MCTDHB Benchmarks
You can reproduce all the presented benchmarks with a few mouse-clicks, just download and run the MCTDHB-Laboratory (www.qdlab.org) - a free cross-platform (Win/Mac/Linux) JavaFX-based interface for the MCTDHB package.
Ground state energies of the harmonic interaction model (HIM) Hamiltonian.
Exact analytical vs. numerical MCTDHB(M) results, M is the number
of self-consistent orbitals used.
For more details, see:
Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type,
A. U. J. Lode, K. Sakmann, O. E. Alon, L. S. Cederbaum, and A. I. Streltsov, Phys. Rev. A
86, 063606 (2012).
The HIM Hamiltonian with time-dependent trap and time-dependent inter-particle
interaction
permits exact solution (TDHIM).
Shown is the oscillating part of the expectation value of the total
time-dependent Hamiltonian.
Exact vs. numerical MCTDHB(M) results, M is the number
of time-adaptive orbitals used.
For more details, see:
Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type,
A. U. J. Lode, K. Sakmann, O. E. Alon, L. S. Cederbaum, and A. I. Streltsov, Phys. Rev. A
86, 063606 (2012).