Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions

Balmaseda A, Lonigro D, Pérez-Pardo JM (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 56

Article Number: 325201

Journal Issue: 32

DOI: 10.1088/1751-8121/ace505

Abstract

We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with quasi-δ boundary conditions. This is a particular class of self-adjoint boundary conditions compatible with the graph structure. We prove that global approximate controllability can be achieved using two physically distinct protocols: either using the boundary conditions as controls, or using time-dependent magnetic fields. Both cases have time-dependent domains for the Hamiltonians.

Authors with CRIS profile

Davide Lonigro

Involved external institutions

University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro

Italy (IT) Universidad Carlos III de Madrid (UC3M)

Spain (ES)

How to cite

APA:

Balmaseda, A., Lonigro, D., & Pérez-Pardo, J.M. (2023). Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions. Journal of Physics A: Mathematical and Theoretical, 56(32). https://doi.org/10.1088/1751-8121/ace505

MLA:

Balmaseda, Aitor, Davide Lonigro, and Juan Manuel Pérez-Pardo. "Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions." Journal of Physics A: Mathematical and Theoretical 56.32 (2023).

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