Research

Correlated disorder - generalized N-mers

In one-dimensional disordered systems, quantum particle will always localize, regardless its energy. At least, it is true as long as disorder in uncorrelated. However, in the case of correlated disorder we could expect the conducting states to appear.

My work on this topic was focused on specific short-ranged correlations - generalized N-mers. It this case we deal with several-site wide blocks which appear in random order but their internal structure is always the same. It appears that a simple theory apply then, the existence of conducting states could be explained and their energies calculated.

Furthermore, such correlations could be created in optical lattices, giving the chance to create a multimode tuneable filter for energies: system which traps all atoms but ones with some very precisely chosen energies.

Results of this research are published in papers: Phys. Rev. A 92 023606 (2015), Acta Phys. Pol. A, 128 1002 (2015) and Phys. Rev. A, 94 053613 (2016) (the last contains the most general overview).

Random artificial gauge field

One of the serious drawbacks of systems of ultracold atomic gases was their inability to simulate orbital magnetism. This problem has been solved several years ago, and now variety of techniques to do so exist. We describe method, utilizing two species of ultracold atoms, which could be used to create in the 2D regular optical lattice a randomly changing artificial magnetic field. Further we investigate the localization properties of such systems.

Results are published in: Phys. Rev. A, 96, 033620 (2017).