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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >The Loschmidt-echo dynamics in a quantum chaos model
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The Loschmidt-echo dynamics in a quantum chaos model

机译：Quantum混沌模型中的Loschmidt-echo动态

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We have considered the spin-1/2 XXZ chain model which is exactly solvable with the Bethe anzats method. It is shown adding a single defect away from edges is sufficient to see a chaos signature in the model. In this work, we have studied the time behavior of the Loschmidt-echo (LE) by considering domain-wall and Neel states as two product initial states and also a Bell state as an entangled initial state. We have used the numerical full diagonalization method to have full spectrum of the model. It is shown that very short times behavior of the LE is independent from defect and initial state, and the decay is quadratic. Moreover, results show that in the chaotic regime and for intermediate times, the exponential decay behavior of the LE shows some changes by removing defect from the chain in the domain-wall and Bell states, while no changes is seen in the Neel state. To get some intuition of these changes, we have addressed the relation between the dynamics of the LE and the local density of states features.
机译：我们已经考虑了Spin-1/2 XXZ链模型，其与贝特anzats方法完全溶解。结果显示了远离边缘的单个缺陷足以在模型中看到混沌签名。在这项工作中，我们通过将Domain-Wall和Neel状态视为两个产品初始状态以及作为纠缠初始状态的钟状态来研究Loschmidt-echo（Le）的时间行为。我们使用了数值全对角化方法来拥有模型的全频谱。结果表明，LE的非常短的行为与缺陷和初始状态无关，衰减是二次的。此外，结果表明，在混沌制度和中间时间中，LE的指数衰减行为通过从域壁和钟状态中除去链中的缺陷而显示一些变化，同时在NEEL状态下没有看到变化。为了获得一些更改的直觉，我们已经解决了LE动态与状态密度之间的关系。

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