Perf&Refactor: optimize the performanace of psi_initializer with omp

[kirk0830]

Linked Issue

Fix #5123

Presently the improvement in performace seems limited:

Unit Tests and/or Case Tests for my changes

• A unit test is added for each new feature or bug fix.

What's changed?

• Example: My changes might affect the performance of the application under certain conditions, and I have tested the impact on various scenarios...

Any changes of core modules? (ignore if not applicable)

• Example: I have added a new virtual function in the esolver base class in order to ...