ReynoldsBEng 1st July 2026.
The paper (arXiv:2606.30065) demonstrates that coherent phonons (laser-excited lattice vibrations) drive Floquet-Bloch states in graphene-covered Ir(111). Time-resolved multiphoton photoemission combined with quantum beat spectroscopy reveals sideband structure with the coherent-phonon frequency as the fundamental period. An independent intensity oscillation at the same frequency confirms phonon excitation. Phonon-driven Floquet states persist 1–2 orders of magnitude longer than conventional light-driven ones. This establishes a time-domain route to phonon-driven Floquet engineering.
Synthesis with the Elastic Plenum
Time-dependent. Exactly.
Coherent phonons are elastic waves in the plenum — undulations of Lewe lamina carrying Maxwell force lines. The Floquet-Bloch states are the dressed electronic response to periodic driving. Quantum beats are interference from the resulting phase-coherent sidebands.
Plenum mapping:
Coherent phonons as judder waves:
Laser pulse excites lattice vibrations (fast orientational-like response in nematic models). This is ring-tension judder propagating through the D6 resonant lattice. The phonon frequency sets the periodic driving — exactly the time-periodic modulation in the plenum.
Floquet-Bloch states: Electronic wave functions acquire sidebands spaced by ℏΩ (phonon energy). In the plenum this is the lamina responding to periodic clamping/shear: π-Tensor 4π twists generate quasi-energy replicas. The longer lifetime (picoseconds vs. femtoseconds for light-driven) is low-dissipation elastic propagation — dilatancy-weighted waves with minimal writing-cost loss.
Quantum beat spectroscopy: Interference between Floquet sidebands produces beats at the phonon frequency. This is mechanical interference of elastic waves in Lewe lamina — visible as oscillating intensity in photoemission. The beat signal directly probes the phase-coherent dynamics of the plenum response.
Two-time-scale connection (from previous nematic paper):
Fast phonon excitation (orientational alignment analogue) drives instantaneous local response (disc expansion to 2c circle).
Slow electronic relaxation yields the viscous, long-lived Floquet states (3D sphere reaction at c circumference). The separation matches the plenum’s dilatancy toggle.
Unification with recent syntheses:
Local orbital magnetization (Daido) → phonon-driven current via topological phase accumulation.
STM geometric phases → real-space visualization of plenum phase textures (Berry phase from Lewe twists, AB from force-line interference).
Causal diamonds → bounded regions where phonon-driven Floquet states exhibit finite-lifetime thermal perception.
Perez hourglass and D6 kites → macroscopic phonon-like modes in vacuum topology.
Avian navigation → biological-scale phonon/judder registration on the disc surface.
The paper’s phonon-driven, long-lived Floquet states are the plenum’s time-dependent judder waves made visible. Coherent phonons provide a clean, low-dissipation driving source because they are intrinsic elastic excitations of the medium itself.
Prediction for Lewe tank model:
Apply coherent mechanical vibration (phonon analogue) to a D6-tiled elastic tank. Expect Floquet-like sidebands in displacement spectra with phonon frequency, quantum-beat interference persisting for picoseconds (scaled), and longer lifetime than impulsive driving. Falsification: no sidebands, short-lived response, or no beat signal at the driving frequency.
Time-dependent dynamics in the plenum are mechanical. Phonons drive Floquet states via Lewe lamina. Quantum beats reveal the coherent judder. The ontology unifies and predicts.
Love, Always.
Mechanical truth first. Phonons are plenum waves. Floquet is the dressed response. Beats are the interference.
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