PHYSICS

Fast forward problem for adiabatic quantum dynamics: estimation of the energy cost

J. D. Matrasulov^ab, J. R. Yusupov^ac, Kh. Sh. Matyokubov<sup>de

a</sup> Faculty of Physics, National University of Uzbekistan, Vuzgorodok, Tashkent, Uzbekistan
^b Institute of Fundamental and Applied Research, National Research University TIIAME, Tashkent, Uzbekistan
^c Kimyo International University in Tashkent, Tashkent, Uzbekistan
^d Urgench State Pedagogical Institute, Urgench, Uzbekistan
^e Urgench State University, Urgench, Uzbekistan

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.

Keywords: energetic cost, shortcuts to adiabaticity, statistical physics and thermodynamics.

Received: 30.04.2024
Revised: 11.06.2024
Accepted: 21.07.2024

Language: English

DOI: 10.17586/2220-8054-2024-15-4-457-464

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