Artículo
Poggi, P.M.; Lombardo, F.C.; Wisniacki, D.A. "Time-optimal control fields for quantum systems with multiple avoided crossings" (2015) Physical Review A - Atomic, Molecular, and Optical Physics. 92(5)
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Abstract:
We study time-optimal protocols for controlling quantum systems which show several avoided level crossings in their energy spectrum. The structure of the spectrum allows us to generate a robust guess which is time optimal at each crossing. We correct the field applying optimal control techniques in order to find the minimal evolution or quantum speed limit (QSL) time. We investigate its dependence as a function of the system parameters and show that the QSL time gets proportionally smaller to the well-known two-level case as the dimension of the system increases. Working at the QSL, we study the control fields derived from the optimization procedure and show that they present a very simple shape, which can be described by a few parameters. Based on this result, we propose a simple expression for the control field and show that the full time evolution of the control problem can be analytically solved. © 2015 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Time-optimal control fields for quantum systems with multiple avoided crossings |
| Autor: | Poggi, P.M.; Lombardo, F.C.; Wisniacki, D.A. |
| Filiación: | Departamento de Física Juan Jose Giambiagi, IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina |
| Palabras clave: | Quantum theory; Avoided crossings; Control problems; Energy spectra; Optimal control technique; Optimization procedures; Simple expression; Time evolutions; Time optimal control; Quantum optics |
| Año: | 2015 |
| Volumen: | 92 |
| Número: | 5 |
| DOI: | http://dx.doi.org/10.1103/PhysRevA.92.053411 |
| Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics |
| Título revista abreviado: | Phys Rev A |
| ISSN: | 10502947 |
| CODEN: | PLRAA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v92_n5_p_Poggi |
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Citas:
---------- APA ----------
Poggi, P.M., Lombardo, F.C. & Wisniacki, D.A. (2015) . Time-optimal control fields for quantum systems with multiple avoided crossings. Physical Review A - Atomic, Molecular, and Optical Physics, 92(5).http://dx.doi.org/10.1103/PhysRevA.92.053411
---------- CHICAGO ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. "Time-optimal control fields for quantum systems with multiple avoided crossings" . Physical Review A - Atomic, Molecular, and Optical Physics 92, no. 5 (2015).http://dx.doi.org/10.1103/PhysRevA.92.053411
---------- MLA ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. "Time-optimal control fields for quantum systems with multiple avoided crossings" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 92, no. 5, 2015.http://dx.doi.org/10.1103/PhysRevA.92.053411
---------- VANCOUVER ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. Time-optimal control fields for quantum systems with multiple avoided crossings. Phys Rev A. 2015;92(5).http://dx.doi.org/10.1103/PhysRevA.92.053411
