Decoherence challenges in Nanoscience: A Quantum Phase Space perspective
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908734110826496 |
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| author | Ralaikoto, Angelo Mamitiana Ratsimbazafy, Diary Lova Ranaivoson, Ravo Tokiniaina Sahondraniandriana, Fanamby Raboanary, Roland Andriambololona, Raoelina Manampisoa, Nomenjanahary Tanjonirina Ravelonjato, Rivo Herivola Manjakamanana |
| author_facet | Ralaikoto, Angelo Mamitiana Ratsimbazafy, Diary Lova Ranaivoson, Ravo Tokiniaina Sahondraniandriana, Fanamby Raboanary, Roland Andriambololona, Raoelina Manampisoa, Nomenjanahary Tanjonirina Ravelonjato, Rivo Herivola Manjakamanana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decoherence challenges in Nanoscience: A Quantum Phase Space perspective Ralaikoto, Angelo Mamitiana Ratsimbazafy, Diary Lova Ranaivoson, Ravo Tokiniaina Sahondraniandriana, Fanamby Raboanary, Roland Andriambololona, Raoelina Manampisoa, Nomenjanahary Tanjonirina Ravelonjato, Rivo Herivola Manjakamanana Quantum Physics 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. |
| title | Decoherence challenges in Nanoscience: A Quantum Phase Space perspective |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.22297 |