Rotating trapped Bose-Einstein condensates

By A. Fetter. 2008

893 citations recorded by the source corpus.

AbstractTrapped Bose-Einstein condensates (BECs) differ considerably from the standard textbook example of a uniform Bose gas. In an isotropic harmonic potential V(r) = ½Mω2r2, the single-particle ground state introduces a new intrinsic scale of length [the ground-state size d = √ℏ/(Mω)] and energy [the ground-state energy E0 = $$ \frac{3} {2} $$ℏω]. When the trap rotates at a low angular velocity, the behavior of a single vortex illustrates the crucial role of discrete quantized vorticity. For more rapid rotation, the condensate contains a vortex array. The resulting centrifugal forces expand the condensate radially and shrink it axially; thus, the condensate becomes effectively two dimensional. If the external rotation speed approaches the frequency of the radial harmonic confining potential, the condensate enters the “lowest-Landau-level” regime, and a simple description again becomes possible. Eventually, the system is predicted to make a quantum phase transition to a highly correlated state analogous to the fractional quantum Hall states of electrons in a strong magnetic field.

Subfields: General Health Professions, Philosophy

View Paper: https://www.semanticscholar.org/paper/d55dbe3c36111297fab9e68dfb4dc6c9ddd08202

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Citations in the corpus

Quantum turbulence in trapped atomic Bose-Einstein condensates (2015, methodology): “Since then, vortices have been extensively studied in gaseous BEC and nowadays they can be routinely created (see [132, 133] for reviews on this topic).”
Artificial gauge fields in materials and engineered systems (2017, neutral): “the similitude of the mathematical structures of the Lorentz and Coriolis forces [73,74].”
(INVITED) Vortex solitons: Old results and new perspectives (2019, background): “The TF approximation can be applied to vortex solutions in other contexts too [61].”
Superfluidity in nuclear systems and neutron stars (2018, background): “ing vortex lattices has been investigated in great detail both theoretically and experimentally [131].”
Two-dimensional vortex quantum droplets (2018, background): “The inner radius can be roughly predicted using the TF approximation (which may be relevant for vortices [66]), applied to Eq.”
Rapidly rotating atomic gases (2008, background): “The reader is referred to [4,32] for excellent recent reviews that cover these topics in more detail.”
Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential (2017, background): “zation over a Nehari-Pohozaev type manifold. Note that when b = 0, problem (1.1) is related to the so-called Gross-Pitaevskii equation which arises in the study of Bose-Einstein condensates, see e.g.,[5, 7]. In the case of b = 0, the solutions with normalized L2-norm, i.e., L2-norm is equal to 1, ha”
The Excitation Spectrum for Weakly Interacting Bosons in a Trap (2012, background): “One of the manifestations of their quantum behavior is superfluidity, leading to the appearance of quantized vortices in rotating systems [3, 4].”
On the Mass Concentration for Bose–Einstein Condensates with Attractive Interactions (2013, background): “These Bose-Einstein condensates display various interesting quantum phenomena [10, 9, 12, 4], such as the appearance of quantized vortices in rotating traps, the effective lower dimensional behavior in strongly elongated traps, etc.”
Colloquium: Artificial gauge potentials for neutral atoms (2010, methodology): “This has been widely used in the context of quantum gases [see Cooper (2008) and Fetter (2009) for reviews] and it is well suited when the confining potential is rotationally invariant around the z axis.”
Mathematical Models and Numerical Methods for Bose-Einstein Condensation (2012, background): “where c2 = √ γz/2π and V2(x, y) = 1 2 ( γ(2) xx 2 + γ(2) yy 2 ) [20, 44,46,97].”