of a noiseless classical signal
- 7.2 Complex analytic signal
- 7.3 Semiclassical photodetection theory
- 7.4 Quantum detection theory
- 7.5 Optical spectra and first-order coherence
- 7.6 Photon statistics and second-order coherence
- 7.7 Balanced homodyne detection and the spectrum of squeezing
- 7.8 Wave-particle duality and conditioned homodyne detection
- 7.9 Cross-correlation functions
- References
- Chapter 8 The density matrix and the master equation or wave functions: the big lie
- 8.1 Open quantum systems
- 8.2 Density matrix and reduced density matrix
- 8.3 The master equation with dissipation
- 8.4 Quantum regression theorem
- 8.5 Derivation of the master equation in the Born-Markoff approximation
- 8.6 Other types of reservoirs
- 8.7 Alternative derivation of Lindblad equation
- References
- Chapter 9 Quantum trajectory theory
- 9.1 Some examples
- 9.2 And now for a little formality
- 9.3 Homodyne detection and quantum state diffusion
- 9.4 Two-time averages
- 9.5 Some final thoughts on trajectories
- References
- Chapter 10 Quasiprobability distributions
- 10.1 Glauber-Sudarshan P representation
- 10.2 Wigner distribution
- 10.3 Husimi Q function
- 10.4 Fokker-Planck equations
- 10.5 Fermions
- 10.6 Langevin equations
- References
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