Reinhold Blumel

Teaching and Research

List of Publications
Curriculum Vitae
Courses

Research

QUANTUM CHAOS

Ray Splitting Quantum Graphs Microwave Ionization Chaotic Scattering Chaos in Atomic Physics

EXACT SOLUTIONS OF “UNSOLVABLE” PROBLEMS

Step-in-a-Box
Finite Quantum Square Well

SUPER COMPUTING WITH RECYCLED PC’s

The quest for manipulating matter at the atomic scale is currently one of the central directions in research and technology. Not so long ago the founders of quantum mechanics thought that experimenting with atoms and ions is fundamentally impossible. Well, they were wrong. But it was only fairly recently, well after the final formulation of nonrelativistic quantum theory in the mid 1920′s that first individual electrons and then individual ions and atoms were trapped in electrodynamical devices called atom and ion traps.

My research focuses on (i) design of novel electrostatic and electrodynamic particle traps and (ii) the investigation of the dynamics of trapped neutral and charged particles.

Paul Trap

Publications

R. Blümel, J. M. Chen, E. Peik, W. Quint, W. Schleich, Y. R. Shen and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Nature 334, 309–313 (1988).
R. Blümel, C. Kappler, W. Quint and H. Walther, Chaos and Order of Laser Cooled Ions in a Paul-Trap, Phys. Rev. A 40, 808–823 (1989).
R. Blümel, Hetero Charged Ion Clusters in a Paul Trap, Z. Phys. D 16, 293–297 (1990).
R. Blümel, E. Peik, W. Quint, and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Acta Physica Polonica A 78, 419–432 (1990).
R. Blümel, On the Integrability of the Two-ion Paul-Trap in the Pseudo Potential Approximation, Phys. Lett. A 174, 174–175 (1993).
R. Blümel, Comment on Regular and Chaotic Motions in Ion Traps: A Nonlinear Analysis of Trap Equations, Phys. Rev. A 48, 854–855 (1993).
M. Moore and R. Blümel, Quantum Manifestations of Order and Chaos in the Paul-Trap, Phys. Rev. A 48, 3082–3091 (1993).
J. W. Emmert, M. Moore and R. Blümel, Prediction of a deterministic melting transition of two-ion crystals in a Paul trap, Phys. Rev. A 48, 1757–1760 (1993).
M. G. Moore and R. Blümel, Prediction of an Alignment Transition Region of Two-ion Crystals in a Paul Trap, Phys. Rev. A 50, R4453–R4456 (1994).
R. Blümel, Cooling-induced melting of ion crystals in a Paul trap, Phys. Rev. A 51, 620–624 (1995).
R. Blümel, An introduction to chaos in dynamic ion traps, Physica Scripta T 59, 126–130 (1995).
R. Blümel, Nonlinear Dynamics of Trapped Ions, Physica Scripta T 59, 369–379 (1995).
M. G. Moore and R. Blümel, An Improved Pseudo Potential for the Two-Ion Paul Trap, Physica Scripta T 59, 429–433 (1995).
M. G. Moore and R. Blümel, Prediction of Deterministic Melting Regions of Two and Three Laser-cooled Ions in a Paul Trap, Physica Scripta T 59, 434–437 (1995).
R. Alheit, X. Z. Chu, M. Hoefer, M. Holzki, G. Werth, and R. Blümel, Nonlinear Collective Oscillations of an Ion Cloud in a Paul Trap, Phys. Rev. A 56, 4023–4031 (1997).
M. A. N. Razvi, X. Z. Chu, R. Alheit, G. Werth and R. Blümel, Fractional frequency collective parametric resonances of an ion cloud in a Paul trap, Phys. Rev. A 58, R34–R37 (1998).
B. Reusch and R. Blümel, Crystallized Vortex Crystals, Eur. Phys. J. D 3, 123–127 (1998).
V. I. Savichev and R. Blümel, Squeezing close to the stability boundaries of the Paul trap, Phys. Lett. A 309, 211–214 (2003).
I. Garrick-Bethell, Th. Clausen, and R. Blümel, Universal instabilities of radio-frequency traps, Phys. Rev. E 69, 056222 (2004), pp. 1–15.