Related papers: On global approximate controllability of a quantum particle in a box by moving walls

On global approximate controllability of a quantum particle in a box by moving walls

URL: http://arxiv.org/abs/2208.13475v1
Date: Mon, 29 Aug 2022 10:22:26 GMT
Title: On global approximate controllability of a quantum particle in a box by moving walls
Authors: Aitor Balmaseda, Davide Lonigro, Juan Manuel P\'erez-Pardo
Abstract summary: We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system. That is, any initial state can be driven arbitrarily close to any target state in the Hilbert space of the free particle with a predetermined final position of the box. To this purpose we consider weak solutions of the Schr\"odinger equation and use a stability theorem for the time-dependent Schr\"odinger equation.

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