PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase

Autor: Rakhmanov, S., Trunk, C., Znojil, M., Matrasulov, D.
Rok vydání: 2024
Předmět:
Zdroj: Physical Review A 109, 053519 (2024)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.109.053519
Popis: We consider a quantum particle under the dynamical confinement caused by PT-symmetric box with a moving wall. The latter is described in terms of the time-dependent Schr\"{o}dinger equation obeying the time-dependent PT-symmetric boundary conditions. The class of the functions, describing time-dependence of the wall's position and keeping the system as PT-symmetric is found. Physically observable characteristics, such as average kinetic energy and the average quantum force are calculated as a function of time. Also, geometric phase is calculated for the harmonically oscillating wall regime. Experimental realization of the proposed model is discussed.
Databáze: arXiv