Statistical Mechanical Interpretation of 2D Pauli Crystals

• URL: http://arxiv.org/abs/2203.07053v1
• Date: Mon, 14 Mar 2022 12:49:19 GMT
• Title: Statistical Mechanical Interpretation of 2D Pauli Crystals
• Authors: Swarnava Mitra, Aditya Mishra
• Abstract summary: This work introduces a statistical mechanical interpretation of the principles that led to the observation of Pauli crystals. It calculates the energy, radius and other parameters of the non-interacting arrangement of ultra-cold fermions. Unifying the two different approaches gives a more comprehensive and robust description of the various parameters of Pauli crystals.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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