Results 21 to 30 of about 8,059 (236)
Quantum Chirikov criterion: Two particles in a box as a toy model for a quantum gas
SciPost Physics, 2022 We consider a toy model for emergence of chaos in a quantum many-body short-range-interacting system: two one-dimensional hard-core particles in a box, with a small mass defect as a perturbation over an integrable system, the latter represented by two ...
Dmitry Yampolsky, N. L. Harshman, Vanja Dunjko, Zaijong Hwang, Maxim Olshanii
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Complexity from the reduced density matrix: a new diagnostic for chaos
Journal of High Energy Physics, 2021 We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity.
Arpan Bhattacharyya +2 more
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Quantum instantons and quantum chaos [PDF]
Physics Letters A, 2001 Extended version with new figures. Text (LaTeX), 5 Figures (epsi files)
Jirari, H. +4 more
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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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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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Quantum biology on the edge of quantum chaos. [PDF]
PLoS One, 2014 We give a new explanation for why some biological systems can stay quantum coherent for long times at room temperatures, one of the fundamental puzzles of quantum biology. We show that systems with the right level of complexity between chaos and regularity can increase their coherence time by orders of magnitude.
Vattay G, Kauffman S, Niiranen S.
europepmc +8 more sources
A quantum correction to chaos [PDF]
Journal of High Energy Physics, 2016 We use results on Virasoro conformal blocks to study chaotic dynamics in CFT$_2$ at large central charge c. The Lyapunov exponent $λ_L$, which is a diagnostic for the early onset of chaos, receives $1/c$ corrections that may be interpreted as $λ_L = \frac{2 π}β \left( 1 + \frac{12}{c} \right)$.
Fitzpatrick, A., Kaplan, Jared
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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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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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