Fragility of the Laughlin state in an anharmonically-trapped Bose-Einstein condensate
arXiv:1810.07609 · doi:10.1103/PhysRevA.99.053613
Abstract
When a Bose-Einstein condensate rotates in a purely harmonic potential with an angular frequency which is close to the trap frequency, its many-body state becomes highly correlated, with the most well-known being the bosonic Laughlin state. To take into account that in a real experiment no trapping potential is ever exactly harmonic, we introduce an additional weak, quartic potential and demonstrate that the Laughlin state is highly sensitive to this extra potential. Our results imply that achieving these states experimentally is essentially impossible, at least for a macroscopic atom number.
References in corpus (46)
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Rapidly Rotating Atomic Gases
- Fractional quantum Hall states of atoms in optical Lattices
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Fragmentation of Bose-Einstein Condensates
- Fractional Quantum Hall Effect in Optical Lattices
- Condensation of `composite bosons' in a rotating BEC
- Bose-Einstein Condensates with Large Number of Vortices
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Quantum Hall fractions in rotating Bose-Einstein condensates
- Vortex states of rapidly rotating dilute Bose-Einstein condensates
- Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
- Giant hole and circular superflow in a fast rotating Bose-Einstein condensate
- Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials
- High field fractional quantum Hall effect in optical lattices
- Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
- A Composite Fermion Description of Rotating Bose-Einstein Condensates
- Yrast line for weakly interacting trapped bosons
- Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
- Multiply quantized vortices in trapped Bose-Einstein condensates
- Weakly-interacting Bose-Einstein condensates under rotation
- Quantum Hall physics in rotating Bose-Einstein condensates
- Rapidly rotating Bose-Einstein condensates in anharmonic potentials
- Quantum Hall fractions for spinless Bosons
- Bose condensates at high angular momenta
- Optical lattice quantum Hall effect
- Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates
- From Rotating Atomic Rings to Quantum Hall States
- Phases of a rotating Bose-Einstein condensate with anharmonic confinement
- Hall effects in Bose-Einstein condensates in a rotating optical lattice
- Transition to the Giant Vortex State in an Harmonic Plus Quartic Trap
- Ordered structures in rotating ultracold Bose gases
- Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
- Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
- Hysteresis and persistent currents in a rotating Bose-Einstein condensate with anharmonic confinement
- Dynamics of rapidly rotating Bose-Einstein condensates in a harmonic plus quartic trap
- Vortices in Bose-Einstein condensates with anharmonic confinement
- Quantum Hall phases and plasma analogy in rotating trapped Bose gases
- Strongly correlated states of a small cold atomic cloud from geometric gauge fields
- Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study
- Quantum Hall states of bosons in rotating anharmonic traps
- Composite fermion theory of rapidly rotating two-dimensional bosons
- Gaussian potentials facilitate access to quantum Hall states in rotating Bose gases
- Topological phases in small quantum Hall samples
- The absence of fragmentation in Bose-Einstein condensates