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Physics Open, 2019 Previous work in the field of relativistic quantum chaos has revealed initial evidence that the manifestations of classical chaos in relativistic quantum systems tend to be weakened as compared with those in nonrelativistic quantum systems. To place this
Chen-Di Han +3 more
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Emergent Quantum State Designs from Individual Many-Body Wave Functions
PRX Quantum, 2023 Quantum chaos in many-body systems provides a bridge between statistical and quantum physics with strong predictive power. This framework is valuable for analyzing properties of complex quantum systems such as energy spectra and the dynamics of ...
Jordan S. Cotler +7 more
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Statistics and quantum chaos [PDF]
Journal of Physics A: Mathematical and General, 1998 12 pages, LateX, no figures, restructured ...
Benatti, Fabio, Fannes, Mark
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Chaos and Quantum Mechanics [PDF]
Annals of the New York Academy of Sciences, 2005 Abstract:The relationship between chaos and quantum mechanics has been somewhat uneasy—even stormy, in the minds of some people. However, much of the confusion may stem from inappropriate comparisons using formal analyses. In contrast, our starting point here is that a complete dynamical description requires a full understanding of the evolution ...
Habib, Salman +5 more
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Probing the edge between integrability and quantum chaos in interacting few-atom systems [PDF]
Quantum, 2021 Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization.
Thomás Fogarty +3 more
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Nelineinaya Dinamika, 2006 A short historical overview is given on the development of our knowledge of complex dynamical systems with special emphasis on ergodicity and chaos, and on the semiclassical quantization of integrable and chaotic systems. The general trace formula is discussed as a sound mathematical basis for the semiclassical quantization of chaos.
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Low temperature quantum bounds on simple models
SciPost Physics, 2022 In the past few years, there has been considerable activity around a set of quantum bounds on transport coefficients (viscosity) and chaos (Lyapunov exponent), relevant at low temperatures.
Silvia Pappalardi, Jorge Kurchan
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Chaos and quantum thermalization [PDF]
Physical Review E, 1994 We show that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey {\it Berry's conjecture}. Berry's conjecture is expected to hold only if the corresponding classical system is chaotic, and essentially states that the ...
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Quantum chaos and the correspondence principle [PDF]
Physical Review E, 2021 The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC) in classically non-chaotic systems [E.B. Rozenbaum et al., Phys. Rev. Lett.
Jiaozi Wang +3 more
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What Are the New Implications of Chaos for Unpredictability? [PDF]
, 2008 From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability ...
Werndl, Charlotte, Charlotte Werndl
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