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Coarse-Grained Picture for Controlling Quantum Chaos

Toshiya Takami·Hiroshi Fujisaki·Takayuki Miyadera
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Abstract

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.

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Toshiya Takami, Hiroshi Fujisaki, Takayuki Miyadera. 2004-03-02. Coarse-Grained Picture for Controlling Quantum Chaos. https://doi.org/10.1002/0471712531.ch9

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