Exact dynamics of the Tomonaga-Luttinger liquid and shortcuts to adiabaticity

Adiabaticity; Dynamical symmetry; Many-body quantum systems; Non-adiabatic; Quantum technologies; Residual energy; Semiclassical limit; Sine Gordon model; Symmetry groups; Tomonaga Luttinger liquid; Electronic, Optical and Magnetic Materials; Condensed Matter Physics

Abstract :

[en] Controlling many-body quantum systems is a highly challenging task required to advance quantum technologies. Here, we report progress in controlling gapless many-body quantum systems described by the Tomonaga-Luttinger liquid (TLL). To do so, we investigate the exact dynamics of the TLL induced by an arbitrary interaction quench, making use of the SU(1,1) dynamical symmetry group and the Schrödinger picture. First, we demonstrate that this approach is useful to perform a shortcut to adiabaticity, which cancels the final nonadiabatic residual energy of the driven TLL and is experimentally implementable in the semiclassical limit of the sine-Gordon model. Second, we apply this framework to analyze various driving schemes in finite time, including linear ramps and smooth protocols.

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

Dóra, Balázs; Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, Budapest, Hungary

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 :

Exact dynamics of the Tomonaga-Luttinger liquid and shortcuts to adiabaticity

Publication date :

15 October 2024

Journal title :

Physical Review. B

ISSN :

2469-9950

eISSN :

2469-9969

Publisher :

American Physical Society

Volume :

110

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevB.110.155104

Funders :

Fonds National de la Recherche Luxembourg
Horizon 2020
Ministerul Cercetării, Inovării şi Digitalizării
Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Funding text :

The authors are indebted to Per Moosavi for his thorough comments on the manuscript. We would also like to thank Apollonas S. Matsoukas Roubeas, Jingjun Zhu, Federico Balducci, Thomas Schmidt, and Jing Yang for insightful 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 cofunding from the European Union's Horizon 2020 research and innovation programme. This research was further supported by the Ministry of Culture and Innovation and the National Research, Development, and Innovation Office within the Quantum Information National Laboratory of Hungary (Grant No. 2022-2.1.1-NL-2022-00004) K134437, K142179, and by a grant of the Ministry of Research, Innovation and Digitization, CNCS/CCCDI-UEFISCDI, under Project No. PN-III-P4-ID-PCE-2020-0277.

Commentary :

14+11 pages, 10 figures

Available on ORBilu :

since 20 May 2025

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