Time-optimal control fields for quantum systems with multiple avoided crossings

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...

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Autores principales: Poggi, P.M., Lombardo, F.C., Wisniacki, D.A.
Formato: JOUR
Materias:
Quantum theory
Avoided crossings
Control problems
Energy spectra
Optimal control technique
Optimization procedures
Simple expression
Time evolutions
Time optimal control
Quantum optics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v92_n5_p_Poggi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10502947_v92_n5_p_Poggi2023-10-03T16:00:24Z Time-optimal control fields for quantum systems with multiple avoided crossings Poggi, P.M. Lombardo, F.C. Wisniacki, D.A. Quantum theory Avoided crossings Control problems Energy spectra Optimal control technique Optimization procedures Simple expression Time evolutions Time optimal control Quantum optics 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. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v92_n5_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 theory
Avoided crossings
Control problems
Energy spectra
Optimal control technique
Optimization procedures
Simple expression
Time evolutions
Time optimal control
Quantum optics
spellingShingle Quantum theory
Avoided crossings
Control problems
Energy spectra
Optimal control technique
Optimization procedures
Simple expression
Time evolutions
Time optimal control
Quantum optics
Poggi, P.M.
Lombardo, F.C.
Wisniacki, D.A.
Time-optimal control fields for quantum systems with multiple avoided crossings
topic_facet Quantum theory
Avoided crossings
Control problems
Energy spectra
Optimal control technique
Optimization procedures
Simple expression
Time evolutions
Time optimal control
Quantum optics
description 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.
format JOUR
author Poggi, P.M.
Lombardo, F.C.
Wisniacki, D.A.
author_facet Poggi, P.M.
Lombardo, F.C.
Wisniacki, D.A.
author_sort Poggi, P.M.
title Time-optimal control fields for quantum systems with multiple avoided crossings
title_short Time-optimal control fields for quantum systems with multiple avoided crossings
title_full Time-optimal control fields for quantum systems with multiple avoided crossings
title_fullStr Time-optimal control fields for quantum systems with multiple avoided crossings
title_full_unstemmed Time-optimal control fields for quantum systems with multiple avoided crossings
title_sort time-optimal control fields for quantum systems with multiple avoided crossings
url http://hdl.handle.net/20.500.12110/paper_10502947_v92_n5_p_Poggi
work_keys_str_mv AT poggipm timeoptimalcontrolfieldsforquantumsystemswithmultipleavoidedcrossings
AT lombardofc timeoptimalcontrolfieldsforquantumsystemswithmultipleavoidedcrossings
AT wisniackida timeoptimalcontrolfieldsforquantumsystemswithmultipleavoidedcrossings
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