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首页> 外文期刊>International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics >Quantum State Transfer in Atom-Cavity Systems with Uncolored Cayley Interacting Networks
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Quantum State Transfer in Atom-Cavity Systems with Uncolored Cayley Interacting Networks

机译：具有无色Cayley相互作用网络的原子腔系统中的量子态转移

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摘要

Considering the two-photon exchange interaction between n coupled cavities each of them containing a two level atom, the atomic and photonic state transfer is investigated. In fact, n atom-cavity systems are considered to be distributed on the nodes of an uncolored Cayley network and interact with each other via the adjacency matrix of the corresponding network. Then, by employing the photon-excitation conservation and also the algebraic structure of the networks, such as irreducible characters of the groups associated with the networks, some suitable basis for the atom-cavity state space is introduced based on the corresponding generalized Fourier transform, so that the Hamiltonian of the whole system, is block diagonalized with two-dimensional blocks. Then, by solving the corresponding Schrodinger equation exactly, quantum state transfer and also entanglement generation between the atoms or the photons are discussed. For instance, the probability amplitudes associated with the photon transition between the cavities or excitation transition between the atoms are obtained in terms of the irreducibles characters of the corresponding network and the hopping parameter xi between the cavities.
机译：考虑到n个耦合腔中每个都包含一个两能级原子的双光子交换相互作用，研究了原子和光子状态转移。实际上，n个原子腔系统被认为是分布在一个无色Cayley网络的节点上，并且通过相应网络的邻接矩阵相互交互。然后，通过利用光子激发守恒以及网络的代数结构（例如与网络相关的组的不可约性），基于相应的广义傅立叶变换为原子腔状态空间引入一些合适的基础，这样整个系统的哈密顿量就被二维块对角化了。然后，通过精确求解相应的薛定inger方程，讨论了量子态转移以及原子或光子之间的纠缠生成。例如，根据相应网络的不可约性和腔之间的跳跃参数xi，获得与腔之间的光子跃迁或原子​​之间的激发跃迁相关的概率振幅。

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