Optomechanically-Based Probing of Spin-Charge Separation in Ultracold Gases

TL;DR

This paper introduces an optomechanical approach to detect spin-charge separation in 1D quantum gases using atom-cavity systems, enabling explicit probing and mode addressing.

Contribution

It presents a novel optomechanical model where spin and charge modes act as mechanical resonators for probing in 1D quantum liquids.

Findings

Effective two-mode optomechanical model for spin-charge modes.

Explicit detection of spin-charge separation via cavity transmission.

Ability to address spin and charge modes separately.

Abstract

We propose a new approach to investigate the spin-charge separation in 1D quantum liquids via the optomechanical coupled atom-cavity system. We show that, one can realize an effective two-modes optomechanical model with the spin/charge modes playing the role of mechanical resonators. By tuning the weak probe laser under a pump field, the signal of spin-charge separation could be probed explicitly in the sideband regime via cavity transmissions. Moreover, the spin/charge modes can be addressed separately by designing the probe field configurations, which may be beneficial for future studies of the atom-cavity systems and quantum many-body physics.