Frequency-Trajectory Control of Resonant Systems

Phase 1b (theoretical model) — intermediate checkpoint complete

A laser system capable of programmable frequency trajectories ν(t) on timescales comparable to a resonant system's dynamical response constitutes a control resource distinct from static detuning, provided the direction of frequency traversal produces measurable asymmetry in the system's response.

Document Suite

The project follows the T(h)reehouse +EC open-science Harbour architecture. Each document has a defined type and role:

coastline stable v0.5
Frequency-Trajectory Control of Resonant Systems

Three novel boundaries, four-node collaboration geometry, phased engagement strategy.
discriminant frozen v0.2
Chirp-Direction Asymmetry

Single falsifiable prediction that separates the programme from incremental improvement.
sail stable v0.3
Driving Systems Across Boundaries

Interpretive companion. Traversal vs probing, three-clock mechanism, control-paradigm implications.
handbook stable v0.2
Phase 1b Memo — Node 4 Deliverable

Minimum coupled-mode model specification. Required outputs, reference parameters, success criterion.
handbook preliminary
Phase 1b Checkpoint

Symmetry check results. Two-channel coupling sufficient, thermal channel is spectator.

Key Finding

Phase 1b checkpoint result

The chirp-direction asymmetry is governed by a single dimensionless parameter:

η = Gx2 · Pin / (r2 · m · κ2)

Two-channel (optical–mechanical) coupling is sufficient. The thermal clock is a spectator at the tested parameters. The asymmetry arises from sign-dependent radiation-pressure feedback during chirp traversal.

Regime Channels AE ≠ 0?
thermal_only (Gx = 0) optical + thermal No
mechanical_only (α = 0) optical + mechanical Yes
full all three Yes

Collaboration Geometry

Node 1
Trajectory Generation

Electro-optic photonics, waveform control, RF-to-optical transfer

Node 2
System & Measurement

Trapped/levitated particles, precision detection, phase-sensitive readout

Node 3
Precision Validation

Metrology-grade quantum control, microresonators, frequency combs

Node 4
Theoretical Prediction

Open-system dynamics, nonlinear ODEs, dissipative traversal models

Phase Roadmap

Phase 1a — Internal Alignment Discriminant sheet, coastline, sail
Phase 1b — Theoretical Model Symmetry check complete, analytical derivation done. Full AE(r) curve in progress.
Phase 2 — Platform Discussion Present discriminant and model predictions to Node 1
Phase 3 — External Validation Approach Node 3 with falsifiable test and theoretical predictions

Harbour Terminology