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Structural Mediation of Planckian Dissipation in Strongly Correlated Electron Systems: A Universal Architectonic Approach

Rowan Brad Quni-Gudzinas

Published Feb 3, 2026• 0 citations
Publisher

Abstract

The pursuit of macroscopic quantum coherence in strongly correlated electron systems is fundamentally limited by Planckian dissipation, a universal scattering rate that renders active-dynamic control thermodynamically untenable. This paper introduces “Quantum Architectonics,” a design paradigm that leverages passive structural intelligence to overcome this limit. We propose the “Signal-Worker” ontology to unify the physics of 2D Moiré materials and 3D bulk complex oxides (e.g., Cuprates). Central to our framework is the Lossless Complexity Index (LCI), a metric for architectural quality. We provide a first-principles derivation showing the LCI optimum is a universal constant, $LCI_{opt} = \ln(2\pi) \approx 1.83$, derived from the fundamental bound on quantum chaos. Our computational models, which approximate Non-Markovian dynamics, demonstrate that optimized “Phononic Scaffolds” can achieve significant coherence gains over memoryless systems. We further show that d-wave pairing symmetry in Cuprates imposes a geometric penalty on shielding efficiency compared to isotropic s-wave systems. This work establishes a rigorous, unified roadmap for engineering “owned coherence,” projecting a theoretical pathway toward stable quantum operation at 77K.

DOI
10.5281/zenodo.18465372

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The pursuit of macroscopic quantum coherence in strongly correlated electron systems is fundamentally limited by Planckian dissipation, a universal scattering rate that renders active-dynamic control thermodynamically untenable. This paper introduces “Quantum Architectonics,” a design paradigm that leverages passive structural intelligence to overcome this limit. We propose the “Signal-Worker” ontology to unify the physics of 2D Moiré materials and 3D bulk complex oxides (e.g., Cuprates). Central to our framework is the Lossless Complexity Index (LCI), a metric for architectural quality. We provide a first-principles derivation showing the LCI optimum is a universal constant, LCIopt=ln⁡(2π)≈1.83LCI_{opt} = \ln(2\pi) \approx 1.83LCIopt​=ln(2π)≈1.83, derived from the fundamental bound on quantum chaos. Our computational models, which approximate Non-Markovian dynamics, demonstrate that optimized “Phononic Scaffolds” can achieve significant coherence gains over memoryless systems. We further show that d-wave pairing symmetry in Cuprates imposes a geometric penalty on shielding efficiency compared to isotropic s-wave systems. This work establishes a rigorous, unified roadmap for engineering “owned coherence,” projecting a theoretical pathway toward stable quantum operation at 77K.
The current paradigm of quantum computing is increasingly constrained by a reliance on emergent quasiparticle ontologies and “epistemic patches” that obscure the underlying ab initio dynamics of quantum materials. This paper proposes a radical realignment through the “Signal-Worker” (S-W) framework, which distinguishes between fundamental fermionic workers (electrons) and bosonic signals (photons/forces). We critique the artificial truncation of fluxonium qutrit arrays and contrast them with the passive structural coherence of twistronic and Kagome lattices. Our methodology introduces the Lossless Complexity Index (LCI) as a definitive metric for “architectural intelligence,” with a generalized derivation based on the spectral entropy of the lattice. We identify a “Goldilocks zone” at LCI=1.83 where structural coherence maximizes quantum stability. Findings indicate that passive structural systems provide a 10310^3103 efficiency advantage over active flux-driven architectures, offering a robust roadmap toward high-temperature (77K) operation and a theoretical pathway to ambient-temperature computing. By demonstrating predictive divergence from standard BCS theory, we establish the S-W framework as a necessary foundation for the architectonic era of physics-instantiated computing.
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We derive a universal bound on the efficiency with which "dissipated" work can generate distinguishable changes in a quantum many-body state at a finite temperature, as quantified by the quantum Fisher information. The bound follows solely from the analytic structure of equilibrium many-body correlators and is independent of all microscopic details. It takes a frequency-resolved form with a characteristic crossover at the Planckian scale, ω⋆∼kBT/ℏω_\star\sim k_B T/\hbarω⋆​∼kB​T/ℏ. We find that Planckian scatterers sit at the edge of optimality, displaying maximal relaxation rate before information-dissipation efficiency collapses. This suggests strange metals are not just fast dissipators, but the fastest that remain efficient in generating distinguishability. The bounded quantity can be evaluated directly from optical conductivity measurements in strongly correlated electronic systems, offering a unique window into how dissipation generates distinguishable changes.
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We develop a comprehensive theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices, bridging the gap between ideal flat-band coherence and realistic narrow-band dissipation. By coupling an emitter to sublattices with finite flat-band wavefunction overlap, we activate a collective, size-independent interaction fundamentally distinct from dispersive-band processes. Controllably breaking lattice symmetry transforms the flat band into a narrow dispersive band, enabling a continuous crossover from non-Markovian to Markovian dynamics governed by the competition between coupling strength and engineered bandwidth. Crucially, we derive explicit scaling laws that provide a quantitative blueprint for tuning spontaneous emission from coherent trapping to Markovian decay. Our work provides a unified framework that connects idealized flat-band physics to emerging narrow-band platforms such as moireˊ\rm\acute{e}eˊ photonic crystals, offering a practical toolkit for interpreting experiments and engineering quantum emission in structured photonic environments.