Out-of-Time-Order Correlators as Indicators of Entropy in the Quantum Kicked Rotor

We show that Out-of-Time-Ordered Correlator (OTOC) growth in the Quantum Kicked Rotor (QKR) quantifies information scrambling rather than entropy production. Numerical simulations reproduce the quadratic OTOC scaling at resonance (ℏeff=4π) and its suppression under detuning. Bitstreams derived from the evolving wavefunction reveal a nonmonotonic relationship between chaos and entropy: the resonant (maximally chaotic) regime exhibits lower measured entropy due to coherent phase correlations, whereas slight detuning enhances statistical uniformity. While Out-of-Time-Ordered Correlators quantify information scrambling rather than entropy production, we show that the strength of scrambling strongly constrains the amount of classical entropy that can be extracted after measurement.

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Publication Details

Journal
Computers
Published
2026-01-05
DOI
https://doi.org/10.3390/computers15010023
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Out-of-Time-Order Correlators as Indicators of Entropy in the Quantum Kicked Rotor

De Rosal Ignatius Moses Setiadi, Supriadi Rustad, Ahmad Zainul Fanani, Sri Winarno et al.
Computers
Quantum many-body systems
article

Out-of-Time-Order Correlators as Indicators of Entropy in the Quantum Kicked Rotor

De Rosal Ignatius Moses Setiadi, Supriadi Rustad, Ahmad Zainul Fanani, Sri Winarno, Taukhid W. Broto
article en

Abstract

We show that Out-of-Time-Ordered Correlator (OTOC) growth in the Quantum Kicked Rotor (QKR) quantifies information scrambling rather than entropy production. Numerical simulations reproduce the quadratic OTOC scaling at resonance (ℏeff=4π) and its suppression under detuning. Bitstreams derived from the evolving wavefunction reveal a nonmonotonic relationship between chaos and entropy: the resonant (maximally chaotic) regime exhibits lower measured entropy due to coherent phase correlations, whereas slight detuning enhances statistical uniformity. While Out-of-Time-Ordered Correlators quantify information scrambling rather than entropy production, we show that the strength of scrambling strongly constrains the amount of classical entropy that can be extracted after measurement.

ComputersVol. 15(1)
Pusat Penelitian dan Pengembangan Peternakan (ID), Universitas Dian Nuswantoro (ID)
Direcció General de Recerca, Generalitat de Catalunya
Openalex Percentile: Top 95%
Quantum many-body systems
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Out-of-Time-Order Correlators as Indicators of Entropy in the Quantum Kicked Rotor — De Rosal Ignatius Moses Setiadi, Supriadi Rustad, et al. · Computers (2026) | TGRS Research Map | TGRS