Shortcuts to adiabaticity (STA) make the fast preparation of many-body states possible, circumventing the limitations of adiabatic strategies. We propose a fast STA protocol for generating interacting states in the Tomonaga-Luttinger liquid by counter-diabatic driving, stirring the dynamics with an auxiliary control field. To this end, we exploit the equivalence between the time-dependent Tomonaga-Luttinger liquid and an ensemble of quantum oscillators with driven mass and frequency. We specify the closed-form expression of the counterdiabatic control and demonstrate its efficiency in suppressing excitations.
@article{arxiv.2404.19013,
title = {Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid},
author = {Léonce Dupays and Adolfo del Campo},
journal= {arXiv preprint arXiv:2404.19013},
year = {2025}
}