Optimal control of many-body quantum dynamics: Chaos and complexity

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 contr...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Wisniacki, Diego A.
Publicado:	2016
Materias:	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
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n3_p_Poggi http://hdl.handle.net/20.500.12110/paper_24699926_v94_n3_p_Poggi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_24699926_v94_n3_p_Poggi
record_format	dspace
spelling	paper:paper_24699926_v94_n3_p_Poggi2023-06-08T16:36:02Z Optimal control of many-body quantum dynamics: Chaos and complexity Wisniacki, Diego A. 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 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. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n3_p_Poggi http://hdl.handle.net/20.500.12110/paper_24699926_v94_n3_p_Poggi
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	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
spellingShingle	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 Wisniacki, Diego A. Optimal control of many-body quantum dynamics: Chaos and complexity
topic_facet	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
description	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.
author	Wisniacki, Diego A.
author_facet	Wisniacki, Diego A.
author_sort	Wisniacki, Diego A.
title	Optimal control of many-body quantum dynamics: Chaos and complexity
title_short	Optimal control of many-body quantum dynamics: Chaos and complexity
title_full	Optimal control of many-body quantum dynamics: Chaos and complexity
title_fullStr	Optimal control of many-body quantum dynamics: Chaos and complexity
title_full_unstemmed	Optimal control of many-body quantum dynamics: Chaos and complexity
title_sort	optimal control of many-body quantum dynamics: chaos and complexity
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n3_p_Poggi http://hdl.handle.net/20.500.12110/paper_24699926_v94_n3_p_Poggi
work_keys_str_mv	AT wisniackidiegoa optimalcontrolofmanybodyquantumdynamicschaosandcomplexity
_version_	1768546514186010624

Optimal control of many-body quantum dynamics: Chaos and complexity

Ejemplares similares