Výsledky vyhledávání - "Pérez-Pardo A"

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The relativistic rotated harmonic oscillator

Autor: Balmaseda, A., Krejcirik, D., Pérez-Pardo, J. M.

We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real and discrete, we show that the eigenfunctions do not form a basis and t

Externí odkaz: http://arxiv.org/abs/2411.16494

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Global approximate controllability of quantum systems by form perturbations and applications

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian modulated by a control function. We rely on previous results on controll

Externí odkaz: http://arxiv.org/abs/2402.02955

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On a sharper bound on the stability of non-autonomous Schr\'odinger equations and applications to quantum control

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

Publikováno v: J. Funct. Anal. 287 (2024), 110563

We study the stability of the Schr\"odinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Schr\"odinger equation by the difference of their Hamiltonians. The sta

Externí odkaz: http://arxiv.org/abs/2306.10203

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On Uhlmann's proof of the Monotonicity of the Relative Entropy

Autor: Pérez-Pardo, Juan Manuel

Publikováno v: In Particles, Fields and Topology. World Scientific. (2023)

This article presents in a self-contained way A. Uhlmann's celebrated Theorem of monotonicity of the relative entropy under completely positive and trace preserving maps. The Theorem is presented in its more general form and meaningful examples are g

Externí odkaz: http://arxiv.org/abs/2210.13093

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

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

Publikováno v: SIAM J. Control Optim. 62 (2024), 826-852

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 stat

Externí odkaz: http://arxiv.org/abs/2208.13475

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On the Schr\'odinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

Publikováno v: Mathematics 2022, 10, 218

We study two seminal approaches, developed by B. Simon and J. Kisy\'nski, to the well-posedness of the Schr\"odinger equation with a time-dependent Hamiltonian. In both cases the Hamiltonian is assumed to be semibounded from below and to have constan

Externí odkaz: http://arxiv.org/abs/2112.11063

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Akademický článek

On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

Publikováno v: In Journal of Functional Analysis 15 October 2024 287(8)

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

Autor: Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel

Publikováno v: J. Phys. A: Math. Theor. 56 (2023), 325201

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-$\delta$

Externí odkaz: http://arxiv.org/abs/2108.00495

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