Geodesic
Fast forward problem for adiabatic quantum dynamics: estimation of the energy cost
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 457-464

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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.
Keywords: energetic cost, shortcuts to adiabaticity, statistical physics and thermodynamics. 
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     author = {J. D. Matrasulov and J. R. Yusupov and Kh. Sh. Matyokubov},
     title = {Fast forward problem for adiabatic quantum dynamics: estimation of the energy cost},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {457--464},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a2/}
}
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J. D. Matrasulov; J. R. Yusupov; Kh. Sh. Matyokubov. Fast forward problem for adiabatic quantum dynamics: estimation of the energy cost. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 457-464. http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a2/