Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 32: Transport: Nanomechanics and Optomechanics (jointly with CPP, DY, BP, DF)
TT 32.1: Talk
Tuesday, March 21, 2017, 14:00–14:15, HSZ 201
Classical Stückelberg interferometry of a nanomechanical two-mode system — •Maximilian Seitner1,2, Hugo Ribeiro3, Johannes Kölbl1, Thomas Faust2, Jörg Kotthaus2, and Eva Weig1,2 — 1Departement of Physics, University of Konstanz, 78457 Konstanz, Germany — 2Center for NanoScience (CeNS) and Fakultät für Physik, Ludwig-Maximilians-Universität, Geschwister-Scholl-Platz 1, München 80539, Germany — 3Department of Physics, McGill University, Montreal, Quebec, H3A 2T8, Canada
Stückelberg interferometry is a phenomenon well established for quantum mechanical two-level systems. Here, we present classical two mode interference of a nanomechanical two-mode system, realizing a classical analog of Stückelberg interferometry. Our experiment relies on the coherent energy exchange between two strongly coupled, high quality factor nanomechanical resonator modes. Furthermore, we discuss an exact theoretical solution for the double passage Stückelberg problem by expanding the established finite time Landau-Zener single passage solution. For the parameter regime explored in the experiment, we find the Stückelberg return probability in the classical version of the problem to formally coincide with the quantum case which reveals the analogy of the return probabilities in the quantum mechanical and the classical version of the problem. This result qualifies classical two-mode systems at large to simulate quantum mechanical interferometry.