You are previewing Essential Quantum Optics.
O'Reilly logo
Essential Quantum Optics

Book Description

Covering some of the most exciting trends in quantum optics - quantum entanglement, teleportation, and levitation - this textbook is ideal for advanced undergraduate and graduate students. The book journeys through the vast field of quantum optics following a single theme: light in media. A wide range of subjects are covered, from the force of the quantum vacuum to astrophysics, from quantum measurements to black holes. Ideas are explained in detail and formulated so that students with little prior knowledge of the subject can follow them. Each chapter ends with several short questions followed by a more detailed homework problem, designed to test the reader and show how the ideas discussed can be applied. Solutions to homework problems are available at www.cambridge.org/9780521869782.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Dedication
  5. Contents
  6. Acknowledgements
  7. 1. Introduction
    1. 1.1 A note to the reader
    2. 1.2 Quantum theory
      1. 1.2.1 Axioms
      2. 1.2.2 Quantum statistics
      3. 1.2.3 Schrödinger and Heisenberg pictures
    3. 1.3 On the questions and homework problems
    4. 1.4 Further reading
  8. 2. Quantum field theory of light
    1. 2.1 Light in media
      1. 2.1.1 Maxwell’s equations
      2. 2.1.2 Quantum commutator
    2. 2.2 Light modes
      1. 2.2.1 Modes and their scalar product
      2. 2.2.2 Bose commutation relations
      3. 2.2.3 Interference
      4. 2.2.4 Monochromatic modes
    3. 2.3 Zero-point energy and Casimir force
      1. 2.3.1 An attractive cavity
      2. 2.3.2 Reflections
    4. 2.4 Questions
    5. 2.5 Homework problem
    6. 2.6 Further reading
  9. 3. Simple quantum states of light
    1. 3.1 The electromagnetic oscillator
    2. 3.2 Single-mode states
      1. 3.2.1 Quadrature states
      2. 3.2.2 Fock states
      3. 3.2.3 Thermal states
      4. 3.2.4 Coherent states
    3. 3.3 Uncertainty and squeezing
    4. 3.4 Questions
    5. 3.5 Homework problem
    6. 3.6 Further reading
  10. 4. Quasiprobability distributions
    1. 4.1 Wigner representation
      1. 4.1.1 Wigner’s formula
      2. 4.1.2 Basic properties
      3. 4.1.3 Examples
    2. 4.2 Other quasiprobability distributions
      1. 4.2.1 Q function
      2. 4.2.2 P function
      3. 4.2.3 s-parameterized quasiprobability distributions
    3. 4.3 Examples
    4. 4.4 Questions
    5. 4.5 Homework problem
    6. 4.6 Further reading
  11. 5. Simple optical instruments
    1. 5.1 Beam splitter
      1. 5.1.1 Heisenberg picture
      2. 5.1.2 Schrödinger picture
      3. 5.1.3 Fock representation and wave–particle dualism
    2. 5.2 Detection
      1. 5.2.1 Photodetector
      2. 5.2.2 Balanced homodyne detection
      3. 5.2.3 Quantum tomography
      4. 5.2.4 Simultaneous measurement of conjugate variables
    3. 5.3 Questions
    4. 5.4 Homework problem
    5. 5.5 Further reading
  12. 6. Irreversible processes
    1. 6.1 Lindblad’s theorem
      1. 6.1.1 Irreversibility
      2. 6.1.2 Reversible dynamics
      3. 6.1.3 Irreversible dynamics
    2. 6.2 Loss and gain
      1. 6.2.1 Absorption and amplification
      2. 6.2.2 Absorber
      3. 6.2.3 Amplifier
      4. 6.2.4 Eavesdropper
    3. 6.3 Continuous quantum measurements
    4. 6.4 Questions
    5. 6.5 Homework problem
    6. 6.6 Further reading
  13. 7. Entanglement
    1. 7.1 Parametric amplifier
      1. 7.1.1 Heisenberg picture
      2. 7.1.2 Schrödinger picture
      3. 7.1.3 Einstein–Podolski–Rosen state
      4. 7.1.4 Quantum teleportation
    2. 7.2 Polarization correlations
      1. 7.2.1 Singlet state
      2. 7.2.2 Polarization
      3. 7.2.3 Bell’s theorem
    3. 7.3 Questions
    4. 7.4 Homework problem
    5. 7.5 Further reading
  14. 8. Horizons
    1. 8.1 Minkowski space
      1. 8.1.1 Locality and relativity
      2. 8.1.2 Space–time geometry
      3. 8.1.3 Light
    2. 8.2 Accelerated observers
      1. 8.2.1 Rindler coordinates
      2. 8.2.2 Accelerated modes
      3. 8.2.3 Unruh effect
    3. 8.3 Moving media
      1. 8.3.1 Motivation
      2. 8.3.2 Trans-Planckian problem
      3. 8.3.3 Light in moving media
      4. 8.3.4 Geometry of light
      5. 8.3.5 Hawking radiation
    4. 8.4 Questions
    5. 8.5 Homework problem
    6. 8.6 Further reading
  15. Appendix A: Stress of the quantum vacuum
  16. Appendix B: State reconstruction in quantum mechanics
  17. References
  18. Index