Quantised vortices :a handbook of topological excitations /

Search by :

ALL Author Subject ISBN/ISSN Advanced Search

Last search:

Quantised vortices :a handbook of topological excitations /

Simula, Tapio, - Personal Name; Institute of Physics (Great Britain), - Personal Name; Morgan & Claypool Publishers, - Personal Name;

"Version: 20190701"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.part I. Vortices in Flatland. 1. Vortices -- 1.1. Space-time symmetries -- 1.2. Quantum liquids -- 1.3. Vorticity in classical fluids -- 1.4. Vorticity in quantum liquids2. Quasiparticle picture -- 2.1. Emergence of quasiparticles -- 2.2. Boson commutation relations -- 2.3. Fermion anticommutation relations -- 2.4. Majorana relations -- 2.5. Anyon quasiparticles -- 2.6. Non-abelian anyon quasiparticles -- 2.7. Bogoliubov-de Gennes equations -- 2.8. Time-reversal symmetry -- 2.9. Particle-hole symmetry -- 2.10. Chiral symmetry -- 2.11. Phonon spectrum -- 2.12. Landau critical velocity -- 2.13. Roton-maxon spectrum -- 2.14. Edge modes -- 2.15. Dipole, breathing, quadrupole and scissors modes -- 2.16. Kelvin mode vortex waves -- 2.17. Tkachenko mode vortex waves -- 2.18. Caroli-de Gennes-Matricon modes -- 2.19. Nambu-Goldstone zero mode -- 2.20. Majorana zero mode -- 2.21. Magnon spin waves3. Cold atoms -- 3.1. Scalar Bose-Einstein condensates -- 3.2. Bose zero-temperature energy functional -- 3.3. Thomas-Fermi relations -- 3.4. Healing length -- 3.5. Thermodynamic relations -- 3.6. Quantum hydrodynamic equations -- 3.7. Two-component Bose-Einstein condensates -- 3.8. Spin-1 Bose-Einstein condensates -- 3.9. Spin-2 Bose-Einstein condensates -- 3.10. High-spin Bose-Einstein condensates -- 3.11. Representations of spinor Bose-Einstein condensates -- 3.12. Exotic interactions -- 3.13. Bardeen-Cooper-Schrieffer mean-field theory -- 3.14. Ultracold Fermi gases -- 3.15. Dirac-Bogoliubov-de Gennes systems -- 3.16. Gapless, massless, linear spectra -- 3.17. Gapped, massive, quadratic spectra4. Topological invariants and quantities -- 4.1. Topology and ordered structures -- 4.2. A game of lines and loops -- 4.3. Maps and order parameters -- 4.4. Homotopy classification of defects -- 4.5. Burgers vector -- 4.6. Gauss-Bonnet theorem -- 4.7. Winding number -- 4.8. Berry phase, curvature, and connection -- 4.9. Chern number -- 4.10. Linking number, writhe and twist -- 4.11. Helicity -- 4.12. Enstrophy -- 4.13. Kauffman bracket polynomial -- 4.14. Jones polynomial5. Topological excitations -- 5.1. Topological defects -- 5.2. Soliton -- 5.3. Bright soliton -- 5.4. Grey and dark soliton -- 5.5. Solitonic vortex -- 5.6. Plain vortex -- 5.7. Polynomial vortex -- 5.8. Coherence vortex -- 5.9. Fractional vortex -- 5.10. Baby skyrmion -- 5.11. Monopole -- 5.12. Fluxon, chargeon, and dyon -- 5.13. Alice vortex and Cheshire charge6. Structure of a plain vortex -- 6.1. Vortex uncertainty principle -- 6.2. Kelvon -- 6.3. Circulation quantum -- 6.4. Vortex energy -- 6.5. Thermodynamic stability -- 6.6. Spectral, energetic stability -- 6.7. Dynamical Lyapunov stability -- 6.8. Inertial vortex mass -- 6.9. Gravitational vortex mass -- 6.10. Kelvon-based vortex mass -- 6.11. Hydrodynamic induced vortex mass component -- 6.12. Relativistic vortex mass component -- 6.13. Baym-Chandler vortex mass -- 6.14. Kopnin vortex mass7. Vortex dynamics -- 7.1. Adiabatic vortex dynamics -- 7.2. Vortex force and velocity -- 7.3. Magnus effect and mutual induction -- 7.4. Vortex pair creation and annihilation -- 7.5. Onsager point vortex model -- 7.6. Vortex-particle duality -- 7.7. Point vortex model with cylindrical boundary -- 7.8. Point vortex models with square boundaries -- 7.9. Point vortex models in general domains -- 7.10. Vortex classification algorithm -- 7.11. Vortex temperature -- 7.12. Winding number scaling laws8. Vortex production in Bose-Einstein condensates -- 8.1. Coherent coupling of internal states -- 8.2. Laguerre-Gauss laser modes -- 8.3. Topological angular momentum conversion -- 8.4. Rotating bucket -- 8.5. Rotating thermal cloud -- 8.6. Stirring -- 8.7. Shaking bucket -- 8.8. Snaking instability -- 8.9. Many-wave interference -- 8.10. Vortex-antivortex honeycomb lattices -- 8.11. Caustics and diffraction catastrophes -- 8.12. Vortex quasicrystals -- 8.13. Vortex phasons -- 8.14. Vortex Moir?e superlattices -- 8.15. Synthetic gauge fields -- 8.16. Optical flux lattices -- 8.17. Filtered speckle fields -- 8.18. Kibble-Zurek mechanism and quenches -- 8.19. Berezinskii-Kosterlitz-Thouless mechanism9. Topological quantum computation -- 9.1. Non-abelian anyons -- 9.2. Topological qubits -- 9.3. Quantum dimension -- 9.4. Majorana Ising anyon model -- 9.5. Fibonacci anyon model -- 9.6. Model k anyons -- 9.7. Non-abelian vortex anyons -- 9.8. Annihilation, pass-through and rungihilation -- 9.9. Non-abelian vortex anyon models -- 9.10. Vortex anyon creation, pinning, braiding, and fusion -- 9.11. From quantum circuits to anyon braiding -- 9.12. Evaluation of space-time knot invariants10. Two-dimensional quantum turbulence -- 10.1. Regular and chaotic few-vortex dynamics -- 10.2. Inverse energy and direct enstrophy cascades -- 10.3. Vortex near-field spectrum -- 10.4. Vortex far-field spectrum -- 10.5. Vortex dipole spectrum -- 10.6. Kolmogorov-Obukhov spectrum -- 10.7. Onsager vortex spectrum -- 10.8. Spin turbulence spectrum -- 10.9. Helmholtz decomposition -- 10.10. Enstrophy conservation and non-conservation -- 10.11. Evaporative heating of vortices -- 10.12. Point vortex model of turbulence -- 10.13. Non-abelian two-dimensional quantum turbulence -- 10.14. Superfluid Reynolds number -- 10.15. Eddy turnover time -- 10.16. Anomalous hydrodynamics of vortices -- 10.17. Negative absolute temperature -- 10.18. Negative absolute vortex temperature -- 10.19. Non-thermal fixed point -- 10.20. Dynamical phase transitions -- 10.21. Condensation of Onsager vortices11. Vortex states of matter in Flatland -- 11.1. BCS superconductivity -- 11.2. Meissner effect -- 11.3. Type-II superconductors -- 11.4. Abrikosov vortex lattice -- 11.5. Vortex pinning and creep motion -- 11.6. Vortex matter in rotating superfluids -- 11.7. Vortex nucleation and Hess-Fairbank effect -- 11.8. Vortex lattices in neutral superfluids -- 11.9. Feynman rule -- 11.10. Vortex lattice melting -- 11.11. Two-dimensional vortex Coulomb gas -- 11.12. Two-dimensional Coulomb gas : quantum Hall effects -- 11.13. Two-dimensional Coulomb gas : Hauge-Hemmer transition -- 11.14. Two-dimensional Coulomb gas : Berezinskii-Kosterlitz-Thouless transition -- 11.15. Two-dimensional Coulomb gas : supercondensation transition -- 11.16. Two-dimensional Coulomb gas : Einstein-Bose condensation transition12. Superfluid universe -- 12.1. Vacuum -- 12.2. Speed of light -- 12.3. Photon -- 12.4. Particles and antiparticles -- 12.5. Positronium -- 12.6. Pair creation and annihilation -- 12.7. Photon emission and absorption -- 12.8. Charge -- 12.9. Spin -- 12.10. Dipole moment -- 12.11. Electrodynamics -- 12.12. Non-abelian fractional charge particles -- 12.13. Quantum chromodynamics -- 12.14. Gravitation and black holes -- 12.15. Cosmic inflation.Vortices comprising swirling motion of matter are observable in classical systems at all scales ranging from atomic size to the scale of galaxies. In quantum mechanical systems, such vortices are robust entities whose behaviours are governed by the strict rules of topology. The physics of quantum vortices is pivotal to the basic science of quantum turbulence and high-temperature superconductors, and underpins emerging quantum technologies including topological quantum computation. This handbook is aimed at providing a dictionary-style portal to the fascinating quantum world of vortices.General/trade.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Tapio Simula was awarded a D.Sc.(Tech.) degree in 2003 by the Helsinki University of Technology. His research interests include the physics of quantum vortices and superfluidity in Bose-Einstein condensates. He is currently an Australian Research Council (ARC) Future Fellow at Swinburne University of Technology, Melbourne, Australia.Title from PDF title page (viewed on September 5, 2019).

Availability

No copy data

Detail Information

Series Title: -
Call Number: -
Publisher: : .,
Collation: 1 online resource (various pagings) :illustrations (some color).
Language: English
ISBN/ISSN: 9781643271262
Classification: 532.0595
Content Type: -
Media Type: -
Carrier Type: -
Edition: -
Subject(s): SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Quantum theory.
Vortex-motion.
Specific Detail Info: -
Statement of Responsibility: Tapio Simula.

Other version/related

No other version available

File Attachment

No Data

Comments

You must be logged in to post a comment