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Transport in interacting 1D double quantum wires.

Michael P Lilly, John L. Reno, Edward S. Bielejec, Dominique Laroche

Published Feb 1, 2015• 0 citations
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We introduce a microscopic theory and a simulation method for time-dependent quantum transport through a finite size sample with interacting electrons connected to leads with non-interacting electrons via time-dependent coupling in an external magnetic field. The model is built on the Quantum General Master Equation (QGME) formalism that is used to investigate the time dependent current and the total many-electron charge distribution. We investigate interwire forward and backward scattering phenomena for a coupling element between the wires in a double wire sample. We observe that the electron-electron interaction delocalizes localized states in the system enhancing the electron transport.
We study ensembles of fermionic cold-atom quantum wires with tunable transverse mode population and single-wire resolution. From in situ density profiles, we determine the temperature of the atomic wires in the weakly interacting limit and reconstruct the underlying potential landscape. By varying atom number and temperature, we control the occupation of the transverse modes and study the 1D-3D crossover. In the 1D limit, we observe an increase of the reduced temperature T/T_{F} at nearly constant entropy per particle S/Nk_{B}. The ability to probe individual atomic wires in situ paves the way to quantitatively study equilibrium and transport properties of strongly interacting 1D Fermi gases.