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arXiv · 2404.19013

Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid

Léonce Dupays·Adolfo del Campo
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Abstract

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.

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Léonce Dupays, Adolfo del Campo. 2024-04-29. Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid. https://doi.org/10.1103/physrevb.111.l100303

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