Mainz 2017 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 1: Quantum Information: Concepts and Methods I
Q 1.3: Talk
Monday, March 6, 2017, 15:30–15:45, P 2
Quantum control of few level systems — Marcus Theisen1 and •Sandro Wimberger1,2,3 — 1ITP, Heidelberg University, 69120 Heidelberg, Germany — 2DiFeST, Università degli Studi di Parma, 43124 Parma, Italy — 3INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, Italy
We present and discuss possible ways to exert quantum control on few level systems. The focus is on finding protocols that drive the system’s dynamics exactly. These protocols describe the temporal developement of control parameters, e.g., external fields in spin resonance experiments. In particular, we are interested in superadiabatic protocols (1) which allow for adiabatic population transfer between quantum states. This type of transitionless quantum driving is illustrated for the Landau-Zener model. Similar control protocols are tested for more complex 2 and 3 level systems numerically. They are found to result in the desired behaviour. Future prospects include possible ways to stir the 4 level quantum system as a basic model for two interacting Qbits. All protocols could turn out to be useful in quantum computation.
(1) M. V. Berry, Transitionless quantum driving, J. Phys. A, 42 (365303), 2009