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arXiv:1304.5503 · The European Physical Journal B

Bosonic transport through a chain of quantum dots

Anton Ivanov, G. Kordas, Andreas Komnik, Sandro Wimberger

Published Aug 1, 2013• 39 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2013-40417-4

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We study physical properties of a Luttinger liquid in a superlattice which is characterized by alternating two tunneling parameters. Employing the Bosonization approach, we describe the corresponding Hubbard model by the equivalent Tomonoga-Luttinger model. We analyze the spin-charge separation and transport property as the difference between the two tunneling parameter increases. We suggest that cold Fermi gases trapped in a bichromatic optical lattice and coupled quantum dots offer the opportunity to measure these effects in a convenient manner. We also study the classical Ising chain with two tunneling parameters. We found that the classical two-point correlator decreases as the difference between the two tunneling parameter increases.
In this work, we present an improved version of the formulation of the four auxiliary bosons originally proposed by Kotliar and Ruckenstein, adapted to describe a quantum dot in the Kondo regime with finite electron-electron interaction U. The proposed refinement provides a more accurate treatment of strong electronic correlations while preserving the analytical tractability of the original approach, thereby enabling a reliable description of transport properties in nanoscale systems. Benchmark calculations show good agreement with the results of the numerical renormalization group, supporting the validity of the improved formulation. Our approach therefore provides an efficient and robust framework for investigating transport through strongly correlated quantum dots.
A model for the coherent transport of excitons along linear, one-dimensional arrays of quantum dots accounting for spontaneous emission is presented. The interdot coupling is made by means of the coherent emission and reabsorption of photons. The long-range nature of the coupling leads to nontrivial dynamics in the polarization and in the exciton population with qualitatively different behaviors for chains with periods just less than or just greater than integer multiples of half the wavelength of the optical transition. Biexponential radiative decay of an initially well-localized population is predicted.