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arXiv 2408.07570cond-mat.quant-gas
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二维相互作用玻色子多体激发态中的涡旋

Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension

Mateusz Ślusarczyk, Krzysztof Pawłowski

AI总结:

本研究受孤子与转晕态关联研究启发,探究二维圆盘囚禁相互作用玻色子N体系统本征态中的涡旋涌现,发现连续粒子位置测量得到的态与平均场涡旋特性相似,同时揭示了涡旋中心量子涨落导致展宽等纯多体特征,并用玻戈留波夫方法验证了相关分析。

摘要:

量子涡旋在二维量子多体系统物理中发挥着重要作用,不过它们通常是在平均场方法这类单粒子框架下被理解的。受孤子与yrast态(转晕态)关联研究的启发,我们在此研究了囚禁于圆盘势中的相互作用粒子N体哈密顿量本征态中涡旋的涌现现象。我们分析了通过连续测量粒子位置得到的态,这些态的密度、相位和能量与平均场涡旋高度相似。我们讨论了二者的相似性,同时也指出了纯多体特征,比如涡旋中心的量子涨落导致的涡旋展宽。该多体系统的从头算分析与平均场方法均得到了Bogoliubov(玻戈留波夫)方法框架下分析的支持。

英文摘要:

Quantum vortices play an important role in the physics of two-dimensional quantum many-body systems, though they usually are understood in the single-particle framework like the mean-field approach. Inspired by the study on the relations between solitons and yrast states, we investigate here the emergence of vortices from the eigenstates of a N -body Hamiltonian of interacting particles trapped in a disk. We analyse states that appear by consecutively measuring the positions of particles. These states have densities, phases, and energies closely resembling mean-field vortices. We discuss similarities, but also point out purely many-body features, such as vortex smearing due to the quantum fluctuation of their center. The ab initio analysis of the many-body system, and mean-field approaches are supported by the analysis within the Bogoliubov approach.

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。

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