Quantum Perfect State Transfer in a 2D Lattice
Quantum Perfect State Transfer in a 2D Lattice
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二维晶格中的量子完美状态转移
DOI：
10.1007/s10440-014-9953-5
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发表时间：
2015
影响因子：
1.6
通讯作者：
S. Post
中科院分区：
文献类型：
--
作者：
S. Post
提出了一种基于双变量克劳丘克多项式的有限振子模型，并讨论了该模型在自旋动力学中的应用。该模型是在三角形晶格上定义的。研究了系统存在完全状态转移的条件，在此条件下，激励谱被隔离在域的边界上。给出了模型参数的必要界和哈密顿函数频率比值的充分条件。我们还研究了激励在某一点被孤立的较强的情况，并证明它只存在于简并情况中。然后，我们关注具有有理频率的系统，即超可积情况及其完美状态转移性质。我们看到这些系统插入在两个一维自旋链之间。通过使用模型中的一个参数作为控制参数，我们表明可以以完美的保真度在三角形的两个顶点中的任何一个处引导激励谱被隔离。
A finite oscillator model based on two-variable Krawtchouk polynomials is presented and its application to spin dynamics is discussed. The model is defined on a triangular lattice. The conditions that the system admit a form of perfect state transfer where the excitation spectrum is isolated to the boundary of the domain is investigated. We give the necessary bounds on the parameters of the model and a sufficient condition on the ratios of the frequencies of the Hamiltonian. The stronger case where the excitation is isolated at a point is also investigated and shown to exist only in degenerate cases. We then focus on systems with rational frequencies, namely the superintegrable cases and their perfect state transfer properties. We see that these systems interpolate between two, one-dimensional spin chains. By using a parameter in the model as a control parameter, we show that it is possible to steer the excitation spectrum to be isolated at either of the two vertices of the triangle with perfect fidelity.
两个变量 Krawtchouk 多项式和量子状态转移
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
H.Miki;S.Tsujimoto;三木啓司;三木啓司;Hiroshi Miki;三木啓司;三木啓司;Hiroshi Miki
通讯作者：
Hiroshi Miki