J. Phys. Soc. Jpn. 72 (2003) Supplement C pp. 109-110  |Previous Article| |Next Article|  |Table of Contents|
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Proc. Waseda Int. Symp. on Fundamental Physics –New Perspectives in Quantum Physics–

Frequency Dependence of Quantum Localization in a Periodically Driven System

Manabu Machida, Keiji Saito and Seiji Miyashita

Under a periodically driven external field or a temporally oscillating boundary, quantum few-body systems whose corresponding classical systems show chaos are modeled by the random matrices with an oscillating parameter. In such systems, time evolution of the system from the ground state shows the quantum diffusion. However, due to periodic oscillation of the parameter, quantum interference effect prevents the energy of the system from diverging and the energy saturates after some transient time. We show an example where the energy eventually fluctuates around a constant saturated energy. Since the value of this saturated energy depends on the frequency of the driving, we also investigate the dependence of the saturated energy on the frequency in the small frequency region.

KEYWORDS: quantum dynamics, quantum localization, random matrix
URL: http://jpsj.ipap.jp/link?JPSJS/72SC/109/

References

1. F. Haake: Quantum Signature of Chaos (Springer, Berlin, 2001) 2nd ed.
2. M. Wilkinson: J. Phys. A 21 (1988) 4021[IoP STACKS].
3. A. Bulgac, G. D. Dang and D. Kusnezov: Phys. Rev. E 54 (1996) 3468[APS].
4. D. Cohen and T. Kottos: Phys. Rev. Lett. 85 (2000) 4839[APS].
5. M. Wilkinson, M. Fenigold and D. M. Leitner: J. Phys. A 24 (1991) 175[IoP STACKS].
6. M. Machida, K. Saito and S. Miyashita: J. Phys. Soc. Jpn. 71 (2002) 2427[IPAP].
7. B. V. Chirikov, F. M. Izrailev and D. L. Shepelyansky: Physica D 33 (1988) 77[CrossRef].
8. L. Landau: Phys. Z. Sowjetunion 2 (1932) 46.
9. C. Zener: Proc. R. Soc. London, Ser. A 137 (1932) 696.