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We present a non-perturbative, mean-field theory for the Fermi-Pasta-Ulam-Tsingou model with quartic interaction, capturing the quasiperiodic features shown by the system at all energies in the thermodynamic limit. Starting from the true…

Statistical Mechanics · Physics 2025-12-02 Antonio Ponno , Giacomo Gradenigo , Marco Baldovin , Angelo Vulpiani

In a cluster-randomized experiment, treatment is assigned to clusters of individual units of interest--households, classrooms, villages, etc.--instead of the units themselves. The number of clusters sampled and the number of units sampled…

Methodology · Statistics 2020-02-20 Yeng Xiong , Michael J. Higgins

In the present paper the resonances of vibrational modes in one-dimensional random Morse lattice are found and analyzed. The resonance energy exchange is observed at some values of elongation. Resonance $2 \omega_1 = \omega_2$ is…

Chaotic Dynamics · Physics 2008-02-08 T. Yu. Astakhova , N. S. Erikhman , V. N. Likhachev , G. A. Vinogradov

We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1]. The relevant ensembles of Hamiltonians are those…

Quantum Physics · Physics 2021-03-31 Salvatore F. E. Oliviero , Lorenzo Leone , Francesco Caravelli , Alioscia Hamma

We calculate the sample-to-sample fluctuations in the excitation gap of a chaotic dynamical system coupled by a narrow lead to a superconductor. Quantum fluctuations on the order of magnitude of the level spacing, predicted by random-matrix…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Goorden , Ph. Jacquod , C. W. J. Beenakker

A pulsar's pulse profile gets broadened at low frequencies due to dispersion along the line of sight or due to multi-path propagation. The dynamic nature of the interstellar medium makes both of these effects time-dependent and introduces…

We study the internal resonance, energy transfer, activation mechanism, and control of a model of DNA division via parametric resonance. While the system is robust to noise, this study shows that it is sensitive to specific fine scale modes…

Dynamical Systems · Mathematics 2012-11-20 Wang Sang Koon , Houman Owhadi , Molei Tao , Tomohiro Yanao

Around 50 years ago, Doniach [Proc. Phys. Soc. 91, 86 (1967)] predicted the existence of paramagnons in nearly ferromagnetic materials, recently measured in bulk Pd [Phys. Rev. Lett. 105, 027207 (2010)]. Here we predict the analogous effect…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 J. Ibañez-Azpiroz , M. dos Santos Dias , B. Schweflinghaus , S. Blügel , S. Lounis

For generic Hamiltonian systems we derive predictions for dynamical tunneling from regular to chaotic phase-space regions. In contrast to previous approaches, we account for the resonance-assisted enhancement of regular-to-chaotic tunneling…

Chaotic Dynamics · Physics 2017-01-04 Normann Mertig , Julius Kullig , Clemens Löbner , Arnd Bäcker , Roland Ketzmerick

We study theoretically spin excitations in the newly discovered nickelate superconductors based on a single-band model and the random phase approximation. The spin excitations are found to be incommensurate in a low energy region. A spin…

Superconductivity · Physics 2020-06-24 Tao Zhou , Yi Gao , Z. D. Wang

We analytically study the input-output properties of a neuron whose active dendritic tree, modeled as a Cayley tree of excitable elements, is subjected to Poisson stimulus. Both single-site and two-site mean-field approximations incorrectly…

Neurons and Cognition · Quantitative Biology 2012-01-18 Leonardo L. Gollo , Osame Kinouchi , Mauro Copelli

A new theory, named the Circuit-Probability theory, is proposed to unveil the secret of electrical nerve stimulation, essentially explain the nonlinear and resonant phenomena observed when neural and non-neural tissues are electrically…

Neurons and Cognition · Quantitative Biology 2018-06-15 Hao Wang , Jiahui Wang , Xin Yuan Thow , Sanghoon Lee , Wendy Yen Xian Peh , Kian Ann Ng , Tianyiyi He , Nitish V. Thakor , Chengkuo Lee

Using a spin-only model, we compute spin excitation spectra in a bond-centered stripe state with long-range magnetic order. We employ a bond operator formalism, which naturally captures both dimerization and broken spin symmetry in a…

Superconductivity · Physics 2007-05-23 Matthias Vojta , Tobias Ulbricht

We present a two-current-pulse temporal correlation experiment to study the intrinsic subnanosecond nonequilibrium magnetic dynamics of a nanomagnet during and following a pulse excitation. This method is applied to a model spin-transfer…

Mesoscale and Nanoscale Physics · Physics 2012-06-25 H. Liu , D. Bedau , J. Z. Sun , S. Mangin , E. E. Fullerton , J. A. Katine , A. D. Kent

We study the effects of noise-intensity fluctuations on the stationary and dynamical properties of an overdamped Langevin model with a bistable potential and external periodical driving force. We calculated the stationary distributions,…

Statistical Mechanics · Physics 2011-08-24 Yoshihiko Hasegawa , Masanori Arita

Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We present a system-independent analysis of dynamical…

Quantum Physics · Physics 2009-11-13 Kaveh Khodjasteh , Daniel A. Lidar

In this Letter we present discrete wave turbulence (DWT) as a counterpart of classical statistical wave turbulence (SWT). DWT is characterized by resonance clustering, not by the size of clusters, i.e. it includes, but is not reduced to,…

Fluid Dynamics · Physics 2009-09-07 Elena Kartashova

We describe an experimentally feasible protocol for performing a variant of the quantum delayed-choice experiment with massive objects. In this scheme, a single nitrogen-vacancy (NV) center in diamond driven by microwave fields is…

Quantum Physics · Physics 2016-11-02 Peng-Bo Li , Fu-Li Li

We present a fast quantum entangling operation on superconducting qubits assisted by a resonator in the quasi-dispersive regime with a new effect --- the selective resonance coming from the amplified qubit-state-dependent resonator…

Quantum Physics · Physics 2014-03-04 Ming Hua , Fu-Guo Deng

We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system's energy resonantly…

Pattern Formation and Solitons · Physics 2009-11-13 George Miloshevich , Ramaz Khomeriki , Stefano Ruffo