Phase diagrams of 2D and 3D disordered Bose gases in the local density approximation

Thomas Bourdel (1)

1 Laboratoire Charles Fabry / Optique atomique

We study the superfluid transitions in bidimensional (2D) and tridimensional (3D) disordered and interacting Bose gases. We work in the limit of long-range correlated disorder such that it can be treated in the local density approximation. We present the superfluid transition curves both in the disorder-temperature plane well as in the disorder-entropy plane in 2D and 3D Bose gases. Surprisingly, we find that a small amount of disorder is always favorable to the apparition of a superfluid. Our results offer a quantitative comparison with recent experiments in 2D disordered ultra-cold gases, for which no exact theory exists.

Domaines: Gaz Quantiques [cond-mat.quant-gas]

Thomas Bourdel. Phase diagrams of 2D and 3D disordered Bose gases in the local density approximation. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2012, 86 (6), pp.063626. ⟨10.1103/PhysRevA.86.063626⟩. ⟨hal-00738114⟩