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Quantum transport in interacting two-dimensional systems

Senz, Volkmar

Published Jan 1, 2002• 1 citation
Publisher
DOI
10.3929/ethz-a-004320956

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We give exact solutions for correlated two-photon transport in one-dimensional waveguide coupled to a two-level system, using a Bethe-Ansatz-like approach. The S-matrix is explicitly constructed to account for the transport properties of the photons. We show that the scattering eigenstates of this system include a two-photon bound state that passes through the two-level system as a composite single particle. Also, the two-level system can induce effective attractive or repulsive interactions in space for photons. This general procedure can be applied to the Anderson model as well.
We investigate the transport properties of a one-dimensional weakly interacting spin-1/2 fermionic lattice with a periodically driven impurity. Using the mean-field approximation, we extend the analysis of a noninteracting system to include weak on-site interactions. In a system without interactions and for small driving amplitude, a Fano resonance emerges in the transmission spectrum at the energy of the incoming particle equal to the driving frequency. The effect of weak interactions consists of a shift and deformation of the resonance. Moreover, for higher values of the drive amplitude, the interplay between interactions and periodic driving results in the formation of two distinct Fano resonances, highlighting the non-trivial effects of interactions on quantum transport. Our results could be relevant on optical platforms to achieve light sensing and manipulation.
In this work we considered light interaction with two-level quantum systems chirally coupled to a single guided mode with account for a spin-locking effect. The chiral coupling allows achieving asymmetric interaction between the two-level systems, which strongly affects the light scattering of a guided mode of an optical nanofiber by one-dimensional atomic chain. We have also build an analytical model of unidirectional transport of quantum excitation and verified it with modelling of atoms coupled with surface plasmon polariton mode of a metallic nanowire. In particularly, we showed the tolerance of the unidirectionally coupled systems over the positional disorder of the two-level systems.