Absence of commensurability in magnetic antidot arrays with classical chaos

1999 ◽  
Vol 60 (16) ◽  
pp. 11535-11539 ◽  
Author(s):  
Ralf Hennig ◽  
Michael Suhrke
2000 ◽  
Vol 84 (3) ◽  
pp. 542-545 ◽  
Author(s):  
Oleg Yevtushenko ◽  
Gerd Lütjering ◽  
Dieter Weiss ◽  
Klaus Richter

1999 ◽  
Vol 60 (4) ◽  
pp. 2561-2570 ◽  
Author(s):  
Rolf R. Gerhardts ◽  
Johannes Groß

1988 ◽  
Vol 02 (01) ◽  
pp. 103-120 ◽  
Author(s):  
AVRAHAM COHEN ◽  
SHMUEL FISHMAN

The classical and quantal behavior of a particle in an infinite potential well, that is periodically kicked is studied. The kicking potential is K|q|α, where q is the coordinate, while K and α are constants. Classically, it is found that for α > 2 the energy of the particle increases diffusively, for α < 2 it is bounded and for α = 2 the result depends on K. An approximate formula for the diffusion coefficient is presented and compared with numerical results. For quantum systems that are chaotic in the classical limit, diffusive growth of energy takes place for a short time and then it is suppressed by quantal effects. For the systems that are studied in this work the origin of the quantal localization in energy is related to the one of classical chaos.


2012 ◽  
Vol 101 (1) ◽  
pp. 012407 ◽  
Author(s):  
W. J. Gong ◽  
W. J. Yu ◽  
W. Liu ◽  
S. Guo ◽  
S. Ma ◽  
...  

2012 ◽  
Vol 111 (6) ◽  
pp. 063902 ◽  
Author(s):  
Ruihua Cheng ◽  
A. Rosenberg ◽  
D. N. McIlroy ◽  
Z. Holman ◽  
D. Zhang ◽  
...  

2008 ◽  
Vol 103 (7) ◽  
pp. 07D509 ◽  
Author(s):  
E. Mengotti ◽  
L. J. Heyderman ◽  
F. Nolting ◽  
B. R. Craig ◽  
J. N. Chapman ◽  
...  

Physics ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 739-746
Author(s):  
Andres Mauricio Kowalski ◽  
Angelo Plastino ◽  
Gaspar Gonzalez

In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.


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