Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
arXiv:1709.08993 · doi:10.1038/s41598-018-21870-4
Abstract
We propose to use the method introduced by Volchkov et al., based on state dependent disordered ultracold bosons, to address the critical state at the mobility edge of the Anderson localization transition, and to observe its intriguing multifractal structure. An optimally designed external radio frequency pulse can be applied to generate transitions to eigenstates in a narrow energy window close to the mobility edge, where critical scaling and multifractality emerge. Two-photon laser scanning microscopy will be used to address individual localized states even close to the transition. The projected image of the cloud is shown to inherit multifractality and to display universal density correlations. Time of flight images of the excited states are predicted to show interference fringes in the localized phase, while they allow one to map equal energy surfaces deep in the metallic phase.
References in corpus (18)
- Anderson Transitions
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- The Kernel Polynomial Method
- Localization of ultrasound in a three-dimensional elastic network
- A Quantum Gas Microscope for Fermionic Atoms
- Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Strongly interacting bosons in a disordered optical lattice
- Non-ergodic phases in strongly disordered random regular graphs
- One-dimensional Anderson localization in certain correlated random potentials
- Coherent Backscattering of Ultracold Atoms
- Multifractal analysis with the probability density function at the three-dimensional Anderson transition
- Scanning tunnelling microscopy for ultracold atoms
- Coherent Forward Scattering Peak Induced by Anderson Localization
- Measurement of spectral functions of ultracold atoms in disordered potentials
- Lyapunov exponent for the laser speckle potential: a weak disorder expansion
- Wave function statistics at the symplectic 2D Anderson transition: bulk properties
- Statistics of renormalized on-site energies and renormalized hoppings for Anderson localization models in dimensions d=2 and d=3