Matrix product ansatz for Fermi fields in one dimension

Matrix product ansatz for Fermi fields in one dimension
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DOI:
10.1103/physrevb.91.121108
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发表时间:
2015-01
期刊:
影响因子:
3.7
通讯作者:
Sangwoo S. Chung;K. Sun;C. Bolech
Sangwoo S. Chung;K. Sun;C. Bolech
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Sangwoo S. Chung;K. Sun;C. Bolech

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我们提出了一个一维二分量费米子的连续矩阵乘积态的实现。我们提出了一个高效的参数化的变分矩阵的建设,尊重平移对称性的问题(而不是过度约束),并很容易满足的规律性条件,所产生的去除紫外发散的动能。我们测试了我们的方法的有效性,在相互作用的自旋1/2系统,并观察到的anterior正确预测的基态磁性的吸引自旋1/2费米气体,包括相位振荡对相关函数在部分极化制度。
We present an implementation of a continuous matrix product state for two-component fermions in one-dimension. We propose a construction of variational matrices with an efficient parameterization that respects the translational symmetry of the problem (without being overly constraining) and readily meets the regularity conditions that arise from removing the ultraviolet divergences in the kinetic energy. We test the validity of our approach on an interacting spin-1/2 system and observe that the ansatz correctly predicts the ground state magnetic properties for the attractive spin-1/2 Fermi gas, including the phase-oscillating pair correlation function in the partially polarized regime.