The Resource Vortices in Bose-Einstein Condensates, by Amandine Aftalion, (electronic resource)

Vortices in Bose-Einstein Condensates, by Amandine Aftalion, (electronic resource)

Label
Vortices in Bose-Einstein Condensates
Title
Vortices in Bose-Einstein Condensates
Statement of responsibility
by Amandine Aftalion
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum fluids have been the focus of international interest in physics. This monograph is dedicated to the mathematical modelling of some specific experiments which display vortices and to a rigorous analysis of features emerging experimentally. In contrast to a classical fluid, a quantum fluid such as a Bose–Einstein condensate can rotate only through the nucleation of quantized vortices beyond some critical velocity. There are two interesting regimes: one close to the critical velocity, where there is only one vortex that has a very special shape; and another one at high rotation values, for which a dense lattice is observed. One of the key features related to superfluidity is the existence of these vortices. We address this issue mathematically and derive information on their shape, number, and location. In the dilute limit of these experiments, the condensate is well described by a mean field theory and a macroscopic wave function solving the so-called Gross–Pitaevskii equation. The mathematical tools employed are energy estimates, Gamma convergence, and homogenization techniques. We prove existence of solutions that have properties consistent with the experimental observations. Open problems related to recent experiments are presented. The work can serve as a reference for mathematical researchers and theoretical physicists interested in superfluidity and quantum fluids, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments
Member of
http://library.link/vocab/creatorName
Aftalion, Amandine
Dewey number
530.42
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
SkeVsX30IEM
Language note
English
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
67
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Mathematical physics
  • Mathematics
  • Partial Differential Equations
  • Strongly Correlated Systems, Superconductivity
  • Mathematical Methods in Physics
  • Condensed Matter Physics
  • Classical and Continuum Physics
  • Applications of Mathematics
Label
Vortices in Bose-Einstein Condensates, by Amandine Aftalion, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [199]-203) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
The Physical Experiment and Their Mathematical Modeling -- The Mathematical Setting: A Survey of the Main Theorems -- Two-Dimensional Model for otating Condensate -- Other Trapping Potentials -- High-Velocity and Quantam Hall Regime -- Three-Dimensional Rotating Condensate -- Superfluid Flow Around an Obstacle -- Further Open Problems
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (215 p.)
Form of item
online
Isbn
9781281087706
Media category
computer
Media type code
  • c
Other control number
10.1007/0-8176-4492-X
Specific material designation
remote
System control number
  • (CKB)1000000000404822
  • (EBL)337341
  • (OCoLC)262690925
  • (SSID)ssj0000268505
  • (PQKBManifestationID)11214497
  • (PQKBTitleCode)TC0000268505
  • (PQKBWorkID)10236635
  • (PQKB)10504901
  • (DE-He213)978-0-8176-4492-5
  • (MiAaPQ)EBC337341
  • (EXLCZ)991000000000404822
Label
Vortices in Bose-Einstein Condensates, by Amandine Aftalion, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [199]-203) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
The Physical Experiment and Their Mathematical Modeling -- The Mathematical Setting: A Survey of the Main Theorems -- Two-Dimensional Model for otating Condensate -- Other Trapping Potentials -- High-Velocity and Quantam Hall Regime -- Three-Dimensional Rotating Condensate -- Superfluid Flow Around an Obstacle -- Further Open Problems
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (215 p.)
Form of item
online
Isbn
9781281087706
Media category
computer
Media type code
  • c
Other control number
10.1007/0-8176-4492-X
Specific material designation
remote
System control number
  • (CKB)1000000000404822
  • (EBL)337341
  • (OCoLC)262690925
  • (SSID)ssj0000268505
  • (PQKBManifestationID)11214497
  • (PQKBTitleCode)TC0000268505
  • (PQKBWorkID)10236635
  • (PQKB)10504901
  • (DE-He213)978-0-8176-4492-5
  • (MiAaPQ)EBC337341
  • (EXLCZ)991000000000404822

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