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arXiv 1411.7166cond-mat.str-elcond-mat.mes-hallcond-mat.quant-gasquant-ph
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自旋玻色子驱动的Luttinger液体

Driven Spin-Boson Luttinger Liquids

Andreas Kurcz, Juan Jose Garcia-Ripoll, Alejandro Bermudez

摘要:

我们引入一个晶格模型的相互作用的自旋和玻色子,导致Luttinger液体物理,并允许通过捕获离子或超导电路实验的玻色子化理论的定量测试。利用变分玻色化方法,计算了自旋和玻色关联函数的幂律衰减,并研究了它们对一个可调参数(玻色驱动)的依赖性。对于小驱动,矩阵乘积状态(MPS)的数值方法被证明是有效的,并验证了我们的分析。相反,即使是静态MPS对于大驱动机制也变得低效,使得实验可能优于经典数值,实现量子模拟的目标之一。

英文摘要:

We introduce a lattice model of interacting spins and bosons that leads to Luttinger-liquid physics, and allows for quantitative tests of the theory of bosonization by means of trapped-ion or superconducting-circuit experiments. By using a variational bosonization ansatz, we calculate the power-law decay of spin and boson correlation functions, and study their dependence on a single tunable parameter, namely a bosonic driving. For small drivings, Matrix-Product-States (MPS) numerical methods are shown to be efficient and validate our ansatz. Conversely, even static MPS become inefficient for large-driving regimes, such that the experiment can potentially outperform classical numerics, achieving one of the goals of quantum simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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