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Localization-delocalization transition in a system of quantum kicked rotors

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Creffield, Charles E. and Hur, G. and Monteiro, T. S. (2006) Localization-delocalization transition in a system of quantum kicked rotors. Physical review letters, 96 (2). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.96.024103


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Abstract

The quantum dynamics of atoms subjected to pairs of closely spaced delta kicks from optical potentials are shown to be quite different from the well-known paradigm of quantum chaos, the single delta-kick system. We find the unitary matrix has a new oscillating band structure corresponding to a cellular structure of phase space and observe a spectral signature of a localization-delocalization transition from one cell to several. We find that the eigenstates have localization lengths which scale with a fractional power L similar to h(-0.75) and obtain a regime of near-linear spectral variances which approximate the "critical statistics" relation Sigma(2)(L)similar or equal to chi L approximate to 1/2(1-nu)L, where nu approximate to 0.75 is related to the fractal classical phase-space structure. The origin of the nu approximate to 0.75 exponent is analyzed.


Item Type:Article
Additional Information:

©2006 The American Physical Society.
This work was supported by the EPSRC. We thank Shmuel Fishman and Antonio Garcia-Garcia for helpful comments and advice.

Uncontrolled Keywords:Spectral statistics; Barriers; Cantori; Models; Chaos
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:33580
Deposited On:14 Oct 2015 16:24
Last Modified:14 Oct 2015 16:24

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