The spectral form factor in Bosonic integrable systems with local random interactions

Mollabashi, Ali; Rahimi-Keshari, Saleh

doi:10.47176/ijpr.25.4.82162

The spectral form factor in Bosonic integrable systems with local random interactions

Document Type : Original Article

Authors

Ali Mollabashi

Saleh Rahimi-Keshari

School of Quantum Physics and Matter, Institute for Research in Fundamental Sciences (IPM)

https://doi.org/10.47176/ijpr.25.4.82162

Abstract

The spectral form factor (SFF) is a widely used tool for diagnosing quantum chaos and information scrambling. Recent studies have shown that the SFF can also indicate scrambling behavior in integrable systems when non-local random couplings are present. In this work, we investigate integrable bosonic systems governed by quadratic Hamiltonians with local random interactions. Through numerical analysis, we demonstrate that the SFF exhibits a ramp at intermediate times, a feature absent in integrable systems without randomness. The presence of this ramp provides evidence supporting the notion of quantum information scrambling in locally coupled, yet integrable, systems.

Keywords

Quantum Information Scrambling

Spectral Form Factor

Integrability

Quantum chaos

Subjects

Theoretical

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