Optical forces on atoms /

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"Version: 20231101"--Title page verso.Includes bibliographical references.1. Introduction and overview -- 1.1. Historical background -- 1.2. Structure of the book2. 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 functions3. Atom-field interaction -- 3.1. Atom-field interaction -- 3.2. Optical lattices -- 3.3. Interaction of an atom with an optical lattice4. Scattering of atoms by light waves -- 4.1. Kapitza-Dirac scattering -- 4.2. Bragg scattering -- 4.3. Talbot effect -- 4.4. Cooling of atoms5. 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 picture6. 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 model7. 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 cavities8. 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 scars9. 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 resonances10. 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 motors11. 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 transitions12. 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 waves13. 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 crystals14. 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-luminalityAppendix A. Unitary operators -- Appendix B. Representations and transformations -- Appendix C. General solution of dispersion relation.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.Graduate students and researchers.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr. Farhan Saif served as the chairman, Department of Electronics, Quaid-i-Azam University (QAU, Islamabad) and as the Founding Head of Department of Physics, National University of Science and Technology. He obtained teaching and research experience at the University of Ulm, University of Arizona, University of Sao Paulo (UNESP), and University of Electro Communication, Tokyo. D.r Saif received a doctorate degree from University of Ulm, Germany in 1998. He has been an Associate Member of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. He served as a professor of Department of Physics QAU from 2016 till 2018, and is presently serving as a Tenured Professor of Electronics. Dr. Saif's research areas include ultracold atoms and Bose-Einstein condensates in optical fields, quantum computation and quantum information, nano-optomechanics, nano-devices, quantum optics and dynamical systems. Dr. Saif is the principal investigator of Quantum Electronics Labs, QAU, where he has supervised twelve PhD and 55 MPhil theses. In recognition of his many pioneering contributions as a researcher and educator he has received numerous national and international awards. Dr. Saif has collaborated with theorists and experimentalists alike in research institutions including University College London, Hunan Normal University, Turin Polytechnic university, College of William and Mary, Virginia, Abdelmalek Essaadi University Morocco, Tokyo University and the University of Electro-Communications. Dr. Shinichi Watanabe worked as a Tenured Professor at the Department of Engineering Science, University of Electro-Communications (UEC Tokyo), Tokyo, Japan. Previously, he worked as a researcher of the CNRS at the Observatory of Paris at Meudon, France from 1981 till 1987. Dr. Watanabe obtained his PhD degree in 1982 at the University of Chicago, USA. Earlier, he completed his BSc in 1977 at Brown University, USA. He served as the Chairman, Department of Applied Physics and Chemistry at UEC Tokyo, and currently he is serving as Director of the International Education Center at the same university. Dr. Watanabe's research interests primarily concern the dynamics of atoms and their interaction with light. He worked on the double ionization threshold law of the two-electron atom/ion, high-resolution continuum spectra of diamagnetic hydrogen-like atoms, hyperspherical adiabatic theory, Bose-Einstein condensation, ultra-cold molecular formation, and the dynamics of ultra-cold atoms in optical lattices. He ran a group working on atomic, molecular, and optical (AMO) Physics, at the Department of Engineering Science at UEC Tokyo, and has supervised five PhD and 33 MSc theses. Dr. Watanabe has collaborated worldwide with researchers at Kansas State University, USA; the Observatory of Paris at Meudon, France; the University of Tennessee, Knoxville, USA; JILA at the University of Colorado at Boulder, USA; and Quaid-i-Azam University, Pakistan, among others.Title from PDF title page (viewed on January 4, 2024).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750323086

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535/.15

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Subject(s)

SCIENCE / Physics / Atomic & Molecular.
Quantum optics.
Atomic & molecular physics.
Atoms.

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Farhan Saif, Shinichi Watanabe.

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