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Dissipation- versus chaos-induced relaxation in non-Markovian quantum many-body systems

2026/03/11 by Gabriel Almeida, Pedro Ribeiro, Masudul Haque +1
Physics and Astronomy · Computer Science · #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Quantum Information and Cryptography

paper · pdf · doi:10.1103/4gjd-7svp

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.

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