Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics

Wang, Guanglei; Lai, Ying–Cheng; Grebogi, Celso

doi:10.1038/srep35381

Cited by 19 publications

(16 citation statements)

References 86 publications

(205 reference statements)

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“…Certain optomechanical systems exhibit apparent breakdown of the quantum-classical correspondence 60 , wherein the classical regime dynamics of the system is chaotic while the quantum dynamics is regular. Recently, it was shown that transient chaos could resolve this paradox and explain the quantum-classical correspondence in these systems 61 . Our results advance the understanding of transient chaos by using a low dimensional and controllable real-world system.…”

Section: Discussionmentioning

confidence: 99%

Magnetization reversal driven by low dimensional chaos in a nanoscale ferromagnet

et al. 2019

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Energy-efficient switching of magnetization is a central problem in nonvolatile magnetic storage and magnetic neuromorphic computing. In the past two decades, several efficient methods of magnetic switching were demonstrated including spin torque, magneto-electric, and microwave-assisted switching mechanisms. Here we experimentally show that low-dimensional magnetic chaos induced by alternating spin torque can strongly increase the rate of thermally-activated magnetic switching in a nanoscale ferromagnet. This mechanism exhibits a well-pronounced threshold character in spin torque amplitude and its efficiency increases with decreasing spin torque frequency. We present analytical and numerical calculations that quantitatively explain these experimental findings and reveal the key role played by low-dimensional magnetic chaos near saddle equilibria in enhancement of the switching rate. Our work unveils an important interplay between chaos and stochasticity in the energy assisted switching of magnetic nanosystems and paves the way towards improved energy efficiency of spin torque memory and logic.

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Section: Discussionmentioning

confidence: 99%

Magnetization reversal driven by low dimensional chaos in a nanoscale ferromagnet

et al. 2019

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“…Transient chaos in OM systems has been discussed for the first time in [60]. The authors of this paper argue that transient chaos underlies the breakdown of the quantum-classical correspondence in strongly dissipative OM systems, which display chaotic evolution in the classical regime and regular dynamics in the quantum one.…”

Section: Classical Transient Chaosmentioning

confidence: 91%

Nonlinear dynamics of weakly dissipative optomechanical systems

2020

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Optomechanical systems attract a lot of attention because they provide a novel platform for quantum measurements, transduction, hybrid systems, and fundamental studies of quantum physics. Their classical nonlinear dynamics is surprisingly rich and so far remains underexplored. Works devoted to this subject have typically focussed on dissipation constants which are substantially larger than those encountered in current experiments, such that the nonlinear dynamics of weakly dissipative optomechanical systems is almost uncharted waters. In this work, we fill this gap and investigate the regular and chaotic dynamics in this important regime. To analyze the dynamical attractors, we have extended the 'generalized alignment index' method to dissipative systems. We show that, even when chaotic motion is absent, the dynamics in the weakly dissipative regime is extremely sensitive to initial conditions. We argue that reducing dissipation allows chaotic dynamics to appear at a substantially smaller driving strength and enables various routes to chaos. We identify three generic features in weakly dissipative classical optomechanical nonlinear dynamics: the Neimark-Sacker bifurcation between limit cycles and limit tori (leading to a comb of sidebands in the spectrum), the quasiperiodic route to chaos, and the existence of transient chaos.

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“…A transient chaotic state is a special kind of chaotic state which refers to the phenomenon that under some certain parameters the system gradually evolves into the periodic state from a chaotic state after a long observation period [50][51][52]. The phenomenon of transient chaos discussed in this section does not occur in the original hidden system [20].…”

Section: Analysis Of Transient Chaosmentioning

confidence: 99%

A High Spectral Entropy (SE) Memristive Hidden Chaotic System with Multi-Type Quasi-Periodic and its Circuit

Liu

Liang

et al. 2019

Entropy

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As a new type of nonlinear electronic component, a memristor can be used in a chaotic system to increase the complexity of the system. In this paper, a flux-controlled memristor is applied to an existing chaotic system, and a novel five-dimensional chaotic system with high complexity and hidden attractors is proposed. Analyzing the nonlinear characteristics of the system, we can find that the system has new chaotic attractors and many novel quasi-periodic limit cycles; the unique attractor structure of the Poincaré map also reflects the complexity and novelty of the hidden attractor for the system; the system has a very high complexity when measured through spectral entropy. In addition, under different initial conditions, the system exhibits the coexistence of chaotic attractors with different topologies, quasi-periodic limit cycles, and chaotic attractors. At the same time, an interesting transient chaos phenomenon, one kind of novel quasi-periodic, and weak chaotic hidden attractors are found. Finally, we realize the memristor model circuit and the proposed chaotic system use off-the-shelf electronic components. The experimental results of the circuit are consistent with the numerical simulation, which shows that the system is physically achievable and provides a new option for the application of memristive chaotic systems.

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Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics

Cited by 19 publications

References 86 publications

Magnetization reversal driven by low dimensional chaos in a nanoscale ferromagnet

Magnetization reversal driven by low dimensional chaos in a nanoscale ferromagnet

Nonlinear dynamics of weakly dissipative optomechanical systems

A High Spectral Entropy (SE) Memristive Hidden Chaotic System with Multi-Type Quasi-Periodic and its Circuit

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