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Phys. Rev. Lett. 77, 4536–4539 (1996)

Field Theory of the Quantum Kicked Rotor

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Alexander Altland and Martin R. Zirnbauer
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Received 20 June 1996; published in the issue dated 25 November 1996

The quantum kicked rotor is investigated by field theoretical methods. It is shown that the effective theory describing the long wavelength physics of the system is precisely the supersymmetric nonlinear σ model for quasi-one-dimensional metallic wires. This proves that the analogy between chaotic systems with dynamical localization and disordered metals can indeed be exact. The role of symmetries is discussed.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4536
DOI:
10.1103/PhysRevLett.77.4536
PACS:
05.45.+b, 03.65.Sq, 11.10.Lm, 72.15.Rn

See Also

Comment: Giulio Casati, F. M. Izrailev, and V. V. Sokolov, Comment on “Dynamical Theory of Quantum Chaos or a Hidden Random Matrix Ensemble?”, Phys. Rev. Lett. 80, 640 (1998).

Reply: Alexander Altland and Martin R. Zirnbauer, Altland and Zirnbauer Reply:, Phys. Rev. Lett. 80, 641 (1998).