TL;DR
This paper explores how particle entanglement reveals localization, vortex behavior, and phase transitions in rotating Bose and Fermi gases, linking entanglement properties to quantum Hall states and interaction effects.
Contribution
It introduces the use of particle entanglement as a tool to analyze localization, vortex formation, and phase transitions in rotating quantum gases, including a trial wave function relating to quantum Hall states.
Findings
Particle entanglement indicates particle and vortex localization.
Particle entanglement reveals edge reconstruction in rotating fermions.
Vortex liquid phase properties are characterized by entanglement and linked to quantum Hall states.
Abstract
In this paper, we investigate the particle entanglement in 2D weakly-interacting rotating Bose and Fermi gases. We find that both particle localization and vortex localization can be indicated by particle entanglement. We also use particle entanglement to show the occurrence of edge reconstruction of rotating fermions. The different properties of condensate phase and vortex liquid phase of bosons can be reflected by particle entanglement and in vortex liquid phase we construct a trial wave function in the viewpoint of entanglement to relate the ground state with quantum Hall state. Finally, the relation between particle entanglement and interaction strength is studied.
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