Fast forward problem for adiabatic quantum dynamics: Estimation of the energy cost.
https://doi.org/10.17586/2220-8054-2024-15-4-457-464
Abstract
We consider the problem of energy cost needed for acceleration (deceleration) of the evolution of a quantum system using the Masuda–Nakamura’s fast forward protocol. In particular, we focus on dynamics by considering models for a quantum box with a moving wall and harmonic oscillator with time-dependent frequency. For both models we computed the energy needed for acceleration (deceleration) as a function of time. The results obtained are compared with those of other acceleration (deceleration) protocols.
Supporting agencies: This work is supported by the grant of the Agency of Innovative Development of the Republic of Uzbekistan, World Bank Project “Modernizing Uzbekistan National Innovation System” (Ref. Nr. REP-05032022/235).
About the Authors
J. D. Matrasulov
National University of Uzbekistan; National Research University TIIAME
Uzbekistan
Uzbekistan
J. D. Matrasulov – Faculty of Physics
Vuzgorodok, Tashkent 100174
Institute of Fundamental and Applied Research
Kori Niyoziy 39, Tashkent 100000
J. R. Yusupov
National University of Uzbekistan
Uzbekistan
Uzbekistan
R. Yusupov – Kimyo International University in Tashkent
156 Usman Nasyr Str., 100121, Tashkent
Faculty of Physics
Vuzgorodok, Tashkent 100174
Kh. Sh. Matyokubov
Urgench State Pedagogical Institute; Urgench State University
Uzbekistan
Uzbekistan
Kh. Sh. Matyokubov
1 Gurlan str., 220100, Urgench; 14 H. Olimjon Str., 220100, Urgench
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Review
For citations:
Matrasulov J.D., Yusupov J.R., Matyokubov Kh.Sh. Fast forward problem for adiabatic quantum dynamics: Estimation of the energy cost. Nanosystems: Physics, Chemistry, Mathematics. 2024;15(4):457-464. https://doi.org/10.17586/2220-8054-2024-15-4-457-464
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