Vortices in a trapped dilute Bose-Einstein condensate
By A. Fetter, A. Svidzinsky. 2001
355 citations recorded by the source corpus.
We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare theoretical predictions with existing experiments. Mean-field theory based on the time-dependent Gross-Pitaevskii equation describes the main features of the vortex states, and its predictions agree well with available experimental results. We discuss various properties of a single vortex, including its structure, energy, dynamics, normal modes, and stability, as well as vortex arrays. When the nonuniform condensate contains a vortex, the excitation spectrum includes unstable (`anomalous') mode(s) with negative frequency. Trap rotation shifts the normal-mode frequencies and can stabilize the vortex. We consider the effect of thermal quasiparticles on vortex normal modes as well as possible mechanisms for vortex dissipation. Vortex states in mixtures and spinor condensates are also discussed.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/c49de5280082c6ea79a12ebe6a67e659ef1a31d4
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases (2005, background): “In general, the non-uniqueness of the GP minimizer stems from the appearance of quantized vortices, which break the axial symmetry, and hence lead to a whole continuum of GP minimizers [21, 22, 2, 3, 8, 7, 1].”
- Bose–Einstein condensation of atomic gases (2002, background): “Experimentally, vortices are observed only above a critical rotation frequency, whereas in theory, there may be several velocities that are each critical in different sense”
- Rotating trapped Bose-Einstein condensates (2008, background): “In this way, they measure the precession rate of a one-component empty-core vortex, yielding values in reasonable agreement with theoretical predictions (Fetter and Svidzinsky, 2001).”
- Optical vortices and vortex solitons (2004, methodology): “In particular, this includes the dynamics of BEC vortices (Williams and Holland [1999]; Garcia-Ripoll and Perez-Garcia [2000]) recently reviewed by Fetter and Svidzinsky [2001]. Historically, quantum vortices in trapped atomic gases were first observed in 1999, using two-component condensates (Matth”
- Artificial gauge fields in materials and engineered systems (2017, neutral): “the similitude of the mathematical structures of the Lorentz and Coriolis forces [73,74].”
- Quantum turbulence in trapped atomic Bose-Einstein condensates (2015, methodology): “Vortices in atomic BECs have been produced using a variety of methods: phase imprinting, stirring with a bluedetuned laser, rotating the trap potential and others (see [175, 132] and references therein).”
- Ground, Symmetric and Central Vortex States in Rotating Bose-Einstein Condensates (2005, background): “For a numerical and theoretical review of quantized vortices, we refer to [22] and the recent book [37].”
- Cold and ultracold molecules: science, technology and applications (2009, background): “This leads to a quantum hydrodynamic description [220] as an inviscid classical fluid with quantum pressure and non-local interactions.”
- Electron vortices: Beams with orbital angular momentum (2017, background): “Electron vortex states are also relevant in the context of quantum information and, in particular, the electron vortex may potentially be used to impart angular momentum into vortices in Bose-Einstein condensates (Fetter, 2001).”