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Localization of information driven by stochastic resetting

Camille Aron1,2,* and Manas Kulkarni3,†

  • *Contact author: aron@ens.fr
  • †Contact author: manas.kulkarni@icts.res.in
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Phys. Rev. E 113, L022101 – Published 23 February, 2026

DOI: https://doi.org/10.1103/pkgb-mp8s

Abstract

The dynamics of extended many-body systems are generically chaotic. Classically, a hallmark of chaos is the exponential sensitivity to initial conditions captured by positive Lyapunov exponents. Supplementing chaotic dynamics with stochastic resetting drives a sharp dynamical phase transition: we show that the Lyapunov spectrum, i.e., the complete set of Lyapunov exponents, abruptly collapses to zero above a critical resetting rate. At criticality, we find a sudden loss of analyticity of the velocity-dependent Lyapunov exponent, which we relate to the transition from ballistic scrambling of information to an arrested regime where information becomes exponentially localized over a characteristic length diverging at criticality with an exponent ν=1/2 and a dynamical exponent z=2. We illustrate our analytical results on generic chaotic dynamics by numerical simulations of coupled map lattices.

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Outline

Information

Phys. Rev. E 113, L022101– Published 23 February, 2026
  • Received 8 October 2025
  • Accepted 26 January 2026
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