Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
- URL: http://arxiv.org/abs/2404.19013v1
- Date: Mon, 29 Apr 2024 18:00:19 GMT
- Title: Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
- Authors: LĂ©once Dupays, Adolfo del Campo,
- Abstract summary: We propose a fast STA protocol for generating interacting states in the Tomonaga-Luttinger liquid by counter-diabatic driving.
We specify the closed-form expression of the counterdiabatic control and demonstrate its efficiency in suppressing excitations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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