Dresden 2020 – wissenschaftliches Programm
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TT 66.3: Poster
Donnerstag, 19. März 2020, 15:00–19:00, P2/EG
Applications of a general duality relation in fermionic open systems — •Jens Schulenborg1, Valentin Bruch2, Maarten Wegewijs2,3, and Janine Splettstoesser4 — 1Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, Denmark — 2Institute for Theory of Statistical Physics, RWTH Aachen, Germany & JARA-FIT — 3Peter Grünberg Institut, Forschungszentrum Jülich, Germany — 4Department of Microtechnology and Nanoscience, Chalmers University of Technology, Göteborg, Sweden
Complex Hamiltonians of closed quantum systems are successfully simplified with symmetries, topology or mappings to more easily understandable systems. The ubiquity of open systems thus makes an analogous treatment of their effective Liouvillian highly desirable. However, dissipation and memory due to the coupled environment can substantially reduce the number of symmetry relations to draw from.
For a large class of fermionic systems with bilinear system-bath couplings, one such relation derives merely from Pauli exclusion and the principle of total fermion-parity conservation: the fermionic duality. This duality yields insights into the dynamics of the system by mapping it to a dual model with inverted energies. Focussing on weakly coupled, Markovian environments, this poster gives an overview of recent and potential future applications of fermionic duality. We address in particular non-equilibrium, stationary and time-dependent charge- and energy transport through nanoscale devices characterized by multiple orbitals with strong many-body interactions.
 J. Schulenborg et al.: Phys. Rev. B 93, 081411 (2016)