Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators
arXiv:2109.07412 · doi:10.1140/epjb/s10051-022-00390-1
Abstract
We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs) of quasiperiodically forced nonlinear maps. We use instantaneous speed (IS) and finite-time Lyapunov exponents (FTLEs) to investigate the role of strange non-chaotic attractors (SNAs) on the spatial spread of the OTOC. We find that these CMLs exhibit a characteristic on and off type of spread of the OTOC for SNA. Further, we provide a broad spectrum of the various dynamical regimes in a two-parameter phase diagram using IS and FTLEs. We substantiate our results by confirming the presence of SNA using established tools and measures, namely the distribution of finite-time Lyapunov exponents, phase sensitivity, spectrum of partial Fourier sums, and test.
arXiv comment12 pages, 16 figures, 2 tables
References in corpus (34)
- Chaos in quantum channels
- On the Implementation of the 0-1 Test for Chaos
- Measuring the scrambling of quantum information
- Does scrambling equal chaos?
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Information propagation in isolated quantum systems
- Strange Nonchaotic Attractors
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
- Intermittency Route to Strange Nonchaotic Attractors
- Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Strange nonchaotic stars
- Strange Nonchaotic Attractors in the Quasiperiodically forced Logistic Map
- Light-cone spreading of perturbations and the butterfly effect in a classical spin chain
- Applicability of 0-1 Test for Strange Nonchaotic Attractors
- Early-Time Exponential Instabilities in Non-Chaotic Quantum Systems
- Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map : Mechanisms and their characterizations
- Detecting dynamical quantum phase transition via out-of-time-order correlations in a solid-state quantum simulator
- Out-of-time-order correlators and quantum phase transitions in the Rabi and Dicke model
- OTOC, complexity and entropy in bi-partite systems
- Spatio-temporal spread of perturbations in a driven dissipative Duffing chain: an OTOC approach
- Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
- Super-exponential scrambling of Out-of-time-ordered correlators
- Quantum Mechanical Out-Of-Time-Ordered-Correlators for the Anharmonic (Quartic) Oscillator
- Similar early growth of out-of-time-ordered correlators in quantum chaotic and integrable Ising chains
- Exact relaxation dynamics and quantum information scrambling in multiply quenched harmonic chains
- Spatio-temporal spread of perturbations in power-law models at low temperatures: Exact results for OTOC
- Measuring out-of-time-ordered correlation functions with a single impurity qubit in a bosonic Josephson junction
- Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information
- Relevant OTOC operators: footprints of the classical dynamics
- Dynamical regimes of finite temperature discrete nonlinear Schrödinger chain