Boundary dynamics and topology change in quantum mechanics

Pérez-Pardo, J. M.; Barbero-Liñán, M.; Ibort, A.

doi:10.48550/arxiv.1501.02826

Cited by 1 publication

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“…The QCB paradigm has been used to show how to generate entangled states in composite systems by suitable modifications of the boundary conditions [30]. The relation of QCB and topology change has been explored in [39] and recently used to describe the physical properties of systems with moving walls ( [18], [19], [16], [17], [21]), but in spite of its intrinsic interest some basic issues such as the QCB controllability of simple systems has never been addressed.…”

Section: Introductionmentioning

confidence: 99%

“…In developing the theory it will be shown first, by means of a suitable chosen timedependent unitary transformation, that the variation of the boundary conditions of the system can be implemented as a time-dependent family of Hamiltonian operators, an idea that was already anticipated in [39]. The particular instance of quasi-periodic boundary conditions will be worked out explicitly and it will be shown that the system reduces to a linear system similar to those studied by Chambrion et al [11].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Control at the Boundary

Balmaseda

Pérez-Pardo

2019

Springer Proceedings in Physics

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We introduce a scheme for controlling the state of a quantum system by manipulating its boundary conditions. This contrasts with the usual approach based on direct interactions with the system, that is, by adding interaction terms to the Hamiltonian of the system. We address this infinite-dimensional control problem, providing conditions to the existence of dynamics and approximate controllability for a family of quantum one-dimensional systems.

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