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

• URL: http://arxiv.org/abs/2609.11811v1
• Date: Thu, 10 Sep 2026 17:05:07 GMT
• Title: Block entropy area based non-local fermionic mode optimization with gradient disentanglers
• Abstract summary: We introduce a systematic block entropy area based mode optimization algorithm for many-body quantum states of interacting fermions represented by matrix product states.<n>We demonstrate the method on two-dimensional lattice models of interacting fermions and the Fe$_4$S$_4$ cluster, and show its robustness and superiority over earlier protocols using nearest-neighbor mode rotations and reorderings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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${_4}$S${_4}$ cluster, and show its robustness and superiority over earlier protocols using nearest-neighbor mode rotations and reorderings.

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