论文信息 - On the controllability of bilinear quantum systems

On the controllability of bilinear quantum systems

We present in this paper controllability results for quantum systems interacting with lasers. A negative result for infinite dimensional spaces serves as a starting point for a finite dimensional analysis. We show that under physically reasonable hypothesis in such systems we can control the population of the eigenstates. Applications are given for a five-level system.

Gabriel Turinici | G. Turinici

[1] Herschel Rabitz,et al. Coherent Control of Quantum Dynamics: The Dream Is Alive , 1993, Science.

[2] Claude Le Bris,et al. Control theory applied to quantum chemistry: some tracks , 2000 .

[3] T. Tarn,et al. On the controllability of quantum‐mechanical systems , 1983 .

[4] Samuel H. Tersigni,et al. On using shaped light pulses to control the selectivity of product formation in a chemical reaction: An application to a multiple level system , 1990 .

[5] K. Kime,et al. Control of transition probabilities of the quantum-mechanical harmonic oscillator , 1993 .

[6] A. G. Butkovskii,et al. Control of Quantum-Mechanical Processes and Systems , 1990 .

[7] Stuart A. Rice,et al. Control of selectivity of chemical reaction via control of wave packet evolution , 1985 .

[8] Optimal control of selectivity of unimolecular reactions via an excited electronic state with designed lasers , 1992 .