Quantum-Classical Correspondence in Many-Dimensional Quantum Chaos

1988 ◽  
Vol 61 (6) ◽  
pp. 659-661 ◽  
Author(s):  
S. Adachi ◽  
M. Toda ◽  
K. Ikeda
Keyword(s):  
Quantum Chaos ◽  
Classical Correspondence

Quantum-Classical Correspondence and Quantum Chaos

1992 ◽  
pp. 66-107
Author(s):  
Wei-Min Zhang ◽  
Da Hsuan Feng ◽  
Jian-Min Yuan
Keyword(s):  
Quantum Chaos ◽  
Classical Correspondence

scholarly journals Dynamical Aspects of Quantum-Classical Correspondence in Quantum Chaos

1989 ◽  
Vol 98 ◽  
pp. 323-375 ◽  
Author(s):  
Mikito Toda ◽  
Satoshi Adachi ◽  
Kensuke Ikeda
Keyword(s):  
Quantum Chaos ◽  
Classical Correspondence

Quantum Chaos and Quantum Fractals With Atoms and Photons in a Microcavity

2005 ◽  
Author(s):  
M. Yu. Uleysky ◽  
S. V. Prants
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Chaos ◽  
Degrees Of Freedom ◽  
Initial Conditions ◽  
Maximum Lyapunov Exponent ◽  
Atomic Inversion ◽  
Strongly Coupled ◽  
Classical Correspondence ◽  
Quantum Fractals ◽  
Quantized Radiation Field

Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality microcavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical egrees of freedom. We show that, even in the absence of any other interaction with environment, the coupling of quantum and classical degrees of freedom provides the emergence of classical dynamical chaos from quantum electrodynamics. It manifest itself in the atomic external degree of freedom as a random walking of an atom inside a cavity with a prominent fractal-like behavior and in the quantum atom-filed degrees of freedom as a sensitive dependence of atomic inversion on small variations in initial conditions. It is shown that dependences of variance of quantum entanglement and of the maximum Lyapunov exponent on the detuning of the atom-field resonance correlate strongly. This result provides a quantum-classical correspondence in a closed physical system.

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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