Out-of-time ordered correlators in kicked coupled tops: information scrambling in mixed phase space and the role of conserved quantities

DOI10.1063/5.0191140MaRDI QIDQ6592549

Vaibhav Madhok, Naga Dileep Varikuti

Publication date: 26 August 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Black holes and the butterfly effect
• Multiple shocks
• Regular and chaotic motion of coupled rotators
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Quantum signatures of chaos. With a foreword by H. Haken
• Chaos in quantum channels
• A bound on chaos
• Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves
• Chaos and complexity by design
• Chaos, complexity, and random matrices
• Localized shocks
• Exponential speedup in measuring out-of-time-ordered correlators and gate fidelity with a single bit of quantum information
• Spectral form factor as an OTOC averaged over the Heisenberg group
• Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
• Hyperbolic Chaos
• Semiclassical level spacings when regular and chaotic orbits coexist
• Semiclassical energy level statistics in the transition region between integrability and chaos: transition from Brody-like to Berry-Robnik behaviour
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics

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