Book contents
- Frontmatter
- Contents
- Acknowledgements
- 1 Introduction
- 2 Field quantization
- 3 Coherent states
- 4 Emission and absorption of radiation by atoms
- 5 Quantum coherence functions
- 6 Beam splitters and interferometers
- 7 Nonclassical light
- 8 Dissipative interactions and decoherence
- 9 Optical test of quantum mechanics
- 10 Experiments in cavity QED and with trapped ions
- 11 Applications of entanglement: Heisenberg-limited interferometry and quantum information processing
- Appendix A The density operator, entangled states, the Schmidt decomposition, and the von Neumann entropy
- Appendix B Quantum measurement theory in a (very small) nutshell
- Appendix C Derivation of the effective Hamiltonian for dispersive (far off-resonant) interactions
- Appendix D Nonlinear optics and spontaneous parametric down-conversion
- Index
- References
10 - Experiments in cavity QED and with trapped ions
Published online by Cambridge University Press: 05 September 2012
- Frontmatter
- Contents
- Acknowledgements
- 1 Introduction
- 2 Field quantization
- 3 Coherent states
- 4 Emission and absorption of radiation by atoms
- 5 Quantum coherence functions
- 6 Beam splitters and interferometers
- 7 Nonclassical light
- 8 Dissipative interactions and decoherence
- 9 Optical test of quantum mechanics
- 10 Experiments in cavity QED and with trapped ions
- 11 Applications of entanglement: Heisenberg-limited interferometry and quantum information processing
- Appendix A The density operator, entangled states, the Schmidt decomposition, and the von Neumann entropy
- Appendix B Quantum measurement theory in a (very small) nutshell
- Appendix C Derivation of the effective Hamiltonian for dispersive (far off-resonant) interactions
- Appendix D Nonlinear optics and spontaneous parametric down-conversion
- Index
- References
Summary
In this chapter, we discuss two more experimental realizations of quantum optical phenomena, namely the interaction of an effective two-level atom with a quantized electromagnetic field in a high Q microwave cavity, the subject usually referred to as cavity QED, or sometimes CQED, and in the quantized motion of a trapped ion. Strictly speaking, these experiments are not optical, but they do realize interactions of exactly the type that are of interest in quantum optics, namely the Jaynes–Cummings interaction between a two-level system (an atom) and a bosonic degree of freedom, a single-mode cavity field in the case of a microwave cavity, and a vibrational mode of the center-of-mass motion of a trapped ion, the quanta being phonons in this case. We shall begin with a description of the useful properties of the so-called Rydberg atoms that are used in the microwave CQED experiments, proceed to discuss some general considerations of the radiative behavior of atoms in cavities, the CQED realization of the Jaynes–Cummings model, and then discuss the use of the dispersive, highly off-resonant, version of the model to generate superpositions of coherent states, i.e. the Schrödinger cat states of the type discussed in Chapters 7 and 9 for traveling wave optical fields but this time for a microwave cavity field. Finally, we discuss the realization of the Jaynes–Cummings interaction in the vibrational motion of a trapped ion.
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- Introductory Quantum Optics , pp. 238 - 262Publisher: Cambridge University PressPrint publication year: 2004