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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Five is More: Comments on Symmetry, Integrability, and Solvability for a Few Particles in a One-Dimensional Trap

arXiv
Authors: N. L. Harshman

Year

2015

Paper ID

27506

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

This contributed conference proceeding reviews some results about a system of a few identical particles with spin trapped in one-dimensional potentials and experiencing two-body interactions. The focus is on how symmetry, integrability, and solvability depend on the trap shape, two-body interaction, the number of particles, and the number of spin components. A series of comments are presented that characterize the minimal symmetries possible for a composite system constructed from interacting single particles, with special focus on the contact interaction. For five and more particles with internal components like spin, a kind of universality called algebraically solvability is lost.

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  • This contributed conference proceeding reviews some results about a system of a few identical particles with spin trapped in one-dimensional potentials and experiencing...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1509.00286 [2] arXiv https://arxiv.org/abs/1509.00286 [3] Publisher https://arxiv.org/abs/1509.00286

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