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Coherent control of matter waves using mechanical action of electromagnetic field displays quantum duality at work. Deflecting, focussing and trapping the matter wave or de Broglie wave using optical fields lead us to develop tools to manipulate the matter waves. The emerging field provides a playground to study the newer effects of quantum coherence and quantum interference. The expansion of this area in last three decades has enabled us to store atoms and cool them to temperatures as low as micro kelvin scale and beyond, leading to experimental realization of Bose-Einstein condensation (BEC) and of Fermi degeneracy in ultra-cold. With a focus on graduate students and young researchers, this book discusses the topics that lay the foundation stones of interaction of ultra-cold atoms with optical potentials.
Key Features:
- It is developed keeping in view latest experimental advancements
- It puts light on newer theoretical advancement
- Explains the text though definitions, and useful diagrams
- Provides necessary examples and problems for the students
- It is simple in language, slender, and not voluminous
Prologue
Acknowledgment
Author biographies
1 Introduction and overview
2 Characterization of optical fields
3 Atom–field interaction
4 Scattering of atoms by light waves
5 Band formation in optical lattices
6 Interacting atoms in optical lattices
7 Forces on atoms in exponentially varying fields
8 Atoms in multi-dimensional systems
9 Periodic in time force on atoms
10 Atoms in periodically modulated optical lattices—I
11 Atoms in periodically modulated optical lattices—II
12 Atoms in twinkling evanescent wave fields
13 Nano-opto-mechanics
14 Hybrid opto-mechanics
Appendix A: Unitary operators A-1
Appendix B: Representations and transformations B-1
Appendix C: General solution of dispersion relation C-1
Epilogue