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

• URL: http://arxiv.org/abs/2403.18283v1
• Date: Wed, 27 Mar 2024 06:19:35 GMT
• Title: PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
• Authors: S. Rakhmanov, C. Trunk, M. Znojil, D. Matrasulov,
• Abstract summary: 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"odinger equation obeying the time-dependent PT-symmetric boundary conditions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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