Results 21 to 30 of about 814 (56)

Fidelity Decay as an Efficient Indicator of Quantum Chaos

, 2002
Recent work has connected the type of fidelity decay in perturbed quantum models to the presence of chaos in the associated classical models. We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured efficiently ...
C. Zalka, D. G. Cory, F. Haake, F. Haake, F. Haake, Joseph Emerson, K. Zyczkowski, M. Kus, M. V. Berry, S. Lloyd, Seth Lloyd, Y. S. Weinstein, Yaakov S. Weinstein   +12 more
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Persistence at the onset of spatiotemporal intermittency in coupled map lattices [PDF]

, 2002
We study persistence in coupled circle map lattices at the onset of spatiotemporal intermittency, an onset which marks a continuous transition, in the universality class of directed percolation, to a unique absorbing state.
, , Bray A. J., Daviaud F., Derrida B., G. I Menon, Janaki T. M., Kaneko K. (ed), Majumdar S. N., Mohanty P. K., Oerding K., P Ray, Rupp P., S Sinha   +13 more
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Chimera-like states in an ensemble of globally coupled oscillators

, 2014
We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices.
Pikovsky, Arkady, Rosenblum, Michael, Yeldesbay, Azamat   +2 more
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Matrix Quantization of Turbulence

, 2011
Based on our recent work on Quantum Nambu Mechanics $\cite{af2}$, we provide an explicit quantization of the Lorenz chaotic attractor through the introduction of Non-commutative phase space coordinates as Hermitian $ N \times N $ matrices in $ R^{3 ...
Axenides M., Axenides M., Axenides M., EMMANUEL FLORATOS, Gibson C. H., Landau L., Nambu Y., Nevir P., Sparrow C., Tarasov V. E., Viana M.   +10 more
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Ulam method for the Chirikov standard map

, 2010
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that the Ulam approximant of the Perron-Frobenius operator on a chaotic ...
B. Chirikov, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, C. Schütte, C.F.F. Karney, D. L. Shepelyansky, D. Terhesiu, D.L. Shepelyansky, G. Cristadoro, G. Froyland, G. Froyland, G. Froyland, J. Ding, J. Meiss, J. Meiss, J.M. Greene, J.M. Greene, K. M. Frahm, L. Ermann, L. Ermann, M. Blank, R. Artuso, R.S. MacKay, R.S. MacKay, R.S. MacKay, S. Aubry, T.-Y. Li, Z. Kaufmann, Z. Kovács   +30 more
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Spectral properties of quantized barrier billiards

, 2002
The properties of energy levels in a family of classically pseudointegrable systems, the barrier billiards, are investigated. An extensive numerical study of nearest-neighbor spacing distributions, next-to-nearest spacing distributions, number variances,
A. Hobson, A. Poon, A. Shudo, A. Shudo, A. Zemlyakov, B. Grémaud, B. Shklovskii, E. Bogomolny, E. Bogomolny, E. Bogomolny, E. Bogomolny, E. Gutkin, E. Gutkin, F. Simmel, G. Vattay, G. Zaslavsky, H. Hernández-Saldaña, I. Braun, J. Marklof, J. Wiersig, J. Wiersig, J. Wiersig, J.H. Hannay, Jan Wiersig, M. Bayer, M. Robnik, M.V. Berry, M.V. Berry, N. Pavloff, O. Bohigas, P. Exner, P.J. Richens, R. Zwanzig, S. Rahav, T. Gorin, U. Vietze, W. Veech, X. Waintal   +37 more
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Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics

, 2017
We re-examine the problem of the "Loschmidt echo", which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared $M(t)$ of two wave packets evolving under slightly different Hamiltonians is shown to have the double ...
A. Peres, C. W. J. Beenakker, D.A. Wisniacki, F.M. Cucchietti, F.M. Cucchietti, G. Benenti, H. Schomerus, J. Tworzydło, M.V. Berry, N. Cerruti, P. G. Silvestrov, P.G. Silvestrov, Ph. Jacquod, R. Ketzmerick, R. Schack, R. Schack, R. Schack, R.A. Jalabert, T. Prosen, T. Prosen   +19 more
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Fidelity and Purity Decay in Weakly Coupled Composite Systems

, 2002
We study the stability of unitary quantum dynamics of composite systems (for example: central system + environment) with respect to weak interaction between the two parts.
Benenti G, Braun D, Cucchietti F M, Emerson J, Gorin T, Gorin T, Haake F, Haake F, Kolovsky A R, Marko Znidaric, Meystre P, Miller P A, Nielsen M A, Prosen T, Prosen T, Prosen T, Prosen T, Strunz W T, Strunz W Z, Tomazc Prosen, Wang W, Wisniacki D A, Zurek W H   +22 more
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Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar Flares dynamics

, 2012
In the second part of this study and similarly with part one, the nonlinear analysis of the solar flares index is embedded in the non-extensive statistical theory of Tsallis [1].
Abramenko, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Binney, Chang, Chang, Chang, Chen, de Moura, Elsner, Ferri, Frisch, Frisch, G.P. Pavlos, Grassberger, Kolmogorov, Krommes, L.P. Karakatsanis, Lyra, M.N. Xenakis, Marsch, Meneveau, Meneveau, Pavlos, Pavlos, Pavlos, Pavlos, Sano, Shlesinger, Strauss, Takens, Tarasov, Tarasov, Tarasov, Tarasov, Theiler, Theiler, Tsallis, Tsallis, Tsallis, Tsallis, Zaslavsky, Zelenyi, Zhang   +47 more
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Time-oscillating Lyapunov modes and auto-correlation functions for quasi-one-dimensional systems

, 2004
The time-dependent structure of the Lyapunov vectors corresponding to the steps of Lyapunov spectra and their basis set representation are discussed for a quasi-one-dimensional many-hard-disk systems. Time-oscillating behavior is observed in two types of
Gary P. Morriss, H. A. Posch, J. P. Hansen, J. R. Dorfman, P. Gaspard, R. Kubo, Tooru Taniguchi   +6 more
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