Vortices in quantum droplets: Analogies between boson and fermion systems
arXiv:1006.1884 · doi:10.1103/RevModPhys.82.2785
Abstract
The main theme of this review is the many-body physics of vortices in quantum droplets of bosons or fermions, in the limit of small particle numbers. Systems of interest include cold atoms in traps as well as electrons confined in quantum dots. When set to rotate, these in principle very different quantum systems show remarkable analogies. The topics reviewed include the structure of the finite rotating many-body state, universality of vortex formation and localization of vortices in both bosonic and fermionic systems, and the emergence of particle-vortex composites in the quantum Hall regime. An overview of the computational many-body techniques sets focus on the configuration interaction and density-functional methods. Studies of quantum droplets with one or several particle components, where vortices as well as coreless vortices may occur, are reviewed, and theoretical as well as experimental challenges are discussed.
Review article, 53 pages, 53 figures
References in corpus (44)
- Many-Body Physics with Ultracold Gases
- Theory of ultracold Fermi gases
- Synthetic magnetic fields for ultracold neutral atoms
- Spin qubits in graphene quantum dots
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Fragmentation of Bose-Einstein Condensates
- Optimal Control of Quantum Rings by Terahertz Laser Pulses
- Quantum Hall physics in rotating Bose-Einstein condensates
- Electron-electron interaction and charging effects in graphene quantum dots
- Polygonal excitations of spinning and levitating droplets
- Vortex sheet in rotating two-component Bose-Einstein condensates
- A molecular state of correlated electrons in a quantum dot
- High Resolution Spectroscopy of Two-Dimensional Electron Systems
- Quantum calculation of vortices in the inner crust of neutron stars
- Two-electron lateral quantum-dot molecules in a magnetic field
- Ordered structures in rotating ultracold Bose gases
- Exchange-controlled single-electron-spin rotations in quantum dots
- Giant vortex and Skyrmion in a rotating two-species Bose-Einstein condensate
- Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields
- Energetics and Possible Formation and Decay Mechanisms of Vortices in Helium Nanodroplets
- Interaction-Induced Strong Localization in Quantum Dots
- Half-Integer Filling Factor States in Quantum Dots
- Edge excitations and Topological orders in rotating Bose gases
- Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap
- Rotating quantum liquids crystallize
- Entanglement transfer from electron spins to photons in spin light-emitting diodes containing quantum dots
- Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
- Semiconductor quantum dots in high magnetic fields: The composite-fermion view
- Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
- Vortex localization in rotating clouds of bosons and fermions
- Spin-dependent Rotating Wigner Molecules in Quantum dots
- Symmetry-conserving vortex clusters in small rotating clouds of ultracold bosons
- Symmetry breaking in small rotating cloud of trapped ultracold Bose atoms
- Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids
- The absence of fragmentation in Bose-Einstein condensates
- Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
- Quantized vortices in He droplets: a quantum Monte Carlo study
- Giant vortices in rotating electron droplets
- Universality of Many-Body States in Rotating Bose and Fermi Systems
- Effects of thickness in quantum dots at strong magnetic fields
- Vortex formation in quantum dots in high magnetic fields
- Localization of particles in harmonic confinement: Effect of the interparticle interaction
- Coreless Vortices in Rotating Two-Component Quantum Droplets
Cited by in corpus (55)
- Few-body physics with ultracold atomic and molecular systems in traps
- Rotating binary Bose-Einstein condensates and vortex clusters in quantum droplets
- Effects of symmetry breaking in finite quantum systems
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
- Quantum Lissajous Scars
- Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
- Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
- Formation and structure of vortex lattices in a rotating double-well Bose-Einstein condensate
- Quantum rings for beginners II: Bosons versus fermions
- Rotational properties of dipolar Bose-Einstein condensates confined in anisotropic harmonic potentials
- Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates
- Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
- Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
- Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling
- Three-dimensional vortex structures in a rotating dipolar Bose-Einstein condensate
- Self-organization of charged particles in circular geometry
- Thomson rings in a disk
- Rotating quantum droplets confined in a harmonic potential
- Generation of electron vortex states in ionization by intense and short laser pulses
- Magnetic alteration of entanglement in two-electron quantum dots
- Topological phases in small quantum Hall samples
- Vortices in Bose-Einstein condensates - finite-size effects and the thermodynamic limit
- Abnormal Superfluid Fraction of Harmonically Trapped Few-Fermion Systems
- Spin-orbit-enhanced Wigner localization in quantum dots
- Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
- Rotating Bose-Einstein condensates with a finite number of atoms confined in a ring potential: Spontaneous symmetry breaking, beyond the mean-field approximation
- Vortex patterns in rotating dipolar Bose-Einstein condensate mixtures with squared optical lattices
- Paramagnetic resonance in spin-polarized disordered Bose-Einstein condensates
- Condensates of p-wave pairs are exact solutions for rotating two-component Bose gases
- Phase diagram of a rapidly-rotating two-component Bose gas
- Configurational entropy of Wigner crystals
- Pair interactions of heavy vortices in quantum fluids
- Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
- Reply to "Comment on 'Thomson rings in a disk' "
- Wave Function Identity: A New Symmetry for 2-electron Systems in an Electromagnetic Field
- Maximal tripartite entanglement between singlet-triplet qubits in quantum dots
- Exchange-correlation potentials for inhomogeneous electron systems in two dimensions from exact diagonalization: comparison with the local-spin-density approximation
- Numerical simulation of nonequilibrium states in a trapped Bose-Einstein condensate
- Vortex patterns in moderately rotating Bose-condensed gas
- Rapidly-rotating quantum droplets confined in a harmonic potential
- Thermodynamics of two-dimensional bosons in the lowest Landau level
- Strongly correlated states of trapped ultracold fermions in deformed Landau levels
- Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
- Ground state properties of trapped boson system with finite-range Gaussian repulsion: Exact diagonalization study
- Non-adiabatic charge state transitions in singlet-triplet qubits
- Wavefunction Vortex Attachment via Matrix Products: Application to Atomic Fermi Gases in Flat Spin-Orbit Bands
- Composite fermion basis for two-component Bose gases
- Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
- Vortices in fermion droplets with repulsive dipole-dipole interactions
- Bose-Einstein condensation in canonical ensemble with fixed total momentum
- Empty and filled vortices in squeezed 39K Bose-Bose liquid drops
- A two-state model for vortex nucleation in a rotating Bose-Einstein condensate
- The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling
- Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose-Einstein condensate in ferromagnetic phase at finite temperatures