Slow approach to adiabaticity in many-body non-Hermitian systems: The Hatano-Nelson model

Adiabatic dynamics; Adiabaticity; Bosonization; Excess energy; Finite-time; Hermitians; Loschmidt echoes; Many body; Quantum many-body systems; Vector potential; Electronic, Optical and Magnetic Materials; Condensed Matter Physics; Quantum Physics; cond-mat.quant-gas; Physics - Strongly Correlated Electrons

Abstract :

[en] We explore the near adiabatic dynamics in a non-Hermitian quantum many-body system by investigating a finite-time ramp of the imaginary vector potential in the interacting Hatano-Nelson model. The excess energy, the Loschmidt echo, and the density imbalance are analyzed using bosonization and exact diagonalization. The energy becomes complex valued, despite the instantaneous Hamiltonian having the same real spectrum throughout. The adiabatic limit is approached very slowly through damped oscillations. The decay scales with τ-1 with τ the ramp duration, while the oscillation period is 2L/v with v the Fermi velocity and L the system length. Yet, without the need for auxiliary controls, a shortcut to adiabaticity is found for ramp times commensurate with the period. Our work highlights the intricate interplay of adiabaticity and non-Hermitian many-body physics.

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)

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

External co-authors :

yes

Language :

English

Title :

Slow approach to adiabaticity in many-body non-Hermitian systems: The Hatano-Nelson model

Publication date :

15 January 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.111.045130

Funders :

Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
Ministerul Cercetării, Inovării şi Digitalizării
Fonds National de la Recherche Luxembourg

Funding text :

This research was supported by the National Research, Development and Innovation Office - NKFIH within the Quantum Technology National Excellence Program (Project No. 2017-1.2.1-NKP-2017-00001), K134437, K142179 by the BME-Nanotechnology FIKP grant (BME FIKP-NAT), 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 and under the project for funding the excellence, Contract No. 29 PFE/30.12.2021. It was further supported by the Luxembourg National Research Fund (FNR), grant Reference No. 17132054.

Commentary :

13 pages, 5 figures

Available on ORBilu :

since 20 May 2025

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See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.111.045130 for the Fourier transform of the bosonized Hamiltonian, an alternative proof of the dynamics of the Hatano-Nelson model, the mean energy in the Hatano-Nelson model for a linear quench, the field expectation values, the Loschmidt echo, the study of nonlinear quenches, the energy expectation values for nonlinear quenches.
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