BEC-005
Quartic Trap
SuccessfulScratch27 Sept 2026 · 202 ms
main
73fafa8596
Code diff
current state--- a/experiments/gradient-flow.json
+++ b/experiments/quartic-trap.json
@@ -1 +1 @@
-{"experiment":"harmonic-ground-state","method":"gradient-flow","g":1,"dt":0.01,"nx":256,"xmax":8,"trap":"harmonic"}+{"experiment":"quartic-ground-state","method":"split-step","g":1,"dt":0.01,"nx":256,"xmax":8,"trap":"quartic","quartic":0.01}Scientific diff
first runGrid half-width
added8 aₕₒ
grid.half_width · command
Grid points
added256
grid.points · command
Chemical potential
added0.8826248 ℏω
solver.chemical_potential · results/quartic-trap/summary.json#/chemical_potential
Ground-state energy
added0.6992976 ℏω
solver.energy · results/quartic-trap/summary.json#/energy
Imaginary-time step
added0.01 ω⁻¹
solver.imaginary_time_step · command
Interaction strength g
added1 dimensionless
solver.interaction_strength · command
Iterations
added418
solver.iterations · results/quartic-trap/summary.json#/iterations
Imaginary-time method
addedsplit-step
solver.method · command
Normalization error
added2.220446e-16
solver.normalization_error · results/quartic-trap/summary.json#/normalization_error
Stationary-equation residual
added0.000572292
solver.stationary_residual · results/quartic-trap/summary.json#/residual
Quartic strength
added0.01
trap.quartic_strength · command
Trap potential
addedquartic
trap.type · command
Interpretation
What the result means
This run changes the trap to quartic and computes E=0.699297564 ℏω. Because the potential differs from the harmonic cases, its energy is not a direct comparison of solver convergence or method agreement.
Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.01).
Outputs
Artefacts
Ground-state density
figure · results/quartic-trap/density.png
Open artefact ↗
Energy convergence
figure · results/quartic-trap/convergence.png
Open artefact ↗Loading preview…
Solver summary
data · results/quartic-trap/summary.json
Open artefact ↗Structured evidence
Facts
| Fact | Value | Source |
|---|---|---|
Ground-state energy★ Uncategorised / solver.energy | 0.6992976 ℏω | results/quartic-trap/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 | 0.8826248 ℏω | results/quartic-trap/summary.json#/chemical_potential |
Imaginary-time step Uncategorised / solver.imaginary_time_step | 0.01 ω⁻¹ | command |
Interaction strength g Uncategorised / solver.interaction_strength | 1 dimensionless | command |
Iterations Uncategorised / solver.iterations | 418 | results/quartic-trap/summary.json#/iterations |
Imaginary-time method Uncategorised / solver.method | split-step | command |
Normalization error Uncategorised / solver.normalization_error | 2.220446e-16 | results/quartic-trap/summary.json#/normalization_error |
Stationary-equation residual Uncategorised / solver.stationary_residual | 0.000572292 | results/quartic-trap/summary.json#/residual |
Quartic strength Uncategorised / trap.quartic_strength | 0.01 | command |
Trap potential Uncategorised / trap.type | quartic | command |
Execution
Logs
stdout
No stdout was captured.
stderr
No stderr was captured.