Measurements on quantum chaotic systems |
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| Institution: | 1. Department of Physics, National Central University, Taoyuan, Taiwan;2. Graduate School of Engineering, Osaka University, Osaka, Japan;3. Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan;4. National Institute for Fusion Science, National Institutes of Natural Sciences, Toki, Japan;5. Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Fukuoka, Japan;6. Institute of Laser Engineering, Osaka University, Osaka, Japan;7. Department of Physics and Mathematics, Aoyama Gakuin University, Japan;8. Laboratoire pour l''Utilisation des Lasers Intenses, Universite Paris VI – Ecole Polytechnique, France |
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| Abstract: | The problems of the feedback of a measurement on the dynamics of quantum mechanical systems, which are chaotic in some way are studied. The system can be Hamiltonian or dissipative. For the latter case it is shown that measurements can be devised which do not affect the evolution of the system. Hamiltonian systems are discussed in terms of two models, one being the kicked quantum rotator and the other a two-state system driven by a field with two incommensurate frequencies. Both destructive and continuous measurements are discussed. For the quantum kicked rotator, in the absence of measurement, there is Anderson localisation due to quantum interference. Surprisingly the act of measurement, which might be expected to destroy the delicate interference, does not lead to delocalisation. Measurements however destroy the time-reversal invariance of the evolution of the Hamiltonian systems. In most circumstances it is shown that quantum chaotic systems can be effectively measured. |
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