BEC-003
Harmonic Small Step
SuccessfulBaseline27 Sept 2026 · 219 ms
main
73fafa8596
Code diff
vs BEC-002--- a/experiments/harmonic-interacting.json
+++ b/experiments/harmonic-small-step.json
@@ -1 +1 @@
-{"experiment":"harmonic-ground-state","method":"split-step","g":1,"dt":0.01,"nx":256,"xmax":8,"trap":"harmonic"}+{"experiment":"harmonic-ground-state","method":"split-step","g":1,"dt":0.005,"nx":256,"xmax":8,"trap":"harmonic"}Scientific diff
vs BEC-002Ground-state energy
changed0.6894037 ℏω→0.6894036 ℏωΔ -7.923768e-8
solver.energy · results/harmonic-small-step/summary.json#/energy
Chemical potential
changed0.8699416 ℏω→0.8699091 ℏωΔ -0.00003256654
solver.chemical_potential · results/harmonic-small-step/summary.json#/chemical_potential
Imaginary-time step
changed0.01 ω⁻¹→0.005 ω⁻¹Δ -0.005
solver.imaginary_time_step · command
Iterations
changed444 →726 Δ 282
solver.iterations · results/harmonic-small-step/summary.json#/iterations
Stationary-equation residual
changed0.0005514652 →0.0002723116 Δ -0.0002791535
solver.stationary_residual · results/harmonic-small-step/summary.json#/residual
Interpretation
What the result means
Reducing dt from 0.01 to 0.005 changes E by 7.92e-08 ℏω (0.689403720 to 0.689403641 ℏω). The change is below 1×10⁻⁶ ℏω at fixed g, trap, and grid, supporting this run as the harmonic reference baseline.
Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.005).
Outputs
Artefacts
Ground-state density
figure · results/harmonic-small-step/density.png
Open artefact ↗
Energy convergence
figure · results/harmonic-small-step/convergence.png
Open artefact ↗Loading preview…
Solver summary
data · results/harmonic-small-step/summary.json
Open artefact ↗Structured evidence
Facts
| Fact | Value | Source |
|---|---|---|
Ground-state energy★ Uncategorised / solver.energy | 0.6894036 ℏω | results/harmonic-small-step/summary.json#/energy |
Grid half-width Uncategorised / grid.half_width | 8 aₕₒ | command |
Grid points Uncategorised / grid.points | 256 | command |
Chemical potential Uncategorised / solver.chemical_potential | 0.8699091 ℏω | results/harmonic-small-step/summary.json#/chemical_potential |
Imaginary-time step Uncategorised / solver.imaginary_time_step | 0.005 ω⁻¹ | command |
Interaction strength g Uncategorised / solver.interaction_strength | 1 dimensionless | command |
Iterations Uncategorised / solver.iterations | 726 | results/harmonic-small-step/summary.json#/iterations |
Imaginary-time method Uncategorised / solver.method | split-step | command |
Normalization error Uncategorised / solver.normalization_error | 0 | results/harmonic-small-step/summary.json#/normalization_error |
Stationary-equation residual Uncategorised / solver.stationary_residual | 0.0002723116 | results/harmonic-small-step/summary.json#/residual |
Trap potential Uncategorised / trap.type | harmonic | command |
Execution
Logs
stdout
No stdout was captured.
stderr
No stderr was captured.