Rapidly rotating atomic gases
By N. Cooper. 2008
486 citations recorded by the source corpus.
In this article, we review developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single-component atomic Bose gas, which (at least at rest) forms a Bose–Einstein condensate. Rotation leads to the formation of quantized vortices which order into a vortex array, in close analogy with the behaviour of superfluid helium. Under conditions of rapid rotation, when the vortex density becomes large, atomic Bose gases offer the possibility to explore the physics of quantized vortices in novel parameter regimes. First, there is an interesting regime in which the vortices become sufficiently dense that their cores, as set by the healing length, start to overlap. In this regime, the theoretical description simplifies, allowing a reduction to single-particle states in the lowest Landau level. Second, one can envisage entering a regime of very high vortex density, when the number of vortices becomes comparable to the number of particles in the gas. In this regime, theory predicts the appearance of a series of strongly correlated phases, which can be viewed as bosonic versions of fractional quantum Hall states. In this article, we describe the equilibrium properties of rapidly rotating atomic Bose gases in both the mean-field and the strongly correlated regimes, and related theoretical developments for Bose gases in lattices, for multi-component Bose gases and for atomic Fermi gases. The current experimental situation and outlook for the future are discussed in light of these theoretical developments.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/b38df4307f60fc535bbdbcf424140d0a462b4471
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Superfluidity in nuclear systems and neutron stars (2018, background): “The corresponding studies in ultracold bosonic gases have focused on vortex-lattice oscillations (Tkachenko modes), quadrupolar modes of oscillations, rapid-rotation induced Landau quantization of states, etc.; for reviews see (Cooper, 2008; Verhelst and Tempere, 2017).”
- Gauge fields for ultracold atoms in optical superlattices (2009, background): “Analogous quantum Hall phases should also arise in cold atomic gases when they are set into fast rotation (see [3] and references therein).”
- Topological quantum matter with ultracold gases in optical lattices (2016, background): “using rotation [11] or atomlight coupling [12, 13].”
- Topological bands for ultracold atoms (2018, unknown): “These states include robust variants of interesting phases—theMooreRead and Read-Rezayi phases—which are expected to exhibit non-Abelian particle exchange statistics (Cooper, 2008).”
- Artificial gauge fields in materials and engineered systems (2017, unknown): “© 2019 Else of trapped atoms, one expects the atomic gases to form strongly correlated states [91,90], analogous to those observed in the fractional quantum Hall effect [92].”
- 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.”
- Topological photonics (2018, background): “…systems in solidstate materials, topological phases of matter are also being actively studied in other quantum many-body systems, in particular, liquid helium (Volovik, 2009) and ultracold atomic gases (Cooper, 2008; Dalibard et al., 2011; Goldman et al., 2014; Goldman, Budich, and Zoller, 2016).”
- 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].”
- Quantum Hall physics : Hierarchies and conformal field theory techniques (2016, background): “While such short range interactions are perhaps natural in a cold-atom experimental context (Cooper, 2008; Cooper and Dalibard, 2013; Viefers, 2008; Yao et al., 2013) or lattice-based quantum Hall realizations(27) , such interesting systems remain proposals and have not yet been realized experimenta”
- A synthetic electric force acting on neutral atoms (2010, background): “important for simulating charged condensed-matter systems with neutral atom”
- 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.”