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Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Quantum Dynamics, Decoherence and Quantum Information II

DY 3.7: Talk

Monday, March 11, 2013, 16:45–17:00, H39

The Casimir companion X — •Frank Boldt1, James D. Nulton2, Bjarne Andresen3, Peter Salamon2, and Karl Heinz Hoffmann11Institute of Physics, Chemnitz University of Technology - D-09107 Chemnitz, Germany — 2Department of Mathematical Science, San Diego State University - San Diego, California, 92182, USA — 3Niels Bohr Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen , Denmark

In this talk a new invariant of motion for Hamiltonian systems is presented: the Casimir companion. For systems with simple dynamical algebras (e.g., coupled spins, harmonic oscillators) our new invariant is useful in problems that consider adiabatically varying the parameters in the Hamiltonian. In particular, it has proved useful in optimal control of changes in these parameters. The Casimir companion also allows simple calculation of the entropy of non-equilibrium ensembles.

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