Pauli crystals in harmonic trap and on a sphere

Gampel, Filip; Gajda, Mariusz; Załuska‐Kotur, Magdalena A.; Mostowski, Jan

doi:10.1016/j.physleta.2021.127799

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…This section is based on the work done in Refs. 2,3,[6][7][8][9][10] . PEP states that no two identical fermions can ever occupy the same quantum state simultaneously.…”

Section: Origin and Imaging Of Pauli Crystalsmentioning

confidence: 99%

Statistical Mechanical Interpretation of 2D Pauli Crystals

Mitra¹,

Mishra²

2022

Preprint

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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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“…This section is based on the work done in Refs. 2,3,[6][7][8][9][10] . PEP states that no two identical fermions can ever occupy the same quantum state simultaneously.…”

Section: Origin and Imaging Of Pauli Crystalsmentioning

confidence: 99%

Statistical Mechanical Interpretation of 2D Pauli Crystals

Mitra¹,

Mishra²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The map reflects the symmetry of the Pauli crystal, which in this case is a tetrahedron. An animated, three-dimensional plot is available at [15]. Please note that such a symmetric map was obtained because of suitable choices whenever the global maximum of a conditional density, being degenerate, allowed us to choose.…”

Section: Particles On a Spherementioning

confidence: 99%