On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls
Balmaseda A, Lonigro D, Pérez-Pardo JM (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 62
Pages Range: 826-852
Issue: 2
DOI: 10.1137/22M1518980
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: any initial pure state can be driven arbitrarily close to any target pure 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 Schrödinger equation and use a stability theorem for the time-dependent Schrödinger equation.
Authors with CRIS profile
Involved external institutions
Universidad Carlos III de Madrid (UC3M)
Spain (ES)
University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro
Italy (IT)
Spain (ES)
University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro
Italy (IT)
How to cite
APA:
Balmaseda, A., Lonigro, D., & Pérez-Pardo, J.M. (2024). On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls. SIAM Journal on Control and Optimization, 62, 826-852. https://doi.org/10.1137/22M1518980
MLA:
Balmaseda, Aitor, Davide Lonigro, and Juan Manuel Pérez-Pardo. "On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls." SIAM Journal on Control and Optimization 62 (2024): 826-852.
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