POTENTIAL DRIVER FOR ACCELERATING ADIABATIC DYNAMICS IN COMPLEX WAVE FUNCTIONS
DOI:
https://doi.org/10.32699/g4wfrs26Keywords:
Adiabatic, Complex Wave Functions, Fast Forward, Quantum Particle DynamicsAbstract
This research is a theoretical study that investigates the literature reviewing the adiabatic acceleration methods of quantum particle dynamics through the application of the fast forward method. This method was initially developed by Masuda and Nakamura in 2010. In this approach, the acceleration scheme is generated through the modification of the Hamiltonian by including regularization terms in the original Hamiltonian. In this study, the fast forward method is applied to a harmonic oscillator system. The fast forward method is first employed to obtain the adiabatic phase. In the subsequent step, through a review of the system's states, a driving potential is identified that ensures the harmonic oscillator system can transition from the initial state to the final state in a short period of time while preserving the system's energy. This research employs adiabatic parameters that are of a general nature, allowing for the use of freely selectable parameters.
References
Akbar, M. S., Latifah, E., Qomariyah, S. N., Setyo, D. P., Wisodo, H., & Hidayat, A. (2017). Proses Adiabatis dan Isovolume Kuantum Sistem Dua Partikel Simetri. JPSE (Journal of Physical Science and Engineering), 2(2), 55–65. https://doi.org/10.17977/um024v2i22017p055
Babajanova, G., Matrasulov, J., & Nakamura, K. (2018). Quantum Gas in the Fast Forward Scheme of Adiabatically Expanding Cavities: Force and Equation of State. Physical Review E, 97(4), 1–10. https://doi.org/10.1103/PhysRevE.97.042104
Benggadinda, A., & Setiawan, I. (2021). Metoda Fast Forward untuk Mempercepat Dinamika Kuantum Adiabatik pada Spin Tunggal. JST (Jurnal Sains Dan Teknologi), 10(2), 274–280. https://doi.org/10.23887/jstundiksha.v10i2.39876
Berry, M. V. (2009). Transitionless Quantum Driving. Journal of Physics A: Mathematical and Theoretical, 42(36), 365303. https://doi.org/10.1088/1751-8113/42/36/365303
Del Campo, A., & Kim, K. (2019). Focus on Shortcuts to Adiabaticity. New Journal of Physics, 21(5). https://doi.org/10.1088/1367-2630/ab1437
Fitzpatrick, R. (2015). Quantum Mechanics. Wspc. https://doi.org/https://doi.org/10.1142/9645
Goto, H. (2019). Quantum Computation based on Quantum Adiabatic Bifurcations of Kerr-nonlinear Parametric Oscillators. Journal of the Physical Society of Japan, 88(6), 1–12. https://doi.org/10.7566/JPSJ.88.061015
Griffiths, D. J. (2004). Introduction to Quantum Mechanics Solutions Manual Corrections.
Hutagalung, M. (2023). Kajian Literatur Fase Adiabatik untuk Mempercepat Dinamika Kuantum Adiabatik pada Osilator Harmonik. Indonesian Journal of Applied Physics (IJAP) Vol., 13(1), 106–116.
Jarzynski, C., Deffner, S., Patra, A., & Subaşl, Y. (2017). Fast Forward to the Classical Adiabatic Invariant. Physical Review E, 95(3), 1–7. https://doi.org/10.1103/PhysRevE.95.032122
Kandel, Y. P., Qiao, H., Fallahi, S., Gardner, G. C., Manfra, M. J., & Nichol, J. M. (2021). Adiabatic Quantum State Transfer in a Semiconductor Quantum-dot Spin Chain. Nature Communications, 12(1), 1–10. https://doi.org/10.1038/s41467-021-22416-5
Kremenetski, V., Mejuto-Zaera, C., Cotton, S. J., & Tubman, N. M. (2021). Simulation of Adiabatic Quantum Computing for Molecular Ground States. Journal of Chemical Physics, 155(23). https://doi.org/10.1063/5.0060124
Masuda, S., & Nakamura, K. (2008). Fast-forward Problem in Quantum Mechanics. Physical Review A, 78(6). https://doi.org/10.1103/physreva.78.062108
Masuda, S., & Nakamura, K. (2010). Fast-forward of Adiabatic Dynamics in Quantum Mechanics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2116), 1135–1154. https://doi.org/10.1098/rspa.2009.0446
Mozgunov, E., & Lidar, D. A. (2023). Quantum Adiabatic Theorem for Unbounded Hamiltonians with a Cutoff and its Application to Superconducting Circuits. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 381(2241). https://doi.org/10.1098/rsta.2021.0407
Nakamura, K., Khujakulov, A., Avazbaev, S., & Masuda, S. (2017). Fast Forward of Adiabatic Control of Tunneling States. Physical Review A, 95(6), 1–15. https://doi.org/10.1103/PhysRevA.95.062108
Purwanto, A., Sukamto, H., Subagyo, B. A., & Taufiqi, M. (2016). Two Scenarios on the Relativistic Quantum Heat Engine. Journal of Applied Mathematics and Physics, 04(07), 1344–1353. https://doi.org/10.4236/jamp.2016.47144
Setiawan, I. (2019). Dinamika Spin Kuantum Adiabatik Dipercepat pada Model Landau-Zener dan Model ISING. Jurnal Kumparan Fisika, 2, 57–64. https://doi.org/10.33369/jkf.2.1.57-64
Setiawan, I., Gunara, B. E., Masuda, S., & Nakamura, K. (2017). Fast Forward of the Adiabatic Spin Dynamics of Entangled States. Physical Review A, 96(5), 52106. https://doi.org/10.1103/PhysRevA.96.052106
Sugihakim, R., Setiawan, I., & Gunara, B. E. (2021). Fast-Forward of Local-Phased-Regularized Spinor in Massless 2+1-Dimensions Adiabatic Dirac Dynamics. Journal of Physics: Conference Series, 1951(1). https://doi.org/10.1088/1742-6596/1951/1/012068
Tan, K. O., Weber, R. T., Can, T. V., & Griffin, R. G. (2020). Adiabatic Solid Effect. Journal of Physical Chemistry Letters, 11(9), 3416–3421. https://doi.org/10.1021/acs.jpclett.0c00654
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