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Chaos and magic in the dissipative quantum kicked top
QuantumWe consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular and chaotic ...
G. Passarelli +3 more
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Journal of the Physical Society of Japan, 2004
Summary: In contrast to the classical Hamiltonian mechanics whose chaotic behaviors are now well established, quantum mechanics is still obscure about the origin of its random behavior. It is shown in this paper that in case of the stadium billiard, the fact that the nodal lines are smooth but are randomly oscillating, as first described by Heller, and
Saitô, Nobuhiko, Makino, Hironori
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Summary: In contrast to the classical Hamiltonian mechanics whose chaotic behaviors are now well established, quantum mechanics is still obscure about the origin of its random behavior. It is shown in this paper that in case of the stadium billiard, the fact that the nodal lines are smooth but are randomly oscillating, as first described by Heller, and
Saitô, Nobuhiko, Makino, Hironori
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Physical Review Letters, 1993
We report for the first time quantum calculations for the so-called bouncer model, the classical analog of which is well known to manifest a chaotic behavior. Three versions of our model are fully tractable quantum mechanically and are potentially a rich source of data for establishing properties of a quantum system of which the classical mechanics can
, Dembinski, , Makowski, , Peplowski
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We report for the first time quantum calculations for the so-called bouncer model, the classical analog of which is well known to manifest a chaotic behavior. Three versions of our model are fully tractable quantum mechanically and are potentially a rich source of data for establishing properties of a quantum system of which the classical mechanics can
, Dembinski, , Makowski, , Peplowski
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 1996
A new approach to the description of gas kinetics is proposed. The approach is based on a fundamental presumption which states that binary collisions of gas atoms, moving in a chaotic way, can serve as ‘‘interior measurements.’’ These ‘‘measurements’’ result in collapses of atomic wave functions.
Kadomtsev, B. B., Kadomtsev, M. B.
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A new approach to the description of gas kinetics is proposed. The approach is based on a fundamental presumption which states that binary collisions of gas atoms, moving in a chaotic way, can serve as ‘‘interior measurements.’’ These ‘‘measurements’’ result in collapses of atomic wave functions.
Kadomtsev, B. B., Kadomtsev, M. B.
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Nuclear Physics A, 2005
Are there quantum signatures, for instance in the spectral properties, of the underlying regular or chaotic nature of the corresponding classical motion? Are there universality classes? Within this framework the merging of two at first sight seemingly disconnected fields, namely random matrix theories (RMT) and quantum chaos (QC), is briefly described.
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Are there quantum signatures, for instance in the spectral properties, of the underlying regular or chaotic nature of the corresponding classical motion? Are there universality classes? Within this framework the merging of two at first sight seemingly disconnected fields, namely random matrix theories (RMT) and quantum chaos (QC), is briefly described.
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1999
This book introduces the quantum mechanics of classically chaotic systems, or quantum chaos for short. The author's philosophy has been to keep the discussion simple and to illustrate theory, wherever possible, with experimental or numerical examples. The microwave billiard experiments, initiated by the author and his group, play a major role in this ...
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This book introduces the quantum mechanics of classically chaotic systems, or quantum chaos for short. The author's philosophy has been to keep the discussion simple and to illustrate theory, wherever possible, with experimental or numerical examples. The microwave billiard experiments, initiated by the author and his group, play a major role in this ...
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An image encryption algorithm based on discrete fractional wavelet transform and quantum chaos
Optik (Stuttgart), 2022Chunmeng Li, Xiaozhong Yang
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Quantum guidelines for solid-state spin defects
Nature Reviews Materials, 2021Gary Wolfowicz +2 more
exaly
Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
exaly
Quantum Chaos — Quantum Measurement
1992Quantum Chaos.- The Role of Perturbation Theory in the Development of Physics.- Dynamical Chaos and Many-Body Quantum Systems.- Unbounded Quantum Diffusion and a New Class of Level Statistics.- Quantal Suppression of Chaos and its Realizations.- A Model for Irregular Scattering in the Presence of Localization.- Localization and Delocalization of ...
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