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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v92_n5_p_Poggi http://hdl.handle.net/20.500.12110/paper_10502947_v92_n5_p_Poggi |
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paper:paper_10502947_v92_n5_p_Poggi2023-06-08T16:02:52Z Time-optimal control fields for quantum systems with multiple avoided crossings Wisniacki, Diego 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v92_n5_p_Poggi 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 Wisniacki, Diego 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. |
author |
Wisniacki, Diego A. |
author_facet |
Wisniacki, Diego A. |
author_sort |
Wisniacki, Diego A. |
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 |
publishDate |
2015 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v92_n5_p_Poggi http://hdl.handle.net/20.500.12110/paper_10502947_v92_n5_p_Poggi |
work_keys_str_mv |
AT wisniackidiegoa timeoptimalcontrolfieldsforquantumsystemswithmultipleavoidedcrossings |
_version_ |
1768543715419226112 |