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Coarse-Grained Picture for Controlling Quantum Chaos

By Toshiya Takami and Takayuki Miyadera


We propose a coarse-grained picture to analyze control problems for quantum chaos systems. Using optimal control theory, we first show that almost perfect control is achieved for random matrix systems and a quantum kicked rotor. Second, under the assumption that the controlled dynamics is well described by a Rabi-type oscillaion between unperturbed states, we derive an analytic expression for the optimal field. Finally we numerically confirm that the analytic field can steer an initial state to a target state in random matrix systems

Topics: Rabi frequency, optimal control theory, random matrix, kicked rotor, quantum chaos, coarse grain
Year: 2004
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