关联函数产物态的进一步发展：确定性优化和能量估算
Further developments in correlator product states: deterministic optimization and energy evaluation
摘要：
关联函数积态（CPS）是一类适用于任意维强关联问题的张量网络波函数。在这里，我们提出了一种方法，用于优化和评估的能量的CPS波函数，是非变的，但完全确定的。我们的技术的基本假设是CPS波函数是哈密顿量的精确本征态，允许通过薛定谔方程的投影近似获得能量。在二维晶格上对自旋为1/2的反铁磁海森堡模型、无自旋哈伯德模型和全自旋哈伯德模型进行了验证.在这些模型中的每一个中，投影方法将变分CPS能量再现到1%以内。对于费米子系统，我们还证明了纳入斯莱特行列式参考的ananterior，这使得CPS作为一个概括的Jastrow-Slater波函数。
英文摘要：
Correlator product states (CPS) are a class of tensor network wavefunctions applicable to strongly correlated problems in arbitrary dimensions. Here, we present a method for optimizing and evaluating the energy of the CPS wavefunction that is non-variational but entirely deterministic. The fundamental assumption underlying our technique is that the CPS wavefunction is an exact eigenstate of the Hamiltonian, allowing the energy to be obtained approximately through a projection of the Schrödinger equation. The validity of this approximation is tested on two dimensional lattices for the spin-1/2 antiferromagnetic Heisenberg model, the spinless Hubbard model, and the full Hubbard model. In each of these models, the projected method reproduces the variational CPS energy to within 1%. For fermionic systems, we also demonstrate the incorporation of a Slater determinant reference into the ansatz, which allows CPS to act as a generalization of the Jastrow-Slater wavefunction.
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