Output messages

Table of Contents

• Partitioning of Hilbert space
• Acceptance rate of Monte Carlo updates

Partitioning of Hilbert space

The solver diagonalize the local Hamiltonian before starting Monte Carlo sampling. The following is typical output messages on the local Hilbert space (t2g three-orbital model).

The dimension of the Hilbert space is 64 (=4^3). The solver automatically found 44 sectors. Information on each sector is shown below: dimension, min eigen energy, max eigen energy.

dim of Hilbert space 64
# of sectors 44
Sector 0 : dim = 1, min energy = 116.515, max energy = 116.515
Sector 1 : dim = 1, min energy = 78.4277, max energy = 78.4277
Sector 2 : dim = 1, min energy = 78.4277, max energy = 78.4277
Sector 3 : dim = 1, min energy = 46.7796, max energy = 46.7796
Sector 4 : dim = 1, min energy = 78.4277, max energy = 78.4277
...
Sector 42 : dim = 1, min energy = 0.751277, max energy = 0.751277
Sector 43 : dim = 1, min energy = 0, max energy = 0

The max and min eigen energies in the whole Hilbert space is shown like this.

 Max eigen energy = 116.515
 Min eigen energy = 0

Then, high-energy states above the cut-off energy are removed from the local Hilbert space. (In this case, no truncation is performed) Then, it follows information of the sectors after the truncation.

 Throwing away high energy states...
Sector 0 : dim = 1, min energy = 116.515, max energy = 116.515
Sector 1 : dim = 1, min energy = 78.4277, max energy = 78.4277
Sector 2 : dim = 1, min energy = 78.4277, max energy = 78.4277
Sector 3 : dim = 1, min energy = 46.7796, max energy = 46.7796
Sector 4 : dim = 1, min energy = 78.4277, max energy = 78.4277
Sector 5 : dim = 1, min energy = 46.7796, max energy = 46.7796

Acceptance rate of Monte Carlo updates