A trapped-ion simulator for spin-boson models with structured environments
A trapped-ion simulator for spin-boson models with structured environments
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DOI：
10.1088/1367-2630/aac87d
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发表时间：
2018-07-04
影响因子：
3.3
通讯作者：
Plenio, M. B.
中科院分区：
文献类型：
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作者：
Lemmer, A.;Cormick, C.;Plenio, M. B.
我们提出了一种方法来模拟自旋玻色子模型的动力学与小晶体的被困离子的电子自由度的一个离子被用来编码的自旋，而集体振动自由度被用来形成一个有效的谐波环境。我们的方法的关键思想是，一个单一的阻尼模式可以用来提供一个谐波环境与洛伦兹谱密度。更复杂的谱函数可以通过组合几个单独的阻尼模式来定制。该协议特别适合在结构化环境中模拟自旋玻色子模型。我们建议使用混合物种晶体，这样一个物种用于编码自旋，而另一个物种用于冷却振动自由度以设计环境。自旋耗散的强度可以通过调节自旋和振动自由度之间的耦合来控制。用这种方法，可以只用少量的离子来模拟具有宏观和非马尔可夫环境的自旋玻色子模型。我们通过模拟实验与现实的参数，并通过计算的定量措施表明，动态是真正的非马尔可夫的方法。
We propose a method to simulate the dynamics of spin-boson models with small crystals of trapped ions where the electronic degree of freedom of one ion is used to encode the spin while the collective vibrational degrees of freedom are employed to form an effective harmonic environment. The key idea of our approach is that a single damped mode can be used to provide a harmonic environment with Lorentzian spectral density. More complex spectral functions can be tailored by combining several individually damped modes. The protocol is especially well-suited to simulate spin-boson models with structured environments. We propose to work with mixed-species crystals such that one species serves to encode the spin while the other species is used to cool the vibrational degrees of freedom to engineer the environment. The strength of the dissipation on the spin can be controlled by tuning the coupling between spin and vibrational degrees of freedom. In this way the dynamics of spin-boson models with macroscopic and non-Markovian environments can be simulated using only a few ions. We illustrate the approach by simulating an experiment with realistic parameters and show by computing quantitative measures that the dynamics is genuinely non-Markovian.