04637nam 2200613Ia 450 991046171020332120200520144314.01-61728-736-9(CKB)2670000000176366(EBL)3018100(SSID)ssj0000687492(PQKBManifestationID)12217244(PQKBTitleCode)TC0000687492(PQKBWorkID)10756609(PQKB)10289556(MiAaPQ)EBC3018100(Au-PeEL)EBL3018100(CaPaEBR)ebr10659022(OCoLC)786001876(EXLCZ)99267000000017636620100702d2010 uy 0engur|n|---|||||txtccrBose-Einstein condensates[electronic resource] theory, characteristics, and current research /Paige E. Matthews, editorNew York Nova Science Publishersc20101 online resource (277 p.)Physics research and technologyDescription based upon print version of record.1-61728-114-X Includes bibliographical references and index.""BOSE EINSTEIN CONDENSATES:THEORY, CHARACTERISTICSAND CURRENT RESEARCH""; ""PHYSICS RESEARCH AND TECHNOLOGY""; ""CONTENTS""; ""PREFACE""; ""NEW APPROACH TO SPINOR BOSE-EINSTEINCONDENSATES""; ""Abstract""; ""1. Introduction""; ""2. General Formalism for the Spin Dynamics""; ""2.1. Overview""; ""2.2. Spin Representations of a Quantum 2-States System""; ""2.3. The Canonical Variables""; ""2.4. A Consequence of the Ehrenfest Theorem""; ""3. Spin Dynamics of the 2-states Bose-Einstein Condensate""; ""3.1. Basic Equations""; ""3.2. The Zero-Temperature Case: Deterministic Behavior""""3.2.1. Constant Magnetic Field along an Axis Perpendicular to the z-Direction""""3.2.2. The Rotating Transverse Magnetic Field""; ""3.2.3. The Modulated Transverse Magnetic Field""; ""3.3. The Finite-Temperature Case: Stochastic Behavior""; ""3.3.1. The Fokker-Planck Equation""; ""3.3.2. Derivation of the Fokker-Planck Equation Using the Functional Integral Approach""; ""4. Spin Dynamics of aMulti-component Bose-Einstein Condensate:Tunneling Phenomena""; ""4.1. Basic Equations""; ""4.2. Tunneling Rate""; ""4.3. Specific Examples of Tunneling""; ""4.3.1. Model(I)""; ""4.3.2. Model(II)""""5. Conclusion""""Appendix A""; ""References""; ""QUANTUM INTERFERENCE IN THETIME-OF-FLIGHT DISTRIBUTION FOR ATOMICBOSE-EINSTEIN CONDENSATES""; ""Abstract""; ""1. Introduction""; ""2. Interference in the Quantum Time-of-flight Distribution forBose-Einstein Condensate""; ""2.1. Vertical Setup""; ""2.2. Horizontal Setup""; ""3. Numerical Results and Discussions""; ""4. Summary and Conclusion""; ""Acknowledgments""; ""References""; ""ON THE DYNAMICS OF NONCONSERVATIVEBOSE-EINSTEIN CONDENSATES IN TRAPPEDDILUTE GASES""; ""Abstract""; ""1. Nonconservative Bose-Einstein Condensates""""2. The Mean-field Approach""""3. Techniques for the Resolution of Nonlinear SchrÂ?odingerEquations""; ""3.1. Time Independent Variational Approach""; ""3.2. Time Dependent Variational Approach""; ""3.3. Numerical Methods""; ""4. Unharmonic Trapping Potentials""; ""5. Nonlinear Phenomena in Bose-Einstein Condensates""; ""5.1. Liquid-Gas Phase Transition in Nonconservative Bose-Einstein Condensates""; ""5.2. Spatiotemporal Chaos in Bose-Einstein Condensates""; ""5.3. Autosolitons in Bose-Einstein Condensates""""5.4. Coherent Dimer Formation Near Feshbach Resonances in Bose-EinsteinCondensates""""6. Stability of Nonconservative Bose-Einstein Condensates""; ""7. Final Remarks""; ""References""; ""ELLIPTIC VORTICES IN SELF-ATTRACTIVEBOSE-EINSTEIN CONDENSATES""; ""Abstract""; ""1. Introduction""; ""2. The Model and Numerical Analysis for the Vortex Solitons""; ""3. Conclusion""; ""References""; ""CLASSICAL ELECTRODYNAMICS ANALOGYOF TWO-DIMENSIONAL BOSE-EINSTEINCONDENSATES""; ""Abstract""; ""1. Introduction""; ""2. Two-dimensional BEC""; ""3. Mapping onto Electrodynamics""""4. Conservation of Energy""Physics research and technology.Bose-Einstein condensationCondensationElectronic books.Bose-Einstein condensation.Condensation.530.4/2Matthews Paige E869938MiAaPQMiAaPQMiAaPQBOOK9910461710203321Bose-Einstein condensates1942238UNINA