Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles

NICOLAS DEL GROSSO; FERNANDO C LOMBARDO; FRANCISCO D MAZZITELLI; PAULA I VILLAR

ENTROPY

MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI

Lugar: Basel; Año: 2023 vol. 25 p. 1249 - 1267

1099-4300

Shortcuts to adiabaticity (STA) are relevant in the context of quantum systems, particularlyregarding their control when they are subjected to time-dependent external conditions. In this paper,we investigate the completion of a nonadiabatic evolution into a shortcut to adiabaticity for a quantumfield confined within a one-dimensional cavity containing two movable mirrors. Expanding uponour prior research, we characterize the field’s state using two Moore functions that enables us toapply reverse engineering techniques in constructing the STA. Regardless of the initial evolution, weachieve a smooth extension of the Moore functions that implements the STA. This extension facilitatesthe computation of the mirrors’ trajectories based on the aforementioned functions. Additionally, wedraw attention to the existence of a comparable problem within nonrelativistic quantum mechanics.