Non-Markovian amplitude damping in a central spin model with random couplings

• URL: http://arxiv.org/abs/2509.12670v1
• Date: Tue, 16 Sep 2025 04:50:41 GMT
• Title: Non-Markovian amplitude damping in a central spin model with random couplings
• Authors: Mehboob Rashid, Rayees A Mala, Saima Bashir, Muzaffar Qadir Lone,
• Abstract summary: We investigate the role of system-bath-bath couplings in shaping non-Markovian behavior of open quantum systems.<n>We show that the character of the reduced dynamics depends jointly on the intrinsic memory of the environment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Non-Markovian dynamics is central to quantum information processing, as memory effects strongly influence coherence preservation, metrology, and communication. In this work, we investigate the role of stochastic system--bath couplings in shaping non-Markovian behavior of open quantum systems, using the central spin model within a time-convolutionless master equation framework. We show that the character of the reduced dynamics depends jointly on the intrinsic memory of the environment and on the structure of the system--environment interaction. In certain regimes, the dynamics simplify to pure dephasing, while in general both amplitude damping and dephasing contribute to the evolution. By employing two complementary measures: the Quantum Fisher Information (QFI) flow and the Breuer--Laine--Piilo (BLP) measure, we demonstrate that QFI flow may fail to witness memory effects in weak-coupling and near-resonant regimes, whereas the BLP measure still detects information backflow. Furthermore, external modulation of the interaction kernel produces qualitatively richer behavior, including irregular and frequency-dependent revivals of non-Markovianity. These results clarify the physical origin of memory effects, highlight the limitations of single-witness approaches, and suggest that stochasticity and modulation can be harnessed to engineer robust, noise-resilient quantum technologies.

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