Quantum Information Approach to Rotating Bose-Einstein Condensate

TL;DR

This paper applies quantum information theory to analyze a rotating Bose-Einstein condensate, identifying quantum phase transition indicators and entanglement properties related to vortex formation and fractional quantum Hall states.

Contribution

It introduces quantum information tools to study phase transitions and entanglement in rotating Bose-Einstein condensates, including critical exponents and entanglement as indicators.

Findings

Critical exponents of fidelity susceptibility and correlation length are obtained.

Single-particle entanglement indicates angular momentum states.

Entanglement properties of Laughlin and Pfaffian states are analyzed.

Abstract

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are obtained for the quantum phase transition when the frst vortex is formed. We also find the single-particle entanglement can be an indicator of the angular momentums for some real ground states. The single-particle entanglement of fractional quantum Hall states such as Laughlin state and Pfaffian state is also studied.