Electrostatic Quantum-Lens Interferometry in InGaAs 2DEGs: A Phase-Gate Benchmark and Device Roadmap

EQLI: Electrostatic Quantum-Lens Interferometry in InGaAs 2DEGs — A Phase-Gate Benchmark and Device Roadmap
Version: 2026-08-06 (v5.0)

We present a reproducible numerical study of a flying-electron phase gate based on a double-slit interferometer in an InGaAs two-dimensional electron gas (2DEG). A programmable electrostatic quantum lens, placed behind one slit, imparts a controlled geometric phase that displaces the downstream interference pattern linearly (R² ≈ 0.9997 in the shallow-lens regime) while preserving contrast in the coherent limit.

We solve the Poisson–Thomas–Fermi electrostatics to map gate voltage Vg to the effective lens potential Veff(x,y), derive a stochastic dephasing budget setting a conservative operating bound of T_max ≈ 11 K (white-noise model) for high-mobility (μ > 10⁶ cm²/Vs) heterostructures, with projected extension to ≈ 29 K under spatially correlated noise, and propose a two-input XOR gate architecture using dual independent lenses. The split-step Fourier solver conserves norm to 10⁻¹³ and is converged to second order in space.

Important caveats: (i) no experimental data is presented — parameters are realistically plausible but not anchored to a measured device; (ii) the 50 meV/V electrostatic coupling and the noise amplitude (s_φ = 22) are empirically calibrated consistency fixes, not first-principles predictions; (iii) single-electron readout requires a cryogenic single-electron transistor (SET, typically T < 1 K), which is the actual thermal bottleneck of the system, not the interferometric coherence itself.

This deposit includes the full LaTeX source, Python simulation scripts, publication-quality figures, tracked JSON results, and the complete Git revision history.

Methodological note & Epistemic status:

This preprint is the product of an experimental multi-agent human-AI co-creation process directed by Fabrizio Terzi (founder of Pyragogy.org, https://pyragogy.org). The technical drafting, numerical solver derivation, and LaTeX generation were performed by distinct Large Language Models (Gemini for architectural framing, DeepSeek for equations and code, Kimi AI for adversarial review, and Pi Agent for DevOps execution), under Human-in-the-Loop (HITL) direction. The human author holds no formal academic credentials in mesoscopic physics. A critical numerical mismatch in the dephasing budget was identified and resolved during human auditing, leading to the conservative white-noise bound T_max ≈ 11 K reported in the revised version.

This document is an exploratory case study in hybrid knowledge creation, computational epistemology, and radical transparency. It is not a peer-reviewed experimental discovery.

GitHub Repository: https://github.com/FTG-003/entangletronica
Open Review: Critical feedback, physical refutations, and model audits by quantum transport researchers are welcomed directly on the GitHub Issue Tracker.