Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.88.052919
Title: Exponential quantum spreading in a class of kicked rotor systems near high-order resonances
Authors: Wang, H.
Wang, J.
Guarneri, I.
Casati, G.
Gong, J. 
Issue Date: 27-Nov-2013
Source: Wang, H., Wang, J., Guarneri, I., Casati, G., Gong, J. (2013-11-27). Exponential quantum spreading in a class of kicked rotor systems near high-order resonances. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 88 (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.88.052919
Abstract: Long-lasting exponential quantum spreading was recently found in a simple but very rich dynamical model, namely, an on-resonance double-kicked rotor model. The underlying mechanism, unrelated to the chaotic motion in the classical limit but resting on quasi-integrable motion in a pseudoclassical limit, is identified for one special case. By presenting a detailed study of the same model, this work offers a framework to explain long-lasting exponential quantum spreading under much more general conditions. In particular, we adopt the so-called "spinor" representation to treat the kicked-rotor dynamics under high-order resonance conditions and then exploit the Born-Oppenheimer approximation to understand the dynamical evolution. It is found that the existence of a flat band (or an effectively flat band) is one important feature behind why and how the exponential dynamics emerges. It is also found that a quantitative prediction of the exponential spreading rate based on an interesting and simple pseudoclassical map may be inaccurate. In addition to general interests regarding the question of how exponential behavior in quantum systems may persist for a long time scale, our results should motivate further studies toward a better understanding of high-order resonance behavior in δ-kicked quantum systems. © 2013 American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/96575
ISSN: 15393755
DOI: 10.1103/PhysRevE.88.052919
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

7
checked on Feb 20, 2018

WEB OF SCIENCETM
Citations

5
checked on Nov 16, 2017

Page view(s)

22
checked on Feb 22, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.