Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 13: Open and Complex Quantum Systems I
FM 13.5: Talk
Montag, 23. September 2019, 15:15–15:30, 3042
Quantum transport between finite reservoirs — •Giulio Amato1,2,3, Heinz-Peter Breuer1, Sandro Wimberger2,3, Alberto Rodriguez1, and Andreas Buchleitner1 — 1Albert-Ludwigs-Universität Freiburg — 2Universita' degli Studi di Parma — 3Istituto Nazionale di Fisica Nucleare
We study non-interacting many-particle quantum transport across an open quantum system connecting two finite reservoirs which are initially prepared with a finite particle number imbalance. Equilibration of the reservoirs leads to a non-stationary current which vanishes once a balanced particle distribution is reached. This behaviour has been qualitatively observed in quantum transport experiments with ultracold fermionic atoms, with tunable interparticle interactions [1]. We present a theoretical model based on a set of coupled quantum-classical master equations, describing the evolution of the system together with the temporal variation of the particle number in the reservoirs. We apply this formalism to investigate nonstationary currents across a one dimensional (Bose-)Hubbard lattice. Furthermore, characteristic differences between the fermionic and bosonic dynamics will be highlighted.
[1] S. Krinner, T. Esslinger and J.-P. Brantut, J. Phys.: Condens. Matter 29, 343003 (2017)