Ballistic Conductance Fluctuation and Quantum Chaos in Sinai Billiard

1997 ◽  
Vol 66 (3) ◽  
pp. 712-716 ◽  
Author(s):  
Shiro Kawabata ◽  
Katsuhiro Nakamura
Keyword(s):  
Quantum Chaos ◽  
Ballistic Conductance ◽  
Sinai Billiard ◽  
Conductance Fluctuation

scholarly journals Quantum chaos for two-dimensional Sinai billiard

2014 ◽  
Vol 63 (14) ◽  
pp. 140507
Author(s):  
Qin Chen-Chen ◽  
Yang Shuang-Bo
Keyword(s):  
Quantum Chaos ◽  
Two Dimensional ◽  
Sinai Billiard

scholarly journals Quantum chaos inside space-temporal Sinai billiards

2016 ◽  
Vol 13 (06) ◽  
pp. 1650082 ◽  
Author(s):  
Andrea Addazi
Keyword(s):  
Quantum Chaos ◽  
Time Delays ◽  
Relativistic Quantum ◽  
Relativistic Quantum Field Theory ◽  
Naked Singularities ◽  
Sinai Billiards ◽  
Sinai Billiard ◽  
General Aspects ◽  
Scattering Time ◽  
Semiclassical Regime

We discuss general aspects of non-relativistic quantum chaos theory of scattering of a quantum particle on a system of a large number of naked singularities. We define such a system space-temporal Sinai billiard. We discuss the problem in semiclassical approach. We show that in semiclassical regime the formation of trapped periodic semiclassical orbits inside the system is unavoidable. This leads to general expression of survival probabilities and scattering time delays, expanded to the chaotic Pollicott–Ruelle resonances. Finally, we comment on possible generalizations of these aspects to relativistic quantum field theory.

scholarly journals REGULARIZATION OF TUNNELING RATES WITH QUANTUM CHAOS

2012 ◽  
Vol 22 (10) ◽  
pp. 1250247 ◽  
Author(s):  
LOUIS M. PECORA ◽  
HOSHIK LEE ◽  
DONG-HO WU
Keyword(s):  
Quantum Chaos ◽  
Chaotic Behavior ◽  
Energy Splitting ◽  
Energy Relation ◽  
Antisymmetric State ◽  
Sinai Billiard ◽  
Classical Behavior ◽  
To Come ◽  
Double Wells ◽  
Tunneling Rates

We study tunneling in various shaped, closed, two-dimensional, flat-potential, double wells by calculating the energy splitting between symmetric and antisymmetric state pairs. For shapes that have regular or nearly regular classical behavior (e.g. rectangular or circular) the tunneling rates vary greatly over wide ranges often by several orders of magnitude. However, for well shapes that admit more classically chaotic behavior (e.g. the stadium, the Sinai billiard) the range of tunneling rates narrows, often by orders of magnitude. This dramatic narrowing appears to come from destabilization of periodic orbits in the regular wells that produce the largest and smallest tunneling rates and causes the splitting versus energy relation to take on a possibly universal shape. It is in this sense that we say the quantum chaos regularizes the tunneling rates.

Quantum Chaos

1999 ◽  
Author(s):  
Hans-Jürgen Stöckmann
Keyword(s):  
Quantum Chaos

Quantum chaos: diffusion photoeffect in hydrogen

1987 ◽  
Vol 152 (5) ◽  
pp. 168
Author(s):  
D.L. Shepelyanskii
Keyword(s):  
Quantum Chaos
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