This book provides a solid pedagogical background in the techniques used in quantum optics, with an emphasis on open quantum systems. Suitable for undergraduates as a second semester quantum mechanics course or first-year graduate students, this book begins with a short summary of quantum mechanics and contains physics of open systems and their application to light/matter interactions. Written in a simplified manner and classroom tested, this book provides the fundamentals of quantum optics and includes recent developments in the field.
Key Features
- Solid introduction to the key features of the field
- Excellent first exposure to nonequilibrium quantum statistical mechanics
- Developed from 30 years of teaching
- Includes recent developments in the field
Author(s): Perry Rice
Series: IOP Series in Emerging Technologies in Optics and Photonics
Publisher: IOP Publishing
Year: 2020
Language: English
Pages: 300
City: Bristol
PRELIMS.pdf
Preface
Acknowledgments
Author biography
Perry Rice
CH001.pdf
Chapter 1 Introduction
1.1 What is quantum optics
1.2 Open quantum systems
1.3 This book
References
CH002.pdf
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
CH003.pdf
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
CH004.pdf
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
CH005.pdf
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
CH006.pdf
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
CH007.pdf
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
CH008.pdf
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
CH009.pdf
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
CH010.pdf
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
