The energy level crossing behavior and quantum Fisher information in a quantum well with spin-orbit coupling

TL;DR

This paper investigates energy level crossing and quantum Fisher information in a 2D quantum well with spin-orbit couplings, revealing conditions for crossing and analyzing the impact of SOCs on quantum information measures.

Contribution

It introduces a mapping of the SOC Hamiltonian to an anisotropic Rabi model and explores energy crossing and QFI behavior in quantum wells, a novel context for these phenomena.

Findings

Energy level crossing can occur within available parameters in quantum wells.

Spin-orbit couplings significantly influence quantum Fisher information.

An approximate ground state and QFI are obtained via a unitary transformation.

Abstract

We study the energy level crossing behavior in two-dimensional quantum well with the Rashba and Dresselhaus spin-orbit couplings (SOCs). By mapping the SOC Hamiltonian onto an anisotropic Rabi model, we obtain the approximate ground state and its quantum Fisher information (QFI) via performing a unitary transformation. We find that the energy level crossing can occur in the quantum well system within the available parameters rather than in cavity and circuit quantum eletrodynamics systems. Futhermore, the influence of two kinds of SOCs on the QFI is investigated and an intuitive explanation from the viewpoint of the stationary perturbation theory is given.