Transitionless quantum driving of the Tomonaga-Luttinger liquid

Adiabaticity; Auxiliary control; Closed-form expression; Control fields; Its efficiencies; Many-body state; Quantum oscillators; Time dependent; Tomonaga Luttinger liquid; Electronic, Optical and Magnetic Materials; Condensed Matter Physics; Quantum Physics; cond-mat.quant-gas; Physics - Strongly Correlated Electrons

Abstract :

[en] 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 counterdiabatic 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.

Disciplines :

Physics

Author, co-author :

DUPAYS, Léonce ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Adolfo DEL CAMPO ECHEVARRIA

DEL CAMPO ECHEVARRIA, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

External co-authors :

yes

Language :

English

Title :

Transitionless quantum driving of the Tomonaga-Luttinger liquid

Publication date :

March 2025

Journal title :

Physical Review. B

ISSN :

2469-9950

eISSN :

2469-9969

Publisher :

American Physical Society

Volume :

111

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevB.111.L100303

Funders :

Fonds National de la Recherche Luxembourg
Horizon 2020

Funding text :

Acknowledgments. We are indebted to Bal\u00E1z D\u00F3ra and Per Moosavi for insightful comments. We would like to thank Masahito Ueda, Federico Balducci, I\u00F1igo L. Egusquiza, Apollonas S. Matsoukas Roubeas, Armin Rahmani, and Jing Yang for the interesting discussions. This project was supported by the Luxembourg National Research Fund (FNR Grant No. 501100001866-16434093). It has received funding from the QuantERA II Joint Programme with co-funding from the European Union's Horizon 2020 research and innovation programme.

Commentary :

14p , 1 figure

Available on ORBilu :

since 20 May 2025

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See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.111.L100303 for (1) The derivation of the Tomonaga-Luttinger model, (2) the theory of invariants of motion, (3) counterdiabatic control for the quantum oscillator with driven mass and frequency, (4) mean energy under counterdiabatic driving, (5) implementation of the counterdiabatic driving term, (6) spectrum through the Bogoliubov transformation, (7) stability criteria for the Tomonaga-Luttinger Liquid, (8) counterdiabatic term for the long-range interaction quench of Lorentz form, (9) implementation of the counterdiabatic term with gauge fields.
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