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Quantum computation of phase transition in the massive Schwinger model
Quantum Science and Technology ( IF 5.6 ) Pub Date : 2022-04-19 , DOI: 10.1088/2058-9565/ac5f5a
Shane Thompson 1 , George Siopsis 1
Affiliation  

Abstract As pointed out by Coleman, physical quantities in the Schwinger model depend on a parameter θ that determines the background electric field. There is a phase transition for θ = π only. We develop a momentum space formalism on a lattice and use it to perform a quantum computation of the critical point of this phase transition on the NISQ device IMB Q Lima. After error mitigation, our results give strong indication of the existence of a critical point at m/e ≃ 0.32, where m is the bare fermion mass and e is the coupling strength, in good agreement with the classical numerical result m/e ≃ 0.3335.

中文翻译:

大规模 Schwinger 模型中相变的量子计算

摘要 正如 Coleman 所指出的,Schwinger 模型中的物理量取决于决定背景电场的参数 θ。仅 θ = π 存在相变。我们在晶格上开发了一种动量空间形式,并使用它在 NISQ 设备 IMB Q Lima 上执行此相变临界点的量子计算。减少误差后,我们的结果强烈表明在 m/e ≃ 0.32 处存在临界点,其中 m 是裸费米子质量,e 是耦合强度,与经典数值结果 m/e ≃ 0.3335 非常吻合.
更新日期:2022-04-19
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