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The classical limit of non-integrable quantum systems, a route to quantum chaos
(Elsevier, 2006-04)
The classical limit of non-integrable quantum systems is studied. We define non-integrable quantum systems as those, which have, as their classical limit, a non-integrable classical system. This quantum systems will be the ...
About the concept of quantum chaos
(Molecular Diversity Preservation International, 2017-05)
The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was ...
Sensitivity to perturbations and quantum phase transition
(Amer Physical Soc, 2013-05-17)
The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities ...
Effects of chaotic dynamics on quantum friction
(American Physical Society, 2019-04-22)
By means of studying the evolution equation for the Wigner distributions of quantum dissipative systems we derive the quantum corrections to the classical Liouville dynamics, taking into account the standard quantum friction ...
Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
(Elsevier Science, 2009-02)
In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. ...
Quantum and classical complexity in coupled maps
(American Physical Society, 2017-12)
We study a generic and paradigmatic two-degrees-of-freedom system consisting of two coupled perturbed cat maps with different types of dynamics. The Wigner separability entropy (WSE)—equivalent to the operator space ...
Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
(American Physical Society, 2018-11)
Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most ...
Time-reversal focusing and space-time control of interferences :
(2010-03)
La focalización de ondas acústicas que se propagan por un medio inhomogéneo fue lograda con éxito a través del procedimiento conocido como espejo de reversión temporal (TRM). En este experimento, las ondas salientes son ...
Gauging classical and quantum integrability through out-of-time-ordered correlators
(American Physical Society, 2019-10)
Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular setups. However, it has been seen that this ...