Stabilization of Adiabatic Quantum Evolution in a Two-Spin XY Model Using the Fast-forward Method

Fedrik Simanjuntak; Iwan Setiawan; Dedy Hamdani

doi:10.30998/53ncvm07

Authors

Fedrik Simanjuntak Pendidikan Fisika Universitas Bengkulu Author
Prof. Dr. Iwan Setiawan, S.Si., M.Sc. Author
Dedy Hamdani S.Si., M.Si. Author

DOI:

https://doi.org/10.30998/53ncvm07

Keywords:

XY model, two spins, fast-forward, Adiabatic dynamics

Abstract

Quantum adiabatic evolution enables a system to follow its target instantaneous eigenstate under slowly varying Hamiltonian parameters, but such a requirement generally demands an excessively long evolution duration. This study aims to accelerate the evolution of an adiabatic system using the fast-forward method, without disturbing the system's initial state trajectory. The system is built from the Hamiltonian model XY and time-dependent parameters, which then determine the regularization term used to maintain the adiabatic trajectory state during the acceleration process. This research methodology is a theoretical study involving mathematical analysis and numerical simulations related to fast-forward and adiabatic dynamics. The research analysis was carried out using a theoretical approach and solving the Time Dependent Schrödinger Equation (TDSE) analytical and numerical calculations assisted by the python program. Simulation results show that the accelerated wave function evolution follows the initial state even though the evolution time is shortened and the velocity parameter is enlarged. In addition, the addition of a fast-forward Hamiltonian has been shown to be able to maintain the stability of the quantum state and suppress non-adiabatic transitions

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Author Biographies

Prof. Dr. Iwan Setiawan, S.Si., M.Sc.

Prof. Dr. Iwan Setiawan, S.Si., M.Sc. adalah seorang Profesor Fisika Kuantum dan anggota staf pengajar di Program Studi Pendidikan Fisika, Universitas Bengkulu, Indonesia. Saat ini, menjabat sebagai Wakil Dekan Bidang Akademik di Fakultas Keguruan dan Pendidikan, Universitas Bengkulu. Bidang minat penelitiannya meliputi dinamika kuantum, pengendalian kuantum, adiabatik kuantum, sistem spin, dan keterikatan kuantum.
Dedy Hamdani S.Si., M.Si.

Dedy Hamdani S.Si., M.Si. adalah dosen di Program Studi Pendidikan Fisika Universitas Bengkulu. Keahlian akademisnya meliputi fisika, elektronika, matematika, dan pendidikan fisika. Kegiatan pengajaran dan penelitiannya berfokus pada pengembangan metode pembelajaran fisika yang inovatif, penggunaan mikrokontroler Arduino dalam pembuatan alat bantu pengajaran, serta pengembangan dan validasi instrumen penelitian. Ia secara aktif berkontribusi dalam berbagai proyek penelitian dan publikasi ilmiah di bidang pendidikan fisika dan teknologi.

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