Disordered System and Bose-Einstein Condensation in One Dimension.

Thomas Jaeck, Joseph V. Pulé, Valentin Anatol'evich Zagrebnov

Wanwan Shi, Peiqing Tong

Marius Lemm, Simone Rademacher, Jingxuan Zhang

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we prove that fluctuations around the condensate propagate with a small velocity due to the disorder. This provides an example of a disordered many-body system with provably slow transport behavior in any spatial dimension. The main technical novelty is an interaction picture analysis relative to the Anderson-localized one-body dynamics.

Y. Imry, David J. Bergman, Leon Gunther

Armand Niederberger, T. Schulte, Jan Wehr +3 more

We propose and analyze a general mechanism of disorder-induced order in two-component Bose-Einstein condensates, analogous to corresponding effects established for XY spin models. We show that a random Raman coupling induces a relative phase of pi/2 between the two BECs and that the effect is robust. We demonstrate it in one, two, and three dimensions at T=0 and present evidence that it persists at small T>0. Applications to phase control in ultracold spinor condensates are discussed.

Virulh Sa‐Yakanit, Wattana Lim