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TT: Fachverband Tiefe Temperaturen

TT 44: Twisted Materials / Systems

TT 44.6: Vortrag

Mittwoch, 20. März 2024, 12:45–13:00, H 3007

Particle dynamics and ergodicity breaking in twisted-bilayer optical lattices — •Ganesh C. Paul — Technische Universität Braunschweig, Institut für Mathematische Physik, Mendelssohnstraße 3 , 38106 Braunschweig, Germany

Recent experiments have realized a twisted-bilayer-like optical potential for ultracold atoms, which in contrast to solid-state setups may allow for an arbitrary ratio between the inter- and intralayer couplings. For commen- surate moiré twistings, a large-enough interlayer coupling results in particle transport dominated by channel formation. For incommensurate twistings, the interlayer coupling acts as an effective disorder strength. Whereas for weak couplings the whole spectrum remains ergodic, at a critical value part of the eigenspectrum transitions into multifractal states. A similar transition may be observed as well as a function of an energy bias between the two layers. Our theoretical study reveals atoms in a twisted-bilayer system of square optical lattices as an interesting platform for the study of ergodicity breaking and multifractality.

Keywords: Twisted bilayer system; Multifractality; Cold atom in optical lattice