Results 51 to 60 of about 1,616,136 (229)
Quantum Lyapunov exponents and complex spacing ratios: Two measures of dissipative quantum chaos. [PDF]
Chaos, 2021 The agenda of dissipative quantum chaos is to create a toolbox that would allow us to categorize open quantum systems into "chaotic" and "regular" ones. Two approaches to this categorization have been proposed recently.
I. Yusipov, M. Ivanchenko
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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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Many-body quantum chaos in stroboscopically-driven cold atoms [PDF]
Communications Physics, 2022 In quantum chaotic systems, the spectral form factor (SFF), defined as the Fourier transform of two-level spectral correlation function, is known to follow random matrix theory (RMT), namely a ‘ramp’ followed by a ‘plateau’ in late times.
Ceren B. Dağ +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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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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Proposal for many-body quantum chaos detection [PDF]
Physical Review ResearchIn this work, the term “quantum chaos” refers to spectral correlations similar to those found in the random matrix theory. Quantum chaos can be diagnosed through the analysis of level statistics using, e.g., the spectral form factor, which detects both ...
Adway Kumar Das +10 more
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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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Defining classical and quantum chaos through adiabatic transformations [PDF]
Journal of Physics A: Mathematical and TheoreticalWe present a unified formalism which identifies chaos in both quantum and classical systems in an equivalent manner by means of adiabatic transformations.
Hyeongjin Kim +4 more
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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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Chaos in coupled Kerr-nonlinear parametric oscillators
Physical Review Research, 2021 A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and can be used as a qubit for gate-based quantum computing and quantum ...
Hayato Goto, Taro Kanao
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