Fast forward of adiabatic quantum dynamics: an application to planar Dirac systems
https://doi.org/10.17586/2220-8054-2025-16-3-298-305
Abstract
We study a scheme of fast-forward adiabatic quantum dynamics of a (2 + 1) Dirac particle. This scheme was originally proposed by Masuda and Nakamura. In this scheme, we include the adiabatic parameter that maintains the adiabatic motion of the particle and fast forward its motion by introducing a time scaling parameter. The fast forward adiabatic state is obtained by determining the regularization term and driving potential. We introduce the proposed method to the system with the Dirac particle using a (2 + 1) dimensiontime- dependent Dirac equation and obtain the regularization term, the driving scalar potential VFF and the driving vector potential AFF . By tuning the driving electric field, this method can accelerate the adiabatic dynamics of an electron as a Dirac particle trapped in the ground state in the plane xy and an electric field in the x direction and a constant magnetic field in the y direction. This acceleration will preserve the ground state of the wave function from the initial time to the final time.
Supporting agencies: I.S. thanks Prof. Katsuhiro Nakamura for a valuable discussion. I.S thanks Hibah Kolaborasi Internasional Universitas Bengkulu 2024 and Hibah Fundamental DRTPM Kemdikbudristek 2024. I.S and B.E.G. acknowledge the World Class Professor Program (WCP) from Kemdikbudristek 2023 for financial support.
About the Authors
I. Setiawan
Physics Education Department, University of Bengkulu
Indonesia
Indonesia
Iwan Setiawan - Physics Education Department
Kandang Limun, Bengkulu 38371
R. Ekawita
Physics Department, University of Bengkulu
Indonesia
Indonesia
Riska Ekawita - Physics Department
Kandang Limun, Bengkulu 38371
R. Sugihakim
Institut Teknologi Bandung
Indonesia
Indonesia
Ryan Sugihakim - Theoretical High Energy Physics
Jalan Ganesha 10, Bandung 40132
B. E. Gunara
Institut Teknologi Bandung
Indonesia
Indonesia
Bobby Eka Gunara - Theoretical High Energy Physics
Jalan Ganesha 10, Bandung 40132
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Review
For citations:
Setiawan I., Ekawita R., Sugihakim R., Gunara B.E. Fast forward of adiabatic quantum dynamics: an application to planar Dirac systems. Nanosystems: Physics, Chemistry, Mathematics. 2025;16(3):298-305. https://doi.org/10.17586/2220-8054-2025-16-3-298-305
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