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Phys. Rev. E 74, 066208 (2006) [5 pages]

Spectral form factor near the Ehrenfest time

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Piet W. Brouwer and Saar Rahav
¹Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

Chushun Tian
²Institut für Theoretische Physik, Universität zu Köln, Köln, 50937, Germany

Received 13 July 2006; revised 18 October 2006; published 28 December 2006

Wecalculate the Ehrenfest-time dependence of the leading quantum correction tothe spectral form factor of a ballistic chaotic cavity usingperiodic orbit theory. For the case of broken time-reversal symmetry,when the quantum correction to the form factor involves twosmall-angle encounters of classical trajectories, our result differs from thatpreviously obtained using field-theoretic methods [Tian and Larkin, Phys. Rev.B 70, 035305 (2004)]. While we believe that the existingfield-theoretic calculation is technically flawed, the question whether the fieldtheoretic and periodic-orbit approaches agree when more than one small-angleencounter of classical orbits is involved remains unanswered.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.066208
DOI:	10.1103/PhysRevE.74.066208
PACS:	05.45.Mt; 73.20.Fz 05.45.Mt Semiclassical methods in quantum chaos 73.20.Fz Weak or Anderson localization (surface/interface states) YEAR: 2006
KEYWORDS:	chaos, quantum theory

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O. Bohigas, M.-J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
R. A. Smith, I. V. Lerner, and B. L. Altshuler, Phys. Rev. B 58, 10343 (1998).
C. Tian and A. I. Larkin, Phys. Rev. B 70, 035305 (2004).
S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland, Phys. Rev. Lett. 93, 014103 (2004);

Phys. Rev. E 72, 046207 (2005)

I. L. Aleiner and A. I. Larkin, Phys. Rev. B 54, 14423 (1996).
I. L. Aleiner and A. I. Larkin, Phys. Rev. E 55, R1243 (1997). Note that a mistake in this work was corrected in Ref. 5.
O. Agam, I. Aleiner, and A. Larkin, Phys. Rev. Lett. 85, 3153 (2000).
M. G. Vavilov and A. I. Larkin, Phys. Rev. B 67, 115335 (2003).
P. G. Silvestrov, M. C. Goorden, and C. W. J. Beenakker, Phys. Rev. Lett. 90, 116801 (2003).
P. W. Brouwer and S. Rahav, Phys. Rev. B 74, 075322 (2006).
P. W. Brouwer and S. Rahav, Phys. Rev. B 74, 085313 (2006).
J. Tworzydlo, A. Tajic, and C. W. J. Beenakker, Phys. Rev. B 69, 165318 (2004).
P. Jacquod and E. V. Sukhorukov, Phys. Rev. Lett. 92, 116801 (2004).
E. B. Bogomolny and J. P. Keating, Phys. Rev. Lett. 77, 1472 (1996).
O. Agam, B. L. Altshuler, and A. V. Andreev, Phys. Rev. Lett. 75, 4389 (1995).
A. V. Andreev, O. Agam, B. D. Simons, and B. L. Altshuler, Phys. Rev. Lett. 76, 3947 (1996).
K. B. Efetov and V. R. Kogan, Phys. Rev. B 67, 245312 (2003).

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