Regensburg 2016 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
TT: Fachverband Tiefe Temperaturen
TT 16: Transport: Quantum Dots, Quantum Wires, Point Contacts
TT 16.6: Vortrag
Montag, 7. März 2016, 16:30–16:45, H21
Gauge freedom in pumping: interaction-induced geometric phases, adiabatic-response, and counting statistics — •Thilo Plücker1, Maarten Wegewijs2, and Janine Splettstoesser3 — 1Institute for Quantum Information, RWTH Aachen, 52056 Aachen, Germany — 2Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany — 3Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41298 Göteborg, Sweden
In open quantum systems, adiabatic transport of various quantities such as charge, spin or energy can be realized by the slow and cyclic variation of two or more system parameters. An interesting example is offered by a quantum dot coupled to electrodes. Modulating in time its prime control parameters - the gate and bias voltage - a pumping current is generated, which is entirely due to the strong onsite Coulomb interaction [1].
In this contribution, we will show how to identify the geometric nature of this interaction-induced pumping of various quantities as a consequence of a generic gauge freedom of observables in open quantum systems using Landsberg’s approach [2] to dissipative systems with symmetry. We present a general adiabatic pumping formula that shows that any interacting multilevel quantum dot in the wide-band limit exhibits an interaction-induced geometric phase. Our approach also sheds new light on Sinitsyn’s [3] counting statistics approach to pumping.
[1] F. Reckermann, J. Splettstoesser, and Maarten R. Wegewijs,
PRL 104, 226803 (2010)
[2] A. S. Landsberg, PRL 69, 865 (1992)
[3] N. A. Sinitsyn, J. Phys. A 42, 193001 (2009)