BEC-006
Double Well
SuccessfulScratch27 Sept 2026 · 215 ms
main
73fafa8596
Code diff
current state--- a/experiments/quartic-trap.json
+++ b/experiments/double-well.json
@@ -1 +1 @@
-{"experiment":"quartic-ground-state","method":"split-step","g":1,"dt":0.01,"nx":256,"xmax":8,"trap":"quartic","quartic":0.01}+{"experiment":"double-well-ground-state","method":"split-step","g":1,"dt":0.01,"nx":256,"xmax":8,"trap":"double-well","barrier":2}Scientific diff
first runGrid half-width
added8 aₕₒ
grid.half_width · command
Grid points
added256
grid.points · command
Chemical potential
added2.269581 ℏω
solver.chemical_potential · results/double-well/summary.json#/chemical_potential
Ground-state energy
added2.145993 ℏω
solver.energy · results/double-well/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
added594
solver.iterations · results/double-well/summary.json#/iterations
Imaginary-time method
addedsplit-step
solver.method · command
Normalization error
added0
solver.normalization_error · results/double-well/summary.json#/normalization_error
Stationary-equation residual
added0.0002135043
solver.stationary_residual · results/double-well/summary.json#/residual
Double-well barrier
added2
trap.central_barrier · command
Trap potential
addeddouble-well
trap.type · command
Interpretation
What the result means
This run changes the trap to double-well and computes E=2.145993015 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/double-well/density.png
Open artefact ↗
Energy convergence
figure · results/double-well/convergence.png
Open artefact ↗Loading preview…
Solver summary
data · results/double-well/summary.json
Open artefact ↗Structured evidence
Facts
| Fact | Value | Source |
|---|---|---|
Ground-state energy★ Uncategorised / solver.energy | 2.145993 ℏω | results/double-well/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 | 2.269581 ℏω | results/double-well/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 | 594 | results/double-well/summary.json#/iterations |
Imaginary-time method Uncategorised / solver.method | split-step | command |
Normalization error Uncategorised / solver.normalization_error | 0 | results/double-well/summary.json#/normalization_error |
Stationary-equation residual Uncategorised / solver.stationary_residual | 0.0002135043 | results/double-well/summary.json#/residual |
Double-well barrier Uncategorised / trap.central_barrier | 2 | command |
Trap potential Uncategorised / trap.type | double-well | command |
Execution
Logs
stdout
No stdout was captured.
stderr
No stderr was captured.