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Open Quantum Systems Decoherence

Complexity of the Laughlin wave function from the Dyson-orbital perspective

arXiv

Authors: J. M. Zhang, Y. Liu

Year

2026

Paper ID

67823

Status

Preprint

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~2 min

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Abstract

The Fermi sea is a simple and common concept in physics. However, a related and equally simple concept - the Dyson orbital - is far less discussed in physics, especially in textbooks. Yet, Dyson orbitals offer a valuable tool for characterizing the complexity of a fermionic wave functions, particularly in distinguishing between Fermi-sea-like and non-Fermi-sea-like states. As a preliminary application, we examine the Laughlin wave function and find the fortunate fact that the Dyson orbitals can be determined analytically. Further numerical data provides quantitative evidence that the Laughlin wave function describes a strongly correlated, non-Fermi liquid state.

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The Fermi sea is a simple and common concept in physics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.05502 [2] arXiv https://arxiv.org/abs/2606.05502 [3] Publisher https://arxiv.org/abs/2606.05502

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