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

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 \emph{quantitative} evidence that the Laughlin wave function describes a strongly correlated, non-Fermi liquid state.

11 pages, 6 figures. Comments are welcome

References in corpus (9)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Fractional Quantum Hall States and Jack Polynomials
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• The magic nature of 132Sn explored through the single-particle states of 133Sn
• Calculating the distance from an electronic wave function to the manifold of Slater determinants through the geometry of Grassmannians
• Anyonic braiding via quench dynamics in fractional quantum Hall liquids
• Strongdeco: Expansion of analytical, strongly correlated quantum states into a many-body basis
• Geometric entanglement in the Laughlin wave function