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Quantum signatures of charge flipping vortices in the Bose-Hubbard trimer

机译:Bose-Hubbard三聚体中电荷翻转涡旋的量子特征

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In this work we study quantum signatures of charge flipping vortices, found in the classical discrete nonlinear Schrodinger trimer, by use of the Bose-Hubbard model. We are able to identify such signatures in the quantum energy eigenstates, for instance when comparing the site amplitudes of the classical charge flipping vortices with the probability distribution over different particle configurations. It is also discussed how to construct quantum states that correspond to the classical charge flipping vortices and which effects can lead to deviations between the classical and quantum dynamics. We also examine properties of certain coherent states: classical-like quantum states that can be used to derive the classical model. Several quantum signatures are identified when studying the dynamics of these coherent states, for example, when comparing the average number of particles on a site with the classical site amplitude, when comparing the quantum and classical currents and topological charge, and when studying the evolution of the quantum probability amplitudes. The flipping of the quantum currents are found to be an especially robust feature of these states.
机译:在这项工作中,我们使用Bose-Hubbard模型研究了在经典离散非线性Schrodinger三聚物中发现的电荷翻转涡旋的量子特征。例如,当我们比较经典电荷翻转涡旋的位点振幅与不同粒子构型​​上的概率分布时,我们就能在量子能本征态中识别出这种特征。还讨论了如何构造与经典电荷翻转涡旋相对应的量子态,以及哪些效应会导致经典动力学和量子动力学之间出现偏差。我们还研究了某些相干态的性质:可以用于导出经典模型的类经典量子态。在研究这些相干态的动力学时,例如,将某位置上粒子的平均数量与经典位点振幅进行比较,比较量子和经典电流以及拓扑电荷以及研究原子的演化时,会识别出几个量子特征。量子概率振幅。量子电流的翻转被发现是这些状态的特别强大的特征。

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