Griffiths Physics in an Ultracold Bose Gas

M. E. W. Reed, Z. S. Smith, Aftaab Dewan, S. L. Rolston

Abstract

Coupled XY model systems are of significant theoretical interest, in particular 3D systems with disordered interlayer physics. We realize a set of coupled quasi-2D pancakes of $^{87}$Rb in the presence of disordered inter-layer coupling. This is achieved with our high bandwidth arbitrary lattice to obviate restrictions on the dimensionality of disorder with speckle-generated optical fields. We identify multiple phase crossover regions that comport with the existence of a pair of intermediate Griffiths phases between a thermal state and the emergence of bulk 3D superfluidity.