Hamiltonian Penggerak Sistem Spin Dengan Lamor Frequency Menggunakan Metode Fast Forward & Shortcut to Adiabaticity


DOI: https://doi.org/10.30998/npjpe.v6i2.3406

Klarisa Yulia Sari(1*), Iwan Setiawan(2), Desy Hanisa Putri(3),

(1) Universitas Bengkulu
(2) Universitas Bengkulu
(3) Universitas Bengkulu
(*) Corresponding Author

Abstract


This study looks at a number of sources that are pertinent to the research question and includes analytical computations. This study aims to compare two methods in accelerating adiabatic quantum dynamics, namely the Fast forward method and Shortcuts to Adiabaticity (STA), which have significant relevance in developing quantum technology, especially in applying imaging techniques such as NMR and MRI. The study examined how these two methods can accelerate quantum dynamics without changing the system's characteristics. This study examined a single spin system by involving a magnetic field with a Larmor Frequency referred to as the adiabatic state. The formulation of the problem raised includes determining the regularization term and comparing the additional Hamiltonian methods. The methodology used to obtain the regularization term with the parameterization of the magnetic field based on the frequency of the Larmor, as well as the analysis of the wave function solution and additional Hamiltonian. The results obtained from this study are regularization terms and additional Hamiltonian terms that can shorten the dynamics of the system in an adiabatic way.


Keywords


Dinamika Kuantum; Fast Forward; Shortcuts to Adiabaticity (STA); Larmor Frequency.

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DOI: https://doi.org/10.30998/npjpe.v6i2.3406

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