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RESEARCH INTERESTS
Currently, I am also exploring a general analytical technique for solving time-dependent operator equations through a succession of unitary integrations. Applications to laser-atom interactions and to the Bloch-Liouville equation for a (2j+1)-level system in time-dependent fields are of particular interest, along with current topics in nuclear magnetic resonance and quantum bits. The method has also been extended to dissipation and decoherence which is of great interest in quantum information and quantum computing.
CURRENT AND SELECTED PUBLICATIONS
- Rau, A.R.P., and Uskov, D., "Effective Hamiltonians in quantum physics: Resonances and Geometric Phase," Physica Scripta 74 (2), C31-C35 (2006).
- Gueorguiev, V.G., Rau, A.R.P., and Draayer, J.P., "Confined one dimensional harmonic oscillator as a two-mode system," American Journal of Physics 74 (5), 394-403 (2006).
- Rau, A.R.P., Selvaraj, G., and Uskov, D., "Four-level and two-qubit systems, subalgebras, and unitary integration," Phys. Rev. A 71 (6), Art. No. 062316 (2005).
- Rau, A.R.P., "Historical notes on Feshbach and shape resonances," Physics Today 58 (2), 13 (2005).
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