Block entropy area based non-local fermionic mode optimization with gradient disentanglers

@misc{werner2026block,
  title = {{Block entropy area based non-local fermionic mode optimization with gradient disentanglers}},
  author = {Miklós Antal Werner and Gero Friesecke and Andor Menczer and Kornél Kapás and Örs Legeza},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11811},
  eprint = {2609.11811},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11811},
}

TY  - UNPB
TI  - Block entropy area based non-local fermionic mode optimization with gradient disentanglers
AU  - Miklós Antal Werner
AU  - Gero Friesecke
AU  - Andor Menczer
AU  - Kornél Kapás
AU  - Örs Legeza
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11811
UR  - https://arxiv.org/abs/2609.11811
AB  - We introduce a systematic block entropy area based mode optimization algorithm for many-body quantum states of interacting fermions represented by matrix product states. From the gradient of a global cost function, the block entropy area, a long-ranged, non-interacting effective disentangler Hamiltonian is formed. We then simulate the time-dependent Schrödinger equation driven by the disentangler Hamiltonian by employing the time-dependent variational principle based on projector splitting, and minimize the cost function. The combination of the density matrix renormalization group with this gradient-based entanglement minimization forms an efficient low-rank iterative ground-state algorithm that also provides an optimized single-particle basis for matrix product state representation. We demonstrate the method on two-dimensional lattice models of interacting fermions and the Fe_4S_4 cluster, and show its robustness and superiority over earlier protocols using nearest-neighbor mode rotations and reorderings.
ER  -