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This research investigates how non-Markovian environmental dissipation alters relaxation dynamics in the Sachdev-Ye-Kitaev model, revealing distinct regimes where power-law decay competes with or replaces standard exponential behavior. By mapping these transitions using Keldysh formalism, the study provides critical insights into controlling thermalization processes within strongly correlated quantum many-body systems. Such findings are foundational for advancing our understanding of open quantum systems and potential future applications in fault-tolerant quantum computing architectures.
Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems
arXiv:2603.10815v2 Announce Type: replace-cross Abstract: In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay, non-Markovian dissipation can give rise to more intricate behavior, including algebraic relaxation. We study an open Sachdev-Ye-Kitaev (SYK) model coupled to a pseudogapped fermionic bath, using the Keldysh formalism to compute steady-state correlations in the large-$N$ limit. Our results uncover a rich dynamical phase diagram, with regimes of bath-driven power-law relaxation, chaos-driven exponential decay, and an intermediate pre-relaxation phase where exponential decay crosses over to algebraic decay. These findings demonstrate that non-Markovian environments can qualitatively reshape relaxation mechanisms in strongly correlated quantum many-body systems.
Abstract:In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay, non-Markovian dissipation can give rise to more intricate behavior, including algebraic relaxation. We study an open Sachdev-Ye-Kitaev (SYK) model coupled to a pseudogapped fermionic bath, using the Keldysh formalism to compute steady-state correlations in the large-$N$ limit. Our results uncover a rich dynamical phase diagram, with regimes of bath-driven power-law relaxation, chaos-driven exponential decay, and an intermediate pre-relaxation phase where exponential decay crosses over to algebraic decay. These findings demonstrate that non-Markovian environments can qualitatively reshape relaxation mechanisms in strongly correlated quantum many-body systems.
Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
arXiv:2603.10815 [cond-mat.stat-mech]
(or arXiv:2603.10815v2 [cond-mat.stat-mech] for this version)
Phys. Rev. B 114, L051107 (2026)
https://doi.org/10.1103/4gjd-7svp DOI(s) linking to related resources
Full text under the publisher's open licence · 146 words
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