Disorder-Protected Suppression of Decoherence: A Falsifiable Test of Many-Body Localization as an Information Degradation Minimum
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866902004403535872 |
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| author | Rusishvili, Mikheil |
| author_facet | Rusishvili, Mikheil |
| contents | <p>We present a mathematically controlled, sharply falsifiable framework that tests whether many-body localization (MBL) can protect quantum information against local Markovian dephasing. Using the standard phenomenology of quasi-local l-bits, a Schrieffer-Wolff transformation yields an effective classical rate equation with transition rates ~γ (J/W)² e^{-d_H/ξ}. This implies a central bound on the von Neumann entropy production: Φ ≤ C γ N (J/W)² (W ≫ J, γ ≪ J). A variational argument provides an upper bound for the Liouvillian gap. The hypothesis is subjected to a five-point falsification matrix; any single violation disproves it. We provide an open-source QuTiP implementation and numerical results for N=6, confirming the predicted scaling exponent ≈ −2 and persistent Néel imbalance. The framework is compatible with a long-lived prethermal regime and offers a concrete realization of the VES (information degradation minima) hypothesis in open many-body quantum systems. The repository contains the manuscript, executable code (QuTiP, ITensor skeleton), and all figures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20106781 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Disorder-Protected Suppression of Decoherence: A Falsifiable Test of Many-Body Localization as an Information Degradation Minimum Rusishvili, Mikheil many-body localization open quantum systems Lindblad equation entropy production Liouvillian gap Schrieffer–Wolff transformation disordered systems dephasing prethermalization information degradation VES Viscous emergent spacetime falsifiability QuTiP tensor networks <p>We present a mathematically controlled, sharply falsifiable framework that tests whether many-body localization (MBL) can protect quantum information against local Markovian dephasing. Using the standard phenomenology of quasi-local l-bits, a Schrieffer-Wolff transformation yields an effective classical rate equation with transition rates ~γ (J/W)² e^{-d_H/ξ}. This implies a central bound on the von Neumann entropy production: Φ ≤ C γ N (J/W)² (W ≫ J, γ ≪ J). A variational argument provides an upper bound for the Liouvillian gap. The hypothesis is subjected to a five-point falsification matrix; any single violation disproves it. We provide an open-source QuTiP implementation and numerical results for N=6, confirming the predicted scaling exponent ≈ −2 and persistent Néel imbalance. The framework is compatible with a long-lived prethermal regime and offers a concrete realization of the VES (information degradation minima) hypothesis in open many-body quantum systems. The repository contains the manuscript, executable code (QuTiP, ITensor skeleton), and all figures.</p> |
| title | Disorder-Protected Suppression of Decoherence: A Falsifiable Test of Many-Body Localization as an Information Degradation Minimum |
| topic | many-body localization open quantum systems Lindblad equation entropy production Liouvillian gap Schrieffer–Wolff transformation disordered systems dephasing prethermalization information degradation VES Viscous emergent spacetime falsifiability QuTiP tensor networks |
| url | https://doi.org/10.5281/zenodo.20106781 |