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Observation of BCM-Driven Schwinger-Like Pair Creation in a Minimal Integer Optical Lattice

Aurelio diaz

Published Nov 30, 2025• 0 citations
OpenAlex

Abstract

We report the first tabletop demonstration of the Brain Code Matrix (BCM) orchestrating Schwinger-like pair creation in a discrete optical lattice. A 10×10 grid of ⁸⁷Rb atoms encodes digits 0–9 via site occupancy. A masked 532 nm laser pulse selectively excites columns 3, 6, and 9 (the BCM torsion axis). When the accumulated field reaches the exact integer threshold R = 2187 (= 9² × 3³), threshold-driven complementary pairs (d, 9-d) manifest as bright fluorescence bursts — exclusively along the torsion axis. The experiment provides direct physical evidence that a pure integer lattice can guide structured emergence of correlated excitations from a driven vacuum analog. Preprint — November 29, 2025 Independent researcher License: CC BY 4.0

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•Sep 15, 2026•0 citations
We report the first tabletop demonstration of the Brain Code Matrix (BCM) orchestrating Schwinger-like pair creation in a discrete optical lattice. A 10×10 grid of ⁸⁷Rb atoms encodes digits 0–9 via site occupancy. A masked 532 nm laser pulse selectively excites columns 3, 6, and 9 (the BCM torsion axis). When the accumulated field reaches the exact integer threshold R = 2187 (= 9² × 3³), threshold-driven complementary pairs (d, 9-d) manifest as bright fluorescence bursts — exclusively along the torsion axis. The experiment provides direct physical evidence that a pure integer lattice can guide structured emergence of correlated excitations from a driven vacuum analog. Preprint — November 29, 2025 Independent researcher License: CC BY 4.0
The spontaneous creation of electron–positron pairs out of the vacuum due to a strong electric field is a spectacular manifestation of the relativistic energy–momentum relation for the Dirac fermions. This fundamental prediction of quantum electrodynamics has not yet been confirmed experimentally, as the generation of a sufficiently strong electric field extending over a large enough space–time volume still presents a challenge. Surprisingly, distant areas of physics may help us to circumvent this difficulty. In condensed matter and solid state physics (areas commonly considered as low-energy physics), one usually deals with quasi-particles instead of real electrons and positrons. Since their mass gap can often be freely tuned, it is much easier to create these light quasi-particles by an analogue of the Sauter–Schwinger effect. This motivates our proposal for a quantum simulator in which excitations of ultra-cold atoms moving in a bichromatic optical lattice represent particles and antiparticles (holes) satisfying a discretized version of the Dirac equation together with fermionic anti-commutation relations. Using the language of second quantization, we are able to construct an analogue of the spontaneous pair creation which can be realized in an (almost) table-top experiment.
Ultracold atoms in specifically designed optical lattices can be used to mimic the many-particle Hamiltonian (whose effective parameters can be tuned in a wide range) describing electrons and positrons in an external electric field. This analogy facilitates the experimental simulation of (so far unobserved) fundamental quantum phenomena such as the Schwinger effect, i.e., spontaneous electron-positron pair creation out of the vacuum by a strong electric field. Such an experiment would also test nonperturbative aspects of these lattice systems.
Overview This repository contains the computational code, simulation scripts, and diagnostic notebooks for simulating the 1+1-dimensional Schwinger model (Quantum Electrodynamics) on a quantum processor emulator. The project investigates real-time vacuum decay and electron-positron pair production under extreme laser electric field quenches, utilizing parameters chosen to align with high-field physics regimes studied at facilities like the Extreme Light Infrastructure - Nuclear Physics (ELI-NP) project. Repository Contents The core material is contained within a self-contained Jupyter Notebook designed as a computational essay that links theoretical derivations directly to code execution. The pipeline covers: Lattice Hamiltonian Construction: Setting up the N=6N=6N=6 site Kogut-Susskind staggered fermion model via Jordan-Wigner transformation and native SparsePauliOp arithmetic. Laser Quench Evolution: Implementing a time-dependent Gaussian-envelope oscillating electric field coupled via site-dependent driving operators, evolved using first-order Suzuki-Trotter decomposition (PauliEvolutionGate). NISQ Noise Modeling & ZNE Mitigation: Executing noisy density matrix simulations via Qiskit Aer (AerSimulator) under a standard depolarizing noise model (ϵ1q=0.002\epsilon_{1\text{q}} = 0.002ϵ1q​=0.002, ϵ2q=0.015\epsilon_{2\text{q}} = 0.015ϵ2q​=0.015), followed by Zero-Noise Extrapolation using scale-factor circuit folding (sf∈{1,3}sf \in \{1, 3\}sf∈{1,3}) and linear fitting. Advanced Quantum Diagnostics: Tracking the growth of Von Neumann entanglement entropy across a spatial bipartition as a proxy for string breaking, alongside spatiotemporal heatmaps mapping site-resolved chiral condensate melting (⟨ψˉψ⟩i\langle \bar{\psi}\psi \rangle_i⟨ψˉ​ψ⟩i​). Software Requirements & Dependencies To run the simulation and generate the diagnostic figures, the code requires Python along with the following libraries: qiskit qiskit-aer numpy matplotlib
This paper presents the formal computational verification of the Refresh Rate Hypothesis (RRH), demonstrating that Special Relativistic kinematics, Heisenberg uncertainty, and non-local quantum correlations emerge natively from a discrete, capacity-limited lattice vacuum. Utilizing an optimized three-dimensional Face-Centered Cubic (FCC) matrix operating at 934 volumetric frames per second, we implement a strict local processing budget governing cell updates. When localized wave packets translate across coordinates, their internal phase clocks automatically dilate along Einstein’s exact non-linear Lorentz curve to conserve computational resources, achieving a tracking precision within 2.118e-7% variance. Furthermore, we show that by replacing classical angular phase-readouts with a discrete ontic change-of-basis sieve governed by field-wide phase conservation, the ensemble statistics break the classical Bell bound, exactly saturating the Tsirelson limit (|S| = 2.8284) across an airtight 100-tick spacelike communication horizon. These findings eliminate the 60-year deadlock between discrete space and continuous invariants, providing a fully local, deterministic foundation for unified physics. Key Computational Milestones & Datasets Documented: The RRH Lattice Update Kernel: Implements a discrete fractional accumulator on a 12-neighbor Face-Centered Cubic (FCC) matrix to completely eliminate grid anisotropy and numerical shape-diffusion at fractional velocities. Relativistic Budget Verification: Demonstrates an unquantized clock dilation precision tracking Einstein's curves within a 2.118×10⁻⁷% error margin under high-speed diagonal 0.6c transit. Emergent Quantum Symmetries: Establishes wave-particle double-slit duality with a coherent fringe visibility score of 0.999447, while deriving the Heisenberg Uncertainty Principle as an informational hardware sampling constraint. Causal CHSH Joint Correlation Statistics (Step 5B): Introduces a Paired Conservation Sieve that breaks the classical local ceiling (|S| ≤ 2.0) to capture the absolute Tsirelson limit (|S| = 2.8284) with zero superluminal data cheating.
We determine the minimum complex-Haar variance of the average purity over exactly n distinct balanced bipartitions of an n-party pure state, identifying complementary subsystems. For each n in {6,8,10,12,14,16}, the same explicit families are globally optimal for every integer equal local dimension d >= 2. The established fixed-pair Haar moment expresses the variance as a positive affine function of an even correlation cost. A parity floor settles n congruent to 2 modulo 4. For n congruent to 0 modulo 4, an established quadratic supersaturated-design bound combines with a strict scalar minorant, proved uniformly in d, to give the nonlinear optimum. The equality conditions characterize the entire minimizing set independently of dimension. We give exact score-gap identities, a direct sixteen-site grid construction, and an obstruction to attaining its bound by adjoining a column to a complete balanced orthogonal core. We also derive the exact mean variance of uniformly sampled families without replacement from the complement quotient. At fixed n>6, the relative gain has order d^(-2) with explicit coefficients; at n=6 every family is optimal. Explicit coordinates and a standalone exact-arithmetic checker accompany the proof. The results concern fluctuations across random states and provide finite benchmarks for selecting subsystems. Correspondence: Ryosuke.Shiroshita@exactory.ai This preprint was written by exactory.ai (https://www.exactory.ai), an AI research system. The human author, Shiroshita, Ryosuke, reviewed the full content and is responsible for it.