Semiclassical Limit of a Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains

Ruidas, S and Banerjee, S (2024) Semiclassical Limit of a Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains. In: Physical Review Letters, 132 (3).

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Abstract

We discuss the dynamics of integrable and nonintegrable chains of coupled oscillators under continuous weak position measurements in the semiclassical limit. We show that, in this limit, the dynamics is described by a standard stochastic Langevin equation, and a measurement-induced transition appears as a noise- and dissipation-induced chaotic-to-nonchaotic transition akin to stochastic synchronization. In the nonintegrable chain of anharmonically coupled oscillators, we show that the temporal growth and the ballistic light-cone spread of a classical out-of-time correlator characterized by the Lyapunov exponent and the butterfly velocity are halted above a noise or below an interaction strength. The Lyapunov exponent and the butterfly velocity both act like order parameter, vanishing in the nonchaotic phase. In addition, the butterfly velocity exhibits a critical finite-size scaling. For the integrable model, we consider the classical Toda chain and show that the Lyapunov exponent changes nonmonotonically with the noise strength, vanishing at the zero noise limit and above a critical noise, with a maximum at an intermediate noise strength. The butterfly velocity in the Toda chain shows a singular behavior approaching the integrable limit of zero noise strength. © 2024 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to Author.
Keywords:	Lyapunov methods; Oscillators (mechanical); Stochastic systems, Coupled oscillators; Induced transitions; Langevin equation; Lyapunov exponent; Many body; Noise strength; Oscillator chains; Semiclassical limit; Stochastics; Toda chain, Differential equations
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	01 Mar 2024 07:25
Last Modified:	01 Mar 2024 07:25
URI:	https://eprints.iisc.ac.in/id/eprint/83929

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