Perturbative Schwinger-Dyson-equations-of-motion for quantum spins 1/2: Ising model of two spins in tilted fields

Chang Cheng; Wen Xin Ding

doi:10.1117/12.2692892

23 August 2023 Perturbative Schwinger-Dyson-equations-of-motion for quantum spins 1/2: Ising model of two spins in tilted fields

Chang Cheng, Wen Xin Ding

Author Affiliations +

Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 127840X (2023) https://doi.org/10.1117/12.2692892
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

The “noncanonicality” of the underlying operators is the fundamental difficulty in formulating theories for most strong interaction systems such as the t-J model, the Hubbard-type model under the large U limit, and quantum spin etc. But B.S. Shastry proposed Schwinger-Dyson equations of motion to study the t-J model, which can rigorously solve this noncanonicality. In this article, we use the perturbation Schwinger-Dyson equation of motion method to study two spin 1/2 transverse field Ising models perturbed by longitudinal fields, and discuss potential generalizations of the corresponding lattice models.

Citation Download Citation

Chang Cheng and Wen Xin Ding "Perturbative Schwinger-Dyson-equations-of-motion for quantum spins 1/2: Ising model of two spins in tilted fields", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 127840X (23 August 2023); https://doi.org/10.1117/12.2692892

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