Quantum rings for beginners II: Bosons versus fermions
arXiv:1210.0775 · doi:10.1016/j.physe.2012.09.013
Abstract
The purpose of this overview article, which can be viewed as a supplement to our previous review on quantum rings, [S. Viefers {\it et al}, Physica E {\bf 21} (2004), 1-35], is to highlight the differences of boson and fermion systems in one-dimensional (1D) and quasi-one-dimensional (Q1D) quantum rings. In particular this involves comparing their many-body spectra and other properties, in various regimes and models, including spinless and spinful particles, finite versus infinite interaction, and continuum versus lattice models. Our aim is to present the topic in a comprehensive way, focusing on small systems where the many-body problem can be solved exactly. Mapping out the similarities and differences between the bosonic and fermionic cases is of renewed interest due to the experimental developments in recent years, allowing for more controlled fabrication of both fermionic and bosonic quantum rings.
33 pages, 14 figures. Physica E, in press
References in corpus (46)
- The physics of dipolar bosonic quantum gases
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Bose-Einstein condensation in a circular waveguide
- Quantum rings for beginners: Energy spectra and persistent currents
- Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
- A ring trap for ultracold atoms
- Time-Averaged Adiabatic Potentials: Versatile traps and waveguides for ultracold quantum gases
- Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- Quantum Hall physics in rotating Bose-Einstein condensates
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Cold atom confinement in an all-optical dark ring trap
- Exact ground state of finite Bose-Einstein condensates on a ring
- Detecting phonons and persistent currents in toroidal Bose-Einstein condensates by means of pattern formation
- Rotational and vibrational spectra of quantum rings
- Dipolar condensates confined in a toroidal trap: ground state and vortices
- Mixtures of Bose Gases Confined in a Ring Potential
- Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
- Vortex signatures in annular Bose-Einstein condensates
- Exact wave functions of two-electron quantum rings
- Exact ground state properties of the one-dimensional Coulomb gas
- Bosonic and fermionic dipoles on a ring
- A dipolar self-induced bosonic Josephson junction
- The dynamics of quantum vortices in a toroidal trap
- Classical Mobius-Ring Resonators Exhibit Fermion-Boson Rotational Symmetry
- Dipolar Bose-Einstein condensate in a ring or in a shell
- Spontaneous emergence of angular momentum Josephson oscillations in coupled annular Bose-Einstein condensates
- Smooth, holographically generated ring trap for the investigation of superfluidity in ultracold atoms
- Magnetoplasmons in quantum rings
- Dynamical properties of the one-dimensional spin-1/2 Bose-Hubbard model near Mott-insulator to ferromagnetic liquid transition
- Multipole modes and spin features in the Raman spectrum of nanoscopic quantum rings
- Persistent currents in Bose gases confined in annular traps
- Current-spin-density functional study of persistent currents in quantum rings
- Adjustable microchip ring trap for cold atoms and molecules
- Fine Structure and Fractional Aharonov-Bohm Effect
- Mixtures of Bose gases confined in concentrically coupled annular traps
- Manipulating Bose-Einstein condensed atoms in toroidal traps
- Proposed magneto-electrostatic ring trap for neutral atoms
- Decay of superfluid currents in the interacting one-dimensional Bose gas
- Exact Yrast Spectra of Cold Atoms on a Ring
- Persistent currents in dipolar Bose-Einstein condensates confined in annular potentials
- Metastability of persistent currents in trapped gases of atoms
- Stability of persistent currents in a Bose-Einstein condensate confined in a toroidal trap
- Rotating ground states of a one-dimensional spin-polarized gas of fermionic atoms with attractive p-wave interactions on a mesoscopic ring
- Oscillation bands of condensates on a ring: Beyond the mean field theory
- On the Lieb-Liniger model in the infinite coupling constant limit
Cited by in corpus (14)
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Probing the BCS-BEC crossover with persistent currents
- Contact and Structure Factor for Bosonic and Fermionic Mixtures
- Quasi-1D scattering with general transverse 2D confinement
- Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
- Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization
- Persistent currents in a strongly interacting multicomponent Bose gas on a ring
- Emergence of a Bose polaron in a small ring threaded by the Aharonov-Bohm flux
- Rotational properties of non-dipolar and dipolar Bose-Einstein condensates confined in annular potentials
- Kubo's response theory and bosonization with a background gauge field and irrelevant perturbations
- Spin-flip induced superfluidity in a ring of spinful hard-core bosons
- Fermions with long and finite range interactions on a quantum ring
- Symmetry breaking and restoration on a fermionic quantum ring
- Necklace Ansatz for strongly repulsive spin mixtures on a ring