Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers
arXiv:1802.09586 · doi:10.1126/sciadv.aap8308
Abstract
Ergodic quantum systems are often quite alike, whereas nonergodic, fractal systems are unique and display characteristic properties. We explore one of these fractal systems, weakly bound dysprosium lanthanide molecules, in an external magnetic field. As recently shown, colliding ultracold magnetic dysprosium atoms display a soft chaotic behavior with a small degree of disorder. We broaden this classification by investigating the generalized inverse participation ratio and fractal dimensions for large sets of molecular wave functions. Our exact close-coupling simulations reveal a dynamic phase transition from partially localized states to totally delocalized states and universality in its distribution by increasing the magnetic field strength to only a hundred Gauss (or 10 mT). Finally, we prove the existence of nonergodic delocalized phase in the system and explain the violation of ergodicity by strong coupling between near-threshold molecular states and the nearby continuum.
References in corpus (26)
- Feshbach Resonances in Ultracold Gases
- Anderson Transitions
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Bose-Einstein Condensation of Erbium
- Quantum degenerate dipolar Fermi gas
- Disordered quantum gases under control
- Random Matrices and Chaos in Nuclear Physics
- Atomic Bose and Anderson glasses in optical lattices
- Anderson localization on the Bethe lattice: non-ergodicity of extended states
- Delocalization of a disordered bosonic system by repulsive interactions
- Many-body Localization with Dipoles
- Quantum Chaos in Ultracold Collisions of Erbium
- Trapping ultracold dysprosium: a highly magnetic gas for dipolar physics
- A random matrix model with localization and ergodic transitions
- Non-ergodic phases in strongly disordered random regular graphs
- Emergence of chaotic scattering in ultracold Er and Dy
- Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium
- Narrow-line magneto-optical trap for erbium
- Magneto-Optical Trap for Thulium Atoms
- Magneto-Optical Trapping of Holmium Atoms
- Anisotropy induced Feshbach resonances in a quantum dipolar gas of magnetic atoms
- Controlling interactions between highly-magnetic atoms with Feshbach resonances
- Quantum Levy flights and multifractality of dipolar excitations in a random system
- Anisotropy in the Interaction of Ultracold Dysprosium
- Poisson-to-Wigner crossover transition in the nearest-neighbor spacing statistics of random points on fractals
- Universal level-spacing distribution in quantum systems
Cited by in corpus (7)
- Magnetically tunable Feshbach resonances in ultracold gases of europium atoms and mixtures of europium and alkali-metal atoms
- Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules
- Magnetic Feshbach resonances in ultracold atom-molecule collisions
- A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
- Out-of-Time-Order-Correlator for van der Waals potential
- Precise Feshbach resonance spectroscopy using tight anharmonic traps
- Magnetic Moments of Lanthanide van der Waals Dimers