TY - BOOK AU - Saif,Farhan AU - Watanabe,Shinichi ED - Institute of Physics (Great Britain), TI - Optical forces on atoms T2 - [IOP release $release] SN - 9780750323086 AV - QC446.2 .S256 2023eb PY - 2023///] CY - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) PB - IOP Publishing KW - Quantum optics KW - Atoms KW - Atomic & molecular physics KW - bicssc KW - SCIENCE / Physics / Atomic & Molecular KW - bisacsh N1 - "Version: 20231101"--Title page verso; Includes bibliographical references; 1. Introduction and overview -- 1.1. Historical background -- 1.2. Structure of the book; 2. Characterization of optical fields -- 2.1. Electromagnetic field modes in vacuum -- 2.2. Quantization of electromagnetic field modes -- 2.3. Quantized electromagnetic fields -- 2.4. Quantum distribution functions; 3. Atom-field interaction -- 3.1. Atom-field interaction -- 3.2. Optical lattices -- 3.3. Interaction of an atom with an optical lattice; 4. Scattering of atoms by light waves -- 4.1. Kapitza-Dirac scattering -- 4.2. Bragg scattering -- 4.3. Talbot effect -- 4.4. Cooling of atoms; 5. Band formation in optical lattices -- 5.1. Quantized dynamics -- 5.2. Bloch theorem -- 5.3. Energy bands -- 5.4. Bloch states for optical lattices -- 5.5. Wannier states -- 5.6. Formation of bands -- 5.6..1 Kronig-Penney model -- 5.7. Band formation for optical lattices : tight-binding picture; 6. Interacting atoms in optical lattices -- 6.1. An atom in an optical lattice -- 6.2. Constant external forcing -- 6.3. Wannier-Stark states and the Wannier-Stark ladder -- 6.4. Bloch oscillations -- 6.5. Beyond the tight-binding approximation : the Landau-Zener transition -- 6.6. Many-body effects of ultra-cold atoms in an optical lattice -- 6.7. Bose-Hubbard model -- 6.8. Fermi-Hubbard model; 7. Forces on atoms in exponentially varying fields -- 7.1. Mirrors, cavities, and interferometers -- 7.2. Bouncing atom on an atomic trampoline -- 7.3. Space-time evolution : quantum carpets -- 7.4. Quantum revivals -- 7.5. Nano optical-fiber cavities; 8. Atoms in multi-dimensional systems -- 8.1. The state of a system -- 8.2. Integrable systems -- 8.3. Nearly integrable systems -- 8.4. Kicked-rotator model -- 8.5. Poincar�e surface of sections -- 8.6. Arnold diffusion -- 8.7. Lyapunov exponent -- 8.8. Secular theory for non-linear resonances -- 8.9. Quantum scars; 9. Time-periodic force on atoms -- 9.1. Floquet analysis -- 9.2. Floquet-Bloch solution -- 9.3. Einstein-Brillouin-Keller quantization -- 9.4. Quantization near non-linear resonances; 10. Atoms in modulated optical lattices--I -- 10.1. Phase-modulated optical lattice -- 10.2. Time evolution -- 10.3. Floquet-Bloch solution -- 10.4. Dispersion relation -- 10.5. Bloch acceleration and group velocity -- 10.6. Effective mass -- 10.7. Dynamical localization -- 10.8. Dynamical de-localization -- 10.9. Ratchet effect : Brownian motors; 11. Atoms in modulated optical lattices--II -- 11.1. Linear force on optical lattices -- 11.2. Modulated optical lattice -- 11.3. Mechanical action of light on atoms -- 11.4. Chaos-assisted tunneling -- 11.5. Inter-band transitions; 12. Atoms in modulated evanescent wave fields -- 12.1. Wave packet dynamics -- 12.2. Quantum recurrences -- 12.3. Quantum recurrences as a probe to study quantum chaos -- 12.4. Classical period and quantum revival time : interdependence -- 12.5. Fermi acceleration modes -- 12.6. Non-dispersive accelerated matter waves; 13. Nano-opto-mechanics -- 13.1. Fabry-P�erot cavity with moving end-mirror -- 13.2. Time evolution in opto-mechanics -- 13.3. Bistability in opto-mechanics -- 13.4. Linearized equations of motion -- 13.5. Opto-mechanical crystals; 14. Hybrid opto-mechanics -- 14.1. Ultra-cold atoms in an opto-mechanical cavity -- 14.2. Quantum suppression of classical diffusion -- 14.3. Input-output formalism -- 14.4. Induced transparency and four-wave mixing -- 14.5. Super-luminality and sub-luminality; Appendix A. Unitary operators -- Appendix B. Representations and transformations -- Appendix C. General solution of dispersion relation; Graduate students and researchers; Also available in print N2 - Coherent control of matter waves using mechanical action of an electromagnetic field displays quantum duality at work. Deflecting, focusing 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 the 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 atoms. 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 UR - https://iopscience.iop.org/book/mono/978-0-7503-2308-6 ER -