Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 70: Quanteninformation: Konzepte und Methoden 6
Q 70.3: Talk
Friday, March 16, 2012, 14:30–14:45, V7.03
Fermionic quantum systems: controllability and the parity superselection rule — •Robert Zeier1, Zoltán Zimborás2, Michael Keyl2, and Thomas Schulte-Herbrüggen1 — 1Department Chemie, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching, Germany — 2Institute for Scientific Interchange Foundation, Villa Gualino, Viale Settimio Severo 75, 10131 Torino, Italy
We study controllability and simulability of fermionic quantum systems which observe the parity superselection rule. Superselection rules describe the existence of non-trivial symmetries (e.g., the parity operator) that commute with all physical observables. We present examples of fermionic sytems such as quasifree and translation-invariant ones and develop readily applicable conditions for the controllability of fermionic systems by studying their symmetries and generalizing the work of [1]. As an application, we discuss under which conditions fermionic and spin systems can simulate each other.
[1] R. Zeier and T. Schulte-Herbrüggen, J. Math. Phys. 52, 113510 (2011)