Phases and Dynamics of Ultracold Bosons in a Tilted Optical Lattice

Andrew J. Daley, Anton S. Buyskikh, Luca Tagliacozzo +3 more

Khan W. Mahmud, Eite Tiesinga

Moritz Hiller, Hannah Venzl, Tobias Zech +3 more

We identify regular structures in the globally chaotic spectra of an interacting bosonic quantum gas in tilted periodic potentials. The associated eigenstates exhibit strong localization properties on the lattice and are dynamically robust against external perturbations.

Anatoli Polkovnikov, Subir Sachdev A, S. M. Girvin

Ethan Lake, T. Senthil

We study Fermi-Hubbard models with kinetically constrained dynamics that conserves both total particle number and total center of mass, a situation that arises when interacting fermions are placed in strongly tilted optical lattices. Through a combination of analytics and numerics, we show how the kinetic constraints stabilize an exotic non-Fermi liquid phase described by fermions coupled to a gapless bosonic field, which in several respects mimics a dynamical gauge field. This offers a novel route towards the study of non-Fermi liquid phases in the precision environments afforded by ultracold atom platforms.

Ippei Danshita, Jamie Williams, C. A. R. Sá de Melo +1 more

We study the superfluid-to-Mott insulator transition of bosons in a two-legged ladder optical lattice of a type accessible in current experiments on double-well optical lattices. The zero-temperature phase diagram is mapped out, with a focus on its dependence upon interchain hopping and the tilt between double wells. We find that the unit-filling Mott phase exhibits a nonmonotonic behavior as a function of the tilt parameter, producing a reentrant phase transition between the Mott insulator and superfluid phases.