Nonequilibrium chaos of disordered nonlinear waves

Abstract

Do nonlinear waves destroy Anderson localization? Computational and experimental studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics and phase decoherence assumptions are used for explaining the data. We perform a quantitative analysis of the nonequilibrium chaos assumption, and compute the time dependence of main chaos indicators - Lyapunov exponents and deviation vector distributions. We find a slowing down of chaotic dynamics, which does not cross over into regular dynamics up to the largest observed time scales, still being fast enough to allow for a thermalization of the spreading wave packet. Strongly localized chaotic spots meander through the system as time evolves. Our findings confirm for the first time that nonequilibrium chaos and phase decoherence persist, fueling the prediction of a complete delocalization.

5 pages, 5 figures

References in corpus (15)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• The crossover from strong to weak chaos for nonlinear waves in disordered systems
• Delocalization induced by nonlinearity in systems with disorder
• Nonlinear waves in disordered chains: probing the limits of chaos and spreading
• KAM tori in 1D random discrete nonlinear Schrödinger model?
• Energy Spreading in Strongly Nonlinear Disordered Lattices
• Spreading in Disordered Lattices with Different Nonlinearities
• Do nonlinear waves in random media follow nonlinear diffusion equations?
• Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation
• Decohering localized waves
• Make Slow Fast -- how to speed up interacting disordered matter
• Spectral description of the dynamics of ultracold interacting bosons in disordered lattices

Cited by in corpus (40)

• Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
• Nonlinear lattice waves in heterogeneous media
• Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
• Arbitrarily Weak Nonlinearity Can Destroy the Anderson Localization
• Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model
• Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
• Chaotic wave packet spreading in two-dimensional disordered nonlinear lattices
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Probing the effects of interaction in Anderson localization using linear photonic lattices
• Computational efficiency of symplectic integration schemes: Application to multidimensional disordered Klein-Gordon lattices
• Super-exponential diffusion in nonlinear non-Hermitian systems
• Chaos and Anderson Localisation in Disordered Classical Chains: Hertzian vs FPUT models
• Complex Statistics and Diffusion in Nonlinear Disordered Particle Chains
• Nonlinear Lattice Waves in Random Potentials
• Identifying localized and spreading chaos in nonlinear disordered lattices by the Generalized Alignment Index (GALI) method
• Effective protection of quantum coherence by non-Hermitian driving
• Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using $q$-Statistics
• Quantum subdiffusion with two- and three-body interactions
• Polydispersed Granular Chains: From Long-lived Chaotic Anderson-like Localization to Energy Equipartition
• Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields
• Anderson attractors in active arrays
• Quench-induced delocalization
• Nonlinear Topological Edge States: from Dynamic Delocalization to Thermalization
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• Wave propagation in a strongly disordered 1D phononic lattice supporting rotational waves
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices
• A general multi-wave quasi-resonance theory for lattice energy diffusion
• Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers
• Subdiffusion in wave packets with periodically kicked interactions
• Disordered resonant media: Self-induced transparency versus light localization
• Local integrability breaking and exponential localization of leading Lyapunov vectors
• Chaotic behaviour of disordered nonlinear lattices
• Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions
• Wave-packet spreading in disordered soft architected structures
• Equilibrium and Non-equilibrium Gross-Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization
• On the symplectic integration of the Klein Gordon lattice model
• Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems
• Energy spreading, equipartition and chaos in lattices with non-central forces
• Frequency map analysis of spatiotemporal chaos in the nonlinear disordered Klein-Gordon lattice