Pauli crystals -- interplay of symmetries

• URL: http://arxiv.org/abs/2009.04840v2
• Date: Mon, 16 Nov 2020 13:32:15 GMT
• Title: Pauli crystals -- interplay of symmetries
• Authors: Mariusz Gajda, Jan Mostowski, Maciej Pylak, Tomasz Sowi\'nski, Magdalena Za{\l}uska-Kotur
• Abstract summary: Pauli crystals are structures formed by trapped ultracold atoms with the Fermi statistics. This paper Numericalmodeling is used to find the Pauli crystals in a two-dimensional isotropic harmonic trap, three-dimensional harmonic trap, and a two-dimensional square well trap.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently observed Pauli crystals are structures formed by trapped ultracold atoms with the Fermi statistics. Interactions between these atoms are switched off, so their relative positions are determined by joined action of the trapping potential and the Pauli exclusion principle. Numericalmodeling is used in this paper to find the Pauli crystals in a two-dimensional isotropic harmonic trap, three-dimensional harmonic trap, and a two-dimensional square well trap. The Pauli crystals do not have the symmetry of the trap -- the symmetry is broken by the measurement of positions and, in many cases, by the quantum state of atoms in the trap. Furthermore, the Pauli crystals are compared with the Coulomb crystals formed by electrically charged trapped particles. The~structure of the Pauli crystals differs from that of the Coulomb crystals, this provides evidence that the exclusion principle cannot be replaced by a two-body repulsive interaction but rather has to be considered to be a specifically quantum mechanism leading to many-particle correlations.

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