Abstract:
Achieving full control of the time-evolution of a many-body quantum system is currently a major goal in physics. In this work we investigate the different ways in which the controllability of a quantum system can be influenced by its complexity, or even its chaotic properties. By using optimal control theory, we are able to derive the control fields necessary to drive various physical processes in a spin chain. Then, we study the spectral properties of such fields and how they relate to different aspects of the system complexity. We find that the spectral bandwidth of the fields is, quite generally, independent of the system dimension. Conversely, the spectral complexity of such fields does increase with the number of particles. Nevertheless, we find that the regular or chaotic nature of the system does not affect significantly its controllability. © 2016 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Optimal control of many-body quantum dynamics: Chaos and complexity |
Autor: | Poggi, P.M.; 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
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Palabras clave: | Quantum optics; Chaotic properties; Many-body quantum dynamics; Many-body quantum systems; Optimal control theory; Physical process; Spectral bandwidth; Spectral properties; System complexity; Quantum theory |
Año: | 2016
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Volumen: | 94
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Número: | 3
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.94.033406 |
Título revista: | Physical Review A
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Título revista abreviado: | Phys. Rev. A
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ISSN: | 24699926
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n3_p_Poggi |
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Citas:
---------- APA ----------
Poggi, P.M. & Wisniacki, D.A.
(2016)
. Optimal control of many-body quantum dynamics: Chaos and complexity. Physical Review A, 94(3).
http://dx.doi.org/10.1103/PhysRevA.94.033406---------- CHICAGO ----------
Poggi, P.M., Wisniacki, D.A.
"Optimal control of many-body quantum dynamics: Chaos and complexity"
. Physical Review A 94, no. 3
(2016).
http://dx.doi.org/10.1103/PhysRevA.94.033406---------- MLA ----------
Poggi, P.M., Wisniacki, D.A.
"Optimal control of many-body quantum dynamics: Chaos and complexity"
. Physical Review A, vol. 94, no. 3, 2016.
http://dx.doi.org/10.1103/PhysRevA.94.033406---------- VANCOUVER ----------
Poggi, P.M., Wisniacki, D.A. Optimal control of many-body quantum dynamics: Chaos and complexity. Phys. Rev. A. 2016;94(3).
http://dx.doi.org/10.1103/PhysRevA.94.033406