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


Penelitian ini merupakan penelitian studi pustaka dengan mengkaji beberapa literatur yang selaras dan menggunakan perhitungan analitik. Penelitian ini bertujuan untuk membandingkan dua metode dalam mempercepat dinamika kuantum adiabatik, yaitu metode fast forward dan Shortcuts to Adiabaticity (STA), yang memiliki relevansi signifikan dalam pengembangan teknologi kuantum, khususnya dalam aplikasi teknik pencitraan seperti NMR dan MRI. Penelitian ini meninjau bagaimana kedua metode dapat mempercepat dinamika kuantum sistem spin dengan parameterisasi medan magnet Larmor frequency tanpa mengubah karakteristik sistem tersebut. Metodologi yang digunakan adalah studi literatur lalu melakukan perhitungan analitik untuk mencari suku regularisasi dan Hamiltonian tambahan. Medan magnet dari Larmor frequency digunakan untuk mencari Hamiltonian awal lalu analisis solusi fungsi gelombang dan Hamiltonian tambahan. Hasil yang didapatkan yakni perbandingan suku regularisasi dan suku Hamiltonian tambahan dari kedua metode. Dimana pada metode fast forward didapatkan hasil yang lebih sederhana dan sebaliknya, namun keduanya tetap dapat mempertahankan keadaan adiabatik sistem.


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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