sci.rs — Scientific run history

Experiment

harmonic ground state

At the same harmonic potential, g, dt, and grid, gradient flow gives E=0.689404263 ℏω versus 0.689403720 ℏω for split-step, an absolute difference of 5.43e-07 ℏω. The energies agree within 1×10⁻⁵ ℏω; the finite-difference residual (0.00122) is higher than the split-step residual (0.000551), so residuals retain method-dependent discretization.

Current baseline

BEC-003

Harmonic Small Step

Baseline

Run history · 4 runs

Run	Title	Experiment	Status	Branch	Commit	When
BEC-004	Gradient Flow Computed with the 1D Gross-Pitaevskii solver (gradient-flow, g=1, dt=0.01).	harmonic-ground-state	Notable	main	73fafa8	6h ago
BEC-003	Harmonic Small Step Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.005).	harmonic-ground-state	Baseline	main	73fafa8	6h ago
BEC-002	Harmonic Interacting Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.01).	harmonic-ground-state	Scratch	main	73fafa8	6h ago
BEC-001	Harmonic Reference Computed with the 1D Gross-Pitaevskii solver (split-step, g=0, dt=0.01).	harmonic-ground-state	Notable	main	73fafa8	6h ago

Highlighted fact history

Run	Ground-state energy
BEC-004	0.6894043 ℏω
BEC-003	0.6894036 ℏω
BEC-002	0.6894037 ℏω
BEC-001	0.499877 ℏω

Scientific diffs

BEC-004 →Gradient FlowNotable

Compared with BEC-002

Ground-state energychanged

0.6894037 ℏω→0.6894043 ℏωΔ 5.431416e-7

solver.energy

Chemical potentialchanged

0.8699416 ℏω→0.8700337 ℏωΔ 0.00009208365

solver.chemical_potential

Iterationschanged

444 →187 Δ -257

solver.iterations

Imaginary-time methodchanged

split-step →gradient-flow

solver.method

Normalization errorchanged

0 →2.220446e-16 Δ 2.220446e-16

solver.normalization_error

Stationary-equation residualchanged

0.0005514652 →0.001220579 Δ 0.0006691143

solver.stationary_residual

BEC-003 →Harmonic Small StepBaseline

Compared with BEC-002

Ground-state energychanged

0.6894037 ℏω→0.6894036 ℏωΔ -7.923768e-8

solver.energy

Chemical potentialchanged

0.8699416 ℏω→0.8699091 ℏωΔ -0.00003256654

solver.chemical_potential

Imaginary-time stepchanged

0.01 ω⁻¹→0.005 ω⁻¹Δ -0.005

solver.imaginary_time_step

Iterationschanged

444 →726 Δ 282

solver.iterations

Stationary-equation residualchanged

0.0005514652 →0.0002723116 Δ -0.0002791535

solver.stationary_residual

BEC-002 →Harmonic InteractingScratch

Compared with BEC-001

Ground-state energychanged

0.499877 ℏω→0.6894037 ℏωΔ 0.1895267

solver.energy

Chemical potentialchanged

0.499877 ℏω→0.8699416 ℏωΔ 0.3700646

solver.chemical_potential

Interaction strength gchanged

0 dimensionless→1 dimensionlessΔ 1

solver.interaction_strength

Iterationschanged

2 →444 Δ 442

solver.iterations

Normalization errorchanged

4.440892e-16 →0 Δ -4.440892e-16

solver.normalization_error

Stationary-equation residualchanged

0.0004018658 →0.0005514652 Δ 0.0001495994

solver.stationary_residual

Energy error from E = 1/2removed

-0.0001229891 ℏω

solver.harmonic_reference_energy_error

Chemical-potential error from μ = 1/2removed

-0.0001229891 ℏω

solver.harmonic_reference_mu_error

BEC-001 →Harmonic ReferenceNotable

First run in the available experiment history

Grid half-widthadded

8 aₕₒ

grid.half_width

Grid pointsadded

256

grid.points

Chemical potentialadded

0.499877 ℏω

solver.chemical_potential

Ground-state energyadded

0.499877 ℏω

solver.energy

Energy error from E = 1/2added

-0.0001229891 ℏω

solver.harmonic_reference_energy_error

Chemical-potential error from μ = 1/2added

-0.0001229891 ℏω

solver.harmonic_reference_mu_error

Imaginary-time stepadded

0.01 ω⁻¹

solver.imaginary_time_step

Interaction strength gadded

0 dimensionless

solver.interaction_strength

Iterationsadded

solver.iterations

Imaginary-time methodadded

split-step

solver.method

Normalization erroradded

4.440892e-16

solver.normalization_error

Stationary-equation residualadded

0.0004018658

solver.stationary_residual

Trap potentialadded

harmonic

trap.type

harmonic ground state

Run history · 4 runs

Run	Title	Experiment	Status	Branch	Commit	When
BEC-004	Gradient Flow Computed with the 1D Gross-Pitaevskii solver (gradient-flow, g=1, dt=0.01).	harmonic-ground-state	Notable	main	73fafa8	6h ago
BEC-003	Harmonic Small Step Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.005).	harmonic-ground-state	Baseline	main	73fafa8	6h ago
BEC-002	Harmonic Interacting Computed with the 1D Gross-Pitaevskii solver (split-step, g=1, dt=0.01).	harmonic-ground-state	Scratch	main	73fafa8	6h ago
BEC-001	Harmonic Reference Computed with the 1D Gross-Pitaevskii solver (split-step, g=0, dt=0.01).	harmonic-ground-state	Notable	main	73fafa8	6h ago

Highlighted fact history

Run	Ground-state energy
BEC-004	0.6894043 ℏω
BEC-003	0.6894036 ℏω
BEC-002	0.6894037 ℏω
BEC-001	0.499877 ℏω

Scientific diffs

BEC-004 →Gradient FlowNotable

Compared with BEC-002

Ground-state energychanged

0.6894037 ℏω→0.6894043 ℏωΔ 5.431416e-7

solver.energy

Chemical potentialchanged

0.8699416 ℏω→0.8700337 ℏωΔ 0.00009208365

solver.chemical_potential

Iterationschanged

444 →187 Δ -257

solver.iterations

Imaginary-time methodchanged

split-step →gradient-flow

solver.method

Normalization errorchanged

0 →2.220446e-16 Δ 2.220446e-16

solver.normalization_error

Stationary-equation residualchanged

0.0005514652 →0.001220579 Δ 0.0006691143

solver.stationary_residual

BEC-003 →Harmonic Small StepBaseline

Compared with BEC-002

Ground-state energychanged

0.6894037 ℏω→0.6894036 ℏωΔ -7.923768e-8

solver.energy

Chemical potentialchanged

0.8699416 ℏω→0.8699091 ℏωΔ -0.00003256654

solver.chemical_potential

Imaginary-time stepchanged

0.01 ω⁻¹→0.005 ω⁻¹Δ -0.005

solver.imaginary_time_step

Iterationschanged

444 →726 Δ 282

solver.iterations

Stationary-equation residualchanged

0.0005514652 →0.0002723116 Δ -0.0002791535

solver.stationary_residual

BEC-002 →Harmonic InteractingScratch

Compared with BEC-001

Ground-state energychanged

0.499877 ℏω→0.6894037 ℏωΔ 0.1895267

solver.energy

Chemical potentialchanged

0.499877 ℏω→0.8699416 ℏωΔ 0.3700646

solver.chemical_potential

Interaction strength gchanged

0 dimensionless→1 dimensionlessΔ 1

solver.interaction_strength

Iterationschanged

2 →444 Δ 442

solver.iterations

Normalization errorchanged

4.440892e-16 →0 Δ -4.440892e-16

solver.normalization_error

Stationary-equation residualchanged

0.0004018658 →0.0005514652 Δ 0.0001495994

solver.stationary_residual

Energy error from E = 1/2removed

-0.0001229891 ℏω

solver.harmonic_reference_energy_error

Chemical-potential error from μ = 1/2removed

-0.0001229891 ℏω

solver.harmonic_reference_mu_error

BEC-001 →Harmonic ReferenceNotable

First run in the available experiment history

Grid half-widthadded

8 aₕₒ

grid.half_width

Grid pointsadded

256

grid.points

Chemical potentialadded

0.499877 ℏω

solver.chemical_potential

Ground-state energyadded

0.499877 ℏω

solver.energy

Energy error from E = 1/2added

-0.0001229891 ℏω

solver.harmonic_reference_energy_error

Chemical-potential error from μ = 1/2added

-0.0001229891 ℏω

solver.harmonic_reference_mu_error

Imaginary-time stepadded

0.01 ω⁻¹

solver.imaginary_time_step

Interaction strength gadded

0 dimensionless

solver.interaction_strength

Iterationsadded

solver.iterations

Imaginary-time methodadded

split-step

solver.method

Normalization erroradded

4.440892e-16

solver.normalization_error

Stationary-equation residualadded

0.0004018658

solver.stationary_residual

Trap potentialadded

harmonic

trap.type