论文标题

2D Pauli晶体的统计机械解释

Statistical Mechanical Interpretation of 2D Pauli Crystals

论文作者

Mitra, Swarnava, Mishra, Aditya

论文摘要

当费米子在非常低的温度下捕获2D谐波振荡器陷阱的基础状态时,就会观察到Pauli排除原理的表现。这种非相互作用的费米子导致保利晶体的形成。这项工作引入了对原理的统计机械解释,该原理通过计算超冷费物的非相互作用排列的能量,半径和其他参数,从而导致了Pauli晶体的观察。该模型从两个不同的方向解决了问题,即费米昂退化和谐波振荡器处理。统一两种不同的方法对保利晶体的各种参数提供了更全面,更强大的描述。

A manifestation of the Pauli Exclusion Principle is observed when fermions are trapped in the ground state of a 2D harmonic oscillator trap at very low temperatures. This non-interaction of fermions results in the formation of Pauli crystals. This work introduces a statistical mechanical interpretation of the principles that led to the observation of Pauli crystals by calculating the energy, radius and other parameters of the non-interacting arrangement of ultra-cold fermions. This model approaches the problem from two different directions, namely fermion degeneracy and harmonic oscillator treatment. Unifying the two different approaches gives a more comprehensive and robust description of the various parameters of Pauli crystals.

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