Effect of a bias field on disordered waveguides: Universal scaling of conductance and application to ultracold atoms

Abstract

We study the transmission of a disordered waveguide subjected to a finite bias field. The statisticaldistribution of transmission is analytically shown to take a universal form. It depends on a singleparameter, the system length expressed in a rescaled metrics, which encapsulates all the microscopicfeatures of the medium and the bias field. Excellent agreement with numerics is found for variousmodels of disorder and bias field. For white-noise disorder and a linear bias field, we demonstratethe algebraic nature of the decay of the transmission with distance, irrespective of the value ofthe bias field. It contrasts with the expansion of a wave packet, which features a delocalizationtransition for large bias field. The difference is attributed to the different boundary conditionsfor the transmission and expansion schemes. The observability of these effects in conductancemeasurements for electrons or ultracold atoms is discussed, taking into account key features, suchas finite-range disorder correlations, nonlinear bias fields, and finite temperatures.

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Cited by in corpus (5)

• Observation of two-dimensional Anderson localisation of ultracold atoms
• Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias force
• Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions