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DY: Fachverband Dynamik und Statistische Physik
DY 56: Many-body Quantum Dynamics II (joint session DY/TT)
DY 56.4: Vortrag
Freitag, 22. März 2024, 10:00–10:15, A 151
Real-time transport of short electron pulses trough an impurity on a 1D quantum wire — •Thomas Kloss1,2, Yuriel Nunez Fernandez1,2, and Xavier Waintal2 — 1Univ. Grenoble Alpes, CNRS, Institut Néel, 38000 Grenoble, France — 2Université Grenoble Alpes, CEA, Grenoble INP, IRIG, Pheliqs, F-38000 Grenoble, France
We study the transmission of pulses which are propagating through a weakly coupled impurity site, which is located on an infinitely long 1D tight-binding chain. For short pulses, the number of transmitted charges deviates from the adiabatic regime and shows a periodic dependence on the number of injected charges. In the limit of ultrashort pulses an analytic formula can be derived which matches perfectly the results obtained by numerical simulations using the Tkwant software. In a next step, a Hubbard-like interaction with strength U is added on the impurity site. Onside density and currents are obtained in a perturbative expansion in U using a real-time Green function approach. We apply a tensor-train technique to integrate over the high-dimensional integrals, which has been shown to outperform diagrammatic quantum Monte Carlo by orders of magnitude in speed an accuracy. The results are compared to self-consistent mean-field calculations and to the non-interacting limit.
Keywords: Pulses; Impurity; Tensor train; interacting; real-time