Transitioning artificial intelligence from dissipative von Neumann CMOS architectures toward the ultimate physical bounds of non-equilibrium thermodynamics requires hardware substrates capable of non-thermal state reconfiguration, reversible logic execution, and phase-coherent optical routing. Building upon our recent formulations of high-frequency Zeeman–Floquet gauge dynamics, extended topological electrodynamics, and two-century physical bounds on machine intelligence, we construct a rigorous theoretical blueprint for sub-Landauer, in-memory neuromorphic computing in twisted van der Waals moiré Chern ferromagnets coupled to nanophotonic and slow-light waveguides.
$$\Delta S_{ ext{irr}} \le rac{\pi \hbar}{ au_{ ext{gate}} k_B T} \exp\left(- rac{\Delta_{ ext{gap}} au_{ ext{gate}}}{\hbar} ight) + rac{\gamma_{ ext{damping}}}{\omega_{ ext{drive}}} k_B \ll k_B \ln 2$$
By operating in flat-band regimes where scalar kinetic dispersion is quenched ($v_0 o 0$) and the optomagnetic mixing ratio is maximized, we demonstrate that structured optical pulses satisfying $\mathbf{E}_{ ext{opt}} \cdot \mathbf{B}_{ ext{opt}} eq 0$ drive coherent, bijective topological switching across 0- and $\pi$-quasienergy gaps without carrier thermalization. Using the non-equilibrium Keldysh–Floquet formalism on a regularized two-dimensional lattice, we derive the adiabatic Chern–Simons response alongside explicit upper bounds on dissipative entropy production $\Delta S_{ ext{irr}}$ per gate operation. Coupling these pseudoscalar optomagnetic memory arrays to ultra-cold atomic Bose–Einstein condensates (BECs) under Electromagnetically Induced Transparency (EIT) provides non-dissipative tensor buffering.
| Architecture Paradigm | Energy / Operation ($E_{ ext{op}}$) | Switching Latency ($ au$) | Thermal Dissipation Mechanism | Landauer Ratio ($E_{ ext{diss}} / k_B T \ln 2$) |
|---|---|---|---|---|
| 2026 Frontier CMOS (2nm FinFET) | $\sim 10^{-15} ext{ J}$ ($1 ext{ fJ}$) | $\sim 100 ext{ ps}$ | Ohmic Joulean $CV^2$ charging & sub-threshold leakage | $\sim 3.5 imes 10^5$ (Highly Dissipative) |
| Photonic MZI Linear Arrays | $\sim 10^{-17} ext{ J}$ ($10 ext{ aJ}$) | $\sim 10 ext{ ps}$ | Thermo-optic phase-shifter static bias dissipation | $\sim 3.5 imes 10^3$ (Intermediate) |
| Floquet–Chern Optomagnetic Logic | $\mathbf{\sim 10^{-22} ext{ J}}$ ($0.1 ext{ zJ}$) | $\mathbf{\sim 250 ext{ fs}}$ | Non-thermal adiabatic topological switching | $\mathbf{\le 0.035}$ (Sub-Landauer Reversible) |
@article{DeCeuster2026OptomagneticLogic,
author = {Peter De Ceuster},
title = {Sub-Landauer Optomagnetic Logic: Non-Thermal Floquet--Chern Switching and Pseudoscalar Photonic Gates for Reversible Neuromorphic Computing},
journal = {Sig Labs Theoretical Physics & Neuromorphic Architectures Series},
year = {2026},
month = {November},
day = {15},
url = {https://peterdeceuster.uk/pen/optomagnetic-logic.html},
note = {Published on peterdeceuster.uk/pen/optomagnetic-logic.html}
}