arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1808.09259cond-mat.quant-gasquant-ph
收藏

晶格中杂质与玻色气体耦合的态工程

State engineering of impurities in a lattice by coupling to a Bose gas

Kevin Keiler, Peter Schmelcher

摘要:

我们研究了相互作用杂质的局域化模式,这些杂质被困在晶格势中并耦合到玻色气体。对于小的种间相互作用强度,杂质填充能量最低的布洛赫状态或本地化分别在不同的井与一个额外的粒子离域在所有的井,这取决于晶格深度。相比之下,对于大的种间相互作用强度,我们发现,由于分数填充的晶格和杂质之间的排斥性接触相互作用和玻色气体介导的吸引性相互作用的竞争,杂质本地化成对或完全在一个单一的井。相应地调整晶格深度、种间和种内相互作用强度允许对两种定位模式进行系统控制和工程化。两种状态之间的交叉的尖锐性以及它们存在的广泛区域支持工程的鲁棒性。此外,我们能够通过实施不同的边界条件,如周期性和硬壁边界条件,以三重态,二重态和单重态的形式操纵基态的简并。

英文摘要:

We investigate the localization pattern of interacting impurities, which are trapped in a lattice potential and couple to a Bose gas. For small interspecies interaction strengths, the impurities populate the energetically lowest Bloch state or localize separately in different wells with one extra particle being delocalized over all the wells, depending on the lattice depth. In contrast, for large interspecies interaction strengths we find that due to the fractional filling of the lattice and the competition of the repulsive contact interaction between the impurities and the attractive interaction mediated by the Bose gas, the impurities localize either pairwise or completely in a single well. Tuning the lattice depth, the interspecies and intraspecies interaction strength correspondingly allows for a systematic control and engineering of the two localization patterns. The sharpness of the crossover between the two states as well as the broad region of their existence supports the robustness of the engineering. Moreover, we are able to manipulate the ground state's degeneracy in form of triplets, doublets and singlets by implementing different boundary conditions, such as periodic and hard wall boundary conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑