We study the transmission and conductance of a disordered matter wave guide subjected to a finite bias force field. We show that the statistical distribution of transmission takes a universal… Click to show full abstract
We study the transmission and conductance of a disordered matter wave guide subjected to a finite bias force field. We show that the statistical distribution of transmission takes a universal form. This distribution depends on a single parameter, the system length expressed in a rescaled metrics, which encapsulates all the microscopic features of the medium. Excellent agreement with numerics is found for various models of disorder and bias. For white-noise disorder and a constant force, we find algebraic decay of the transmission with distance, irrespective of the value of the force. The observability of these effects in ultracold atomic gases is discussed, taking into account specific features, such as finite-range disorder correlations, inhomogeneous forces, and finite temperatures.
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