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Dynamical theories of speech use computational models of articulatory control to generate quantitative predictions and advance understanding of speech dynamics. The addition of a nonlinear restoring force to task dynamic models is a…

计算与语言 · 计算机科学 2025-02-04 Sam Kirkham

We show that a scaling law exists for the near resonant dynamics of cold kicked atoms in the presence of a randomly fluctuating pulse amplitude. Analysis of a quasi-classical phase-space representation of the quantum system with noise…

量子物理 · 物理学 2008-08-29 Mark Sadgrove , Sandro Wimberger , Scott Parkins , Rainer Leonhardt

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

量子物理 · 物理学 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

生物物理 · 物理学 2025-02-18 Huan Liu , Shashank Priya , Richard D. James

Classical optomechanical systems feature self-sustained oscillations, where multiple periodic orbits at different amplitudes coexist. We study how this multistability is realized in the quantum regime, where new dynamical patterns appear…

量子物理 · 物理学 2016-04-19 C. Schulz , A. Alvermann , L. Bakemeier , H. Fehske

Universal scaling laws form one of the central issues in physics. A non-standard scaling law or a breakdown of a standard scaling law, on the other hand, can often lead to the finding of a new universality class in physical systems.…

统计力学 · 物理学 2015-06-15 Isao Nishikawa , Gouhei Tanaka , Kazuyuki Aihara

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

统计力学 · 物理学 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We consider a dynamic protocol for quantum many-body systems, which enables to study the interplay between unitary Hamiltonian driving and random local projective measurements. While the unitary dynamics tends to increase entanglement,…

统计力学 · 物理学 2020-07-15 Davide Rossini , Ettore Vicari

Conditional dynamics due to continuous optical measurements has successfully been applied for state reconstruction and feedback cooling in optomechanical systems. In this article, we show that the same measurement techniques can be used to…

量子物理 · 物理学 2018-06-11 Martin Koppenhöfer , Christoph Bruder , Niels Lörch

The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system close to its critical point obeys dynamical…

量子物理 · 物理学 2019-11-13 Bo-Bo Wei , Gaoyong Sun , Myung-Joong Hwang

Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

适应与自组织系统 · 物理学 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

The fluctuation scaling law has universally been observed in a wide variety of phenomena. For counting processes describing the number of events occurred during time intervals, it is expressed as a power function relationship between the…

数据分析、统计与概率 · 物理学 2013-07-01 Shinsuke Koyama

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

统计力学 · 物理学 2021-03-23 Sudip Mukherjee , Abhik Basu

We analyze the coherent quantum evolution of a many-particle system after slowly sweeping a power-law confining potential. The amplitude of the confining potential is varied in time along a power-law ramp such that the many-particle system…

统计力学 · 物理学 2015-05-19 Mario Collura , Dragi Karevski

The mechanical force from light -- radiation pressure -- provides an intrinsic nonlinear interaction. Consequently, optomechanical systems near their steady state, such as the canonical optical spring, can display non-analytic behavior as a…

统计力学 · 物理学 2017-11-22 Stephen Ragole , Haitan Xu , John Lawall , Jacob M. Taylor

The quantum dynamics of optomechanical systems was mostly studied for their fluctuations around classical steady states. We present a theoretical approach to determining the system observables of optomechanical systems as genuine quantum…

量子物理 · 物理学 2012-06-21 Bing He

Optomechanical systems provide a unique platform for observing quantum behavior of macroscopic objects. However, efforts towards realizing nonlinear behavior at the single photon level have been inhibited by the small size of the radiation…

量子物理 · 物理学 2015-01-14 Xunnong Xu , Michael Gullans , Jacob M. Taylor

It is shown that in the presence of anisotropic kinetic dissipation existence of scale invariant power law spectrum of plasma turbulence is possible. Obtained scale invariant spectrum is not associated with the constant flux of any physical…

天体物理学 · 物理学 2009-11-13 Grigol Gogoberidze

Optomechanical systems, due to its inherent nonlinear optomechanical coupling, owns rich nonlinear dynamics of different types of motion. The interesting question is that whether there exist some common quantum features to infer the…

量子物理 · 物理学 2020-03-04 Qing Xia Meng , Zhi Jiao Deng , Zhigang Zhu , Liang Huang

Scale invariance is a central organizing principle in physics, underlying phenomena that range from critical behaviour in statistical mechanics to transport and chaos in nonlinear dynamical systems. Here we present a unified and physically…

统计力学 · 物理学 2026-02-23 Edson D. Leonel , Diego F. M. Oliveira
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