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

• Published in: arXiv.org
• Main Authors: Setiawan, Iwan, Riska Ekawita, Ryan Sugihakim, Gunara, Bobby Eka
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 22.01.2023
• Subjects: Adiabatic flow; Dynamics; Kagome lattice; Physics - Quantum Physics; Quantum theory; Scaling factors; Spin dynamics
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2301.09039

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.