Quantum electronic circuit simulation of generalized sine-Gordon models
Quantum electronic circuit simulation of generalized sine-Gordon models
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广义正弦戈登模型的量子电子电路模拟
DOI：
10.1103/physrevb.100.155425
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发表时间：
2019
影响因子：
3.7
通讯作者：
H. Saleur
中科院分区：
文献类型：
--
作者：
A. Roy;H. Saleur
强相互作用非线性量子场论（QFT-s）的研究仍然是现代物理学的突出挑战之一。在这里，我们描述了使用介观超导电路晶格的非线性qft的模拟量子模拟器。利用约瑟夫逊效应作为非线性相互作用的来源，我们研究了量子正弦-戈登模型的推广。特别地，我们考虑一个双域推广，双正弦-戈登模型。与sin - gordon模型相反，这个模型可以是纯量子可积的，当它不允许半经典描述时——这是许多多场qft的一般性质。这项工作的主要目标是研究双正弦-戈登模型的不同热力学性质，并提出可以捕捉其微妙量子可积性的实验。首先，我们利用Bethe ansatz和共形摄动理论解析地计算了在外磁场存在下的质谱和基态能量。其次，我们计算了模型的热力学Bethe ansatz方程，并分析了模型的有限温度特性。第三，我们提出实验来验证理论预测。
Investigation of strongly interacting, nonlinear quantum field theories (QFT-s) remains one of the outstanding challenges of modern physics. Here, we describe analog quantum simulators for nonlinear QFT-s using mesoscopic superconducting circuit lattices. Using the Josephson effect as the source of nonlinear interaction, we investigate generalizations of the quantum sine-Gordon model. In particular, we consider a two-field generalization, the double sine-Gordon model. In contrast to the sine-Gordon model, this model can be purely quantum integrable, when it does not admit a semi-classical description - a property that is generic to many multi-field QFT-s. The primary goal of this work is to investigate different thermodynamic properties of the double sine-Gordon model and propose experiments that can capture its subtle quantum integrability. First, we analytically compute the mass-spectrum and the ground state energy in the presence of an external `magnetic' field using Bethe ansatz and conformal perturbation theory. Second, we calculate the thermodynamic Bethe ansatz equations for the model and analyze its finite temperature properties. Third, we propose experiments to verify the theoretical predictions.
影响因子：
8.6
作者：
Cirac, J. Ignacio;Maraner, Paolo;Pachos, Jiannis K.
通讯作者：
Pachos, Jiannis K.