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Kolovsky, A. R.
Interplay between Anderson and Stark Localization in 2D Lattices / A. R. Kolovsky // Phys. Rev. Lett. - 2008. - Vol. 101, Is. 19. - Ст. 190602, DOI 10.1103/PhysRevLett.101.190602. - Cited References: 20. - The author gratefully acknowledges discussions with X. Zotos and financial support under the Project No. FP6032980-2 within the 6th Framework Programme. . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
BOSE-EINSTEIN CONDENSATE
   CHARACTERISTIC VECTORS
   INFINITE DIMENSIONS
   BLOCH OSCILLATIONS
   BORDERED MATRICES
   EIGENFUNCTIONS
   SUPERLATTICES
   AC
Аннотация: This Letter studies the dynamics of a quantum particle in 2D lattices with on-site disorder in the presence of a static field. It is shown that the particle is localized along the field direction, while in the orthogonal direction to the field it shows diffusive dynamics for algebraically large times. For weak disorder an analytical expression for the diffusion coefficient is obtained by mapping the problem to a band random matrix. This expression is confirmed by numerical simulations of the particle's dynamics, which also indicate the existence of a universal equation for the diffusion coefficient, valid for an arbitrary disorder strength.

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Держатели документа:
[Kolovsky, A. R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, A. R.] Siberian Fed Univ, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Коловский, Андрей Радиевич
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Gluck, M.
Fractal stabilization of Wannier-Stark resonances / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P. 255-260, DOI 10.1209/epl/i2000-00345-2. - Cited References: 17 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   FIELDS
   STATISTICS
   QUANTUM
   SYSTEMS
   AC
   DC
   ELECTRONS
Аннотация: The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as a function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum-optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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