Decoherence challenges in Nanoscience: A Quantum Phase Space perspective

• URL: http://arxiv.org/abs/2512.22297v1
• Date: Thu, 25 Dec 2025 21:41:33 GMT
• Title: Decoherence challenges in Nanoscience: A Quantum Phase Space perspective
• Authors: Angelo Mamitiana Ralaikoto, Diary Lova Ratsimbazafy, Ravo Tokiniaina Ranaivoson, Fanamby Sahondraniandriana, Roland Raboanary, Raoelina Andriambololona, Nomenjanahary Tanjonirina Manampisoa, Rivo Herivola Manjakamanana Ravelonjato,
• Abstract summary: This work introduces a novel theoretical framework based on Quantum Phase Space (QPS) to address the dual challenge of characterizing environment-selected pointer states.<n> pointer states for particle motion are identified as the minimum-uncertainty states, those that saturate the quantum uncertainty relation.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum decoherence, the process by which a quantum system loses its coherence through interaction with an environment and becomes classical-like, represents both the fundamental mechanism for the quantum-to-classical transition and a major challenge to realizing scalable nanoscale quantum technologies. This work introduces a novel theoretical framework based on Quantum Phase Space (QPS) to address the dual challenge of characterizing environment-selected pointer states and modeling decoherence dynamics across different regimes. Within this framework, pointer states for particle motion are identified as the minimum-uncertainty states, those that saturate the quantum uncertainty relation, thereby constituting the closest quantum analogue to classical phase-space points. The structure of the QPS, encoded in a variance-covariance matrix, is shown to be directly shaped by environmental properties. A time-independent matrix corresponds to Markovian (memoryless) decoherence, described by constant diffusion and friction coefficients, while a time-dependent matrix captures non-Markovian dynamics, characterized by environmental memory and information backflow. This unified geometric formalism, applied to both Lindblad and Non-Markovian master equations, enables us to derive explicit relations between environmental parameters and phase-space structure, as demonstrated in a specific illustrative example. This approach has the potential to serve as a powerful tool for modeling decoherence in nanoscience and could inform new principles for designing mitigation strategies and harnessing non-Markovian effects for quantum technologies. The QPS framework may thus bridge fundamental theory and practical quantum engineering, offering a promising coherent pathway to understand, control, and exploit decoherence at the nanoscience frontier.

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