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arXiv · 2301.09039

Fast-forward adiabatic quantum dynamics of XY spin model on three spin system

Iwan Setiawan·Riska Ekawita·Ryan Sugihakim·Bobby Eka Gunara
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Abstract

We discussed a method to accelerate an adiabatic quantum dynamics of XY spin model by using the fast-forward method proposed by Masuda and Nakamura. The Accelerated scheme is constructed by adding the driving Hamiltonian to the original Hamiltonian and speeding it up with a large time-scaling factor and an adiabatic parameter that realizes adiabatic quantum dynamics in a shortened time. Accelerated adiabatic dynamics start by assuming the candidate of driving Hamiltonian consists of the pair-wise exchange interaction and magnetic field. The driving Hamiltonian terms multiplied by the velocity function together with the original Hamiltonian give fast-forward driving for adiabatic states. We apply our method to XY spin model by considering three spin systems on the Kagome lattice. In this model, we obtained the XY pair-wise exchange interaction of nearest neighbors and next-nearest neighbors should be added to the original Hamiltonian as a driving interaction to accelerate the adiabatic motion. This pair-wise driving interaction in the fast-forward scheme guarantees the complete fidelity of accelerated states.

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Iwan Setiawan, Riska Ekawita, Ryan Sugihakim, Bobby Eka Gunara. 2023-01-22. Fast-forward adiabatic quantum dynamics of XY spin model on three spin system. https://doi.org/10.1088/1402-4896%2Facb2fe

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