Visualizing the dispersions of Fermi polaron and molecule via spin-orbit coupling

TL;DR

This paper introduces a method to visualize Fermi polaron and molecule dispersions using engineered spin-orbit coupling, revealing fundamental differences and transition characteristics in impurity systems.

Contribution

It proposes a novel experimental scheme to measure dispersions of Fermi polarons and molecules via spin-orbit coupling, highlighting their momentum differences and transition behavior.

Findings

Polaron dispersion can be measured through impurity spin response.

Molecules can be prepared via adiabatic evolution with SOC.

The scheme reveals a momentum difference between polarons and molecules.

Abstract

We propose to measure the dispersions of Fermi polaron and molecule by engineering spin-orbit coupling (SOC) on the impurity, which induces spin flip with finite momentum transfer. The polaron dispersion can be probed at small SOC momentum from the linear response of impurity spin. For molecule, we show that it can be prepared through an adiabatic steady-state evolution when setting SOC momentum as the Fermi momentum of majority bath. By gradually reducing SOC strength to zero, the steady state smoothly evolves to a molecular state with directional symmetry breaking. The corresponding dispersion can then be probed experimentally through the center-of-mass momentum distribution of molecules at finite density. Our scheme reveals a fundamental momentum difference between Fermi polaron and molecule, thereby offering a clear physical picture for their first-order transition in single-impurity system.